CJ AAEC/E500 AUSTRALIAN ATOMIC ENERGY COMMISSION RESEARCH ESTABLISHMENT LUCAS HEIGHTS A COMPILATION OF EXPERIMENTAL BURNOUT DATA FOR AXIAL FLOW OF WATER IN ROD BUNDLES by A.G. CHAPMAN G. CARRARD February 1981 ISBN 0 642 59706 5 AUSTRALIAN ATOMIC ENERGY COMMISSION RESEARCH ESTABLISHMENT LUCAS HEIGHTS A COMPILATION OF EXPERIMENTAL BURNOUT DATA FOR AXIAL FLOW OF WATER IN ROD BUNDLES A.G. CHAPMAN G. CARRARD ABSTRACT A compilation has been made of burnout (critical heat flux) data from the results of more than 12 000 tests on 321 electrically-heated, water-cooled experimental assemblies each simulating, to some extent, the operating or postulated accident conditions in the fuel elements of water-cooled nuclear power reactors. The main geometric characteristics of the assemblies are listed and references are given for the sources of information from which the data were gathered. Three practical uses of the compilation are surveys of parametric effects on burnout, tests of burnout formulas, and optimisation of the empirical coefficients in burnout formulas. The report presents details and discusses aspects of (Continued) (i) the composition of the compilation in terms of various distinctive features of the assemblies or tests; (ii) the distributions of tests over the ranges of 20 important variables; and (iii) the distributions of tests over various fields of conditions defined by variables considered simultaneously in pairs or sets of four. Details of the composition of the compilation and of the distributions of tests are shown in tables and histograms. These provide information from which a user of the compilation may assess the relevance of the data to areas of particular interest. The overall distribution of tests is discussed. It is concluded that although the adequacy of the compilation to furnish significant samples of data varies considerably with the location and delimitation of the area of interest, a reasonable latitude in defining this area enables the compilation to provide an effective data base. National Library of Australia card number and ISBN 0 642 59706 5 The following descriptors have been selected from the INIS Thesaurus to describe the subject content of this report for information retrieval purposes. For further details please refer to IAEA-INIS-12 (INIS: Manual for Indexing) and IAEA-INIS-13 (INIS: Thesaurus) published in Vienna by the International Atomic Energy Agency. BURNOUT; FUEL ELEMENTS; REACTOR ACCIDENTS; SIMULATION; HEAT FLUX; WATER-COOLED REACTORS; EXPERIMENTAL DATA PREFACE f A vital factor in the economy and safety of nuclear reactors is Efficiency of heat transfer. When the reactor is cooled by a liquid, like 'most of those in use today, no aspect of heat transfer is more significant than burnout, a physical phenomenon which limits the rate of efficient heat removal from a surface by a boiling liquid. Burnout is the fundamental topic of this report; it is therefore appropriate to state briefly what it is, how the term is related to others in common use, and why it is necessary to study it. 'Burnout' is the popular term for an effect produced by a local transition in the mechanism of heat transfer which occurs at a surface cooled by a boiling liquid when the heat flux attains a certain critical level, dependent on the local conditions. At the transition, liquid ceases to wet the surface and there is an abrupt and often substantial reduction in the local heat transfer coefficient. In situations where the heat flux is independent of the heat transfer coefficient, this produces an abrupt rise in the temperature of the surface. The magnitude of the temperature rise depends on the conditions; it may be enough to destroy a metal surface and hence the effect is called 'burnout', whether or not the surface is damaged. The term 'burnout' describes an effect which may be observed, but it does not signify the nature of the transition or crisis that causes it. There are different kinds of boiling crisis that result in burnout; generally the nature of the crisis cannot be observed, but it may be surmised. On this basis the term 'burnout' can be replaced by one of two more specific terms: 'Departure from nucleate boiling (DNB)' is a term denoting the crisis that locally terminates a nucleate boiling process; this crisis is a common cause of burnout when a coolant with low vapour content flows over a heated sur face. 'Dryout' denotes a burnout that arises from the eventual disappearance of a liquid film that flows along the heated surface when the coolant has a high vapour content. An older and more general term that is often preferred is: 'Critical heat flux (CHF)1 which denotes the heat flux at a boiling crisis regardless of its effect. In a system in which the heat flux is controlled, the effect is burnout, whereas in a system with surface temperature control, the effect is the initiation of a limited phase of heat transfer in which there is a progressive reduction of heat flux with increasing surface temperature. In water-cooled nuclear power reactors, the fuel is contained in long, parallel, cylindrical rods arranged in regular arrays called 'rod bundles'. The heat released in the fuel is transferred to water flowing axially through the rod bundles at or near boiling conditions and the ability to predict the burnout heat flux is essential, both for the avoidance of burnout under operating conditions and for an assessment of the safety of the reactor system under postulated accident conditions. As a part of a varied program of research into safety assessment aspects of water-cooled nuclear reactors, the AAEC's Research Establishment at Lucas Heights has been investigating simple methods of predicting the burnout heat flux in water-cooled rod bundles. One of the first requirements of the investigation was the assembly of a bank of experimental data against which theoretical predictions could be tested. This report is concerned solely with a description of this data bank. CONTENTS 1. INTRODUCTION 1 2. USES OF THE DATA COMPILATION 3 3. RULES FOR ADMISSION OF DATA 4 4. NAMING OF REVISIONS OF THE COMPILATION 5 5. DISTINCTIVE FEATURES OF THE TEST ASSEMBLIES AND TEST CONDITIONS 5 5.1 Rod Arrangement and Duct Shape 6 5.2 Distribution of Heat Flux 7 5.3 Phase Condition of the Coolant 8 5.4 Unusual or Abnormal Features of Tests 11 6. DISTRIBUTIONS OF THE TESTS OVER THE RANGES OF PRINCIPAL VARIABLES 11 6.1 Distributions with Respect to Single Variables 12 6.2 Distribution of Tests Over the Ranges of Two or More Variables Considered Simultaneously 23 7. GENERAL DISCUSSION 25 8. CONCLUSIONS 6 9. ACKNOWLEDGEMENTS 27 10. REFERENCES 8 10.1 General 8 10.2 Sources of Published Data 29 11. NOTATION 38 12. GLOSSARY 40 13. ABBREVIATIONS USED IN THE TEXT 44 13.1 Laboratory Names and Locations and Number of Tests 44 13.2 Names of Reactor Concepts and Designs 45 CONTENTS (Continued) Table 1 Compilations of Burnout Data for Axial Flow of 48 Water Through Rod Bundles and Annuli Table 2A Main Characteristics of Test Assemblies 50 Table 2B Number and Range of Burnout Tests with Each Assembly 51 Table 2C Meanings of Symbols Used to Indicate Special Features 58 of Assemblies Table 2D Grid or Rod Spacer Types and Reference Numbers 59 Table 3A Composition of the Data Bank in Respect of Rod 60 Arrangement Table 3B Subdivision of Rod Arrangement Classes According to 60 Number of Rods Table 3C Composition of the Data Bank in Respect of the Shape 61 of the Assembly Duct Table 4A Composition of the Data Bank in Respect of Heat Flux 62 Distribution Table 4B Subdivision of Tests with Axially Non-Uniform Heating 63 According to Flux Profile Table 4C Distribution of Tests Between Assemblies with Unheated 63 and Heated Ducts Table 5 Distribution of Burnout Tests According to Phase 64 Condition of the Coolant Table 6A Composition of the Data Bank in Respect of Unusual or 65 Abnormal Features of the Test Assembly Table 6B Numbers of Tests Associated with Individual Features 65 Tables Distribution of Tests Among Regions Defined by Equal 66- 7-17 Divisions of the Ranges of 2 Variables Considered 86 Simultaneously Tables Distribution of Tests Among Regions Defined by 88- 18-26 Percentile Divisions of the Ranges of 2 Variables 96 Considered Simultaneously Tables Distribution of Tests Among Regions Defined by 98- 27-31 Percentile Divisions of the Ranges of 4 Variables 105 Considered Simultaneously CONTENTS (Continued) Figure 1 Distribution of tests over the range of system 107 pressure Figure 2 Distribution of tests over the range of coolant 108 mass flux Figure 3 Distribution of tests over the range of coolant 109 quality at channel inlet Figure 4 Distribution of tests over the range of coolant 110 bulk quality at burnout Figure 5 Distribution of tests over the range of local 111 burnout heat flux Figure 6 Distribution of tests over the range of number 112 of rods Figure 7 Distribution of tests over the range of rod diameter 113 Figure 3 Distribution of tests over the range of rod 114 pitch:diameter ratio Figure 9 Distribution of tests over the range of hydraulic 115 equivalent diameter Figure 10 Distribution of tests over the range of heated 116 equivalent diameter Figure 11 Distribution of tests over the range of 117 heated:wetted perimeter ratio Figure 12 Distribution of tests over the range of heat flux 118 transverse form factor Figure 13 Distribution of tests over the range of heat flux 119 axial form factor Figure 14 Distribution of tests over the range of heated length 120 Figure 15 Distribution of tests over the ratio of heated length 121 to heated equivalent diameter Figure 16 Distribution of tests over the range of boiling length 122 Figure 17 Distribution of tests over the ratio of boiling length 123 to heated equivalent diameter Figure 18 Distribution of tests over the range of boiling 124 number x 1000 Figure 19 Distribution of tests over the range of Weber number 125 Figure 20 Distribution of tests over the range of liquid 126 Froude number 1. INTRODUCTION The fundamental importance of the burnout phenomenon in nuclear engineering has encouraged a search for theoretical explanations and there has been some success in the analytical treatment of dryout in tubes and rod bundles. However, extended study has so far failed to produce an adequate theory of burnout in flow boiling that would permit accurate prediction of the burnout heat flux in rod bundles. Investigators have therefore resorted to empirical methods. Since the 1950s, many tens of thousands of tests have been performed in laboratories around the world to measure burnout heat fluxes in electrically-heated, water-cooled test channels of many different forms, with many different conditions of the coolant. At first, the aim was to derive a general empirical formula for the prediction of burnout heat flux and some measure of success was achieved in the cases of round tubes and annular ducts, the simplest forms of coolant channel. Burnout is essentially a local event, however, and in complex flow channels the internal variations of fluid condition determined by velocity, temperature, and voidage distributions can have a significant effect on the burnout heat flux. Since no terms have yet been found which express simply and adequately the influences of such variations, there has been only limited success in the derivation of a burnout formula for flow in rod bundles. In more recent times, therefore, the aim of most burnout tests has been to determine the burnout characteristics of particular rod bundle arrangements directly, using full-scale models of either whole fuel element assemblies or portions of them. These tests have been performed on specially made and instrumented assemblies with electrically-heated rods simulating the fuel rods of a nuclear reactor. In some cases, the rods have been heated non-uniformly along their length, imitating to some degree the distribution of fission heat release in a reactor fuel element. Large test rig installations have been required to produce flow, pressure, and temperature conditions similar to those of an operating reactor, and to provide sufficient rates of heat release in the rods to cause burnout at these conditions which, of course, exceed the normal rates of heat release in the actual fuel rods. In the absence of an adequate theory, the accumulated results of these tests are the only source of basic knowledge about burnout in rod bundles. Not all of the results are freely available; large-scale burnout experiments are very costly and many have been made during the development of commercial designs of fuel element; consequently there is an unknown, but probably very large, number of results which have not been published because they might disclose proprietary information. The results that have been reported in detail in the open literature, coming from a variety of sources and existing for a variety of reasons, form a medley of data in which systematic variation is confined to small ranges of a few variables. Nevertheless, they are sufficient in number and diversity to provide an effective general reference base of established burnout observations. This report describes, in detail, a systematic compilation of these published experimental burnout data, augmented by other data that have been made available to the authors. Only water test data are included and the compilation is expressly of rod bundle data; however, a limited amount of data for annular channels is admitted because these channels may be regarded as extreme cases of a rod bundle. ? From time to time, additional data become available and, if considered admissible, these data are added to the data bank. The name BACE is used to refer to the compilation in general; various revisions are denoted by extensions to the name which indicate the date of revision. This is discussed in more detail in Section 4. The version described in this report is BACE279C. Several previous compilations of rod bundle and annulus burnout data have been published. Table 1 gives brief particulars of these together with details of BACE279C. At about the time of the Barnett [1968] compilation, an unpublished computer file of burnout data was assembled at AEEW. A part of this file, consisting of the results of 367 tests on 24 rod bundles, was supplied to the authors and forms the nucleus of BACE. In its current state, the compilation contains the results of 12 473 burnout tests. The data have been extracted from 91 reports of investigations carried out in 24 laboratories in nine countries. All admissible rod bundle data from sources named in the previous compilations (see Table 1) are included (no details of Mironov's sources appear to have been published). Location of the sources of early data was greatly assisted by published summaries, such as those of Tong [1969, 1972] which list particulars of more than 35 rod bundles and indicate the sources of data for 3148 tests, and Hughes [1970a] which lists particulars of 36 rod bundles and the sources of data for 1846 tests. The system, structure, and format of the data records will be fully described in a users' manual. In the following sections, the rules adopted as the criteria for data admission are explained and the general features and scope of the compilation are described. Because this report is a general reference handbook for the BACE279C compilation, Sections 5 and 6 are quite detailed. They may be omitted by the casual reader, but should help the intending user who is interested in a particular aspect of the data. Throughout this report, laboratories and reactor designs are referred to by acronym or abbreviated name; these are identified in Section 13. Notation and a glossary of terms are given in Sections 11 and 12 respectively. References by author(s) name and date are listed in Section 10.1 and references to tabulated sources of data are cited in numerical sequence in Section 10.2. 2. USES OF THE DATA COMPILATION Three main uses for the data compilation are envisaged. (a) Surveys of parametric effects Nominally constant values may be chosen for all but one of the principal independent variables and data selected within limits set suitably close to the nominal values. The resulting data subset contains information revealing the isolated effect of the remaining independent variable upon the burnout heat flux. Variables may be simple or compound, a compound variable being a specific combination of simple variables. (b) Tests of burnout formulas Burnout test values of a variable may be compared with corresponding values calculated from a burnout formula. A statistically significant number of such comparisons indicates the accuracy of the formula within the range of the data selected. If small ranges are chosen and these are varied systematically, the influence of system conditions on the performance of the formula may be determined. (c) Optimisation of burnout formulas The empirical coefficients of a burnout formula may be optimised by methods of multiple regression using data sets generated from the compilation. 3. RULES FOR ADMISSION OF DATA The following rules govern the admission of data -co the BACE compilation: (a) The data must have been obtained from detailed descriptions of water-cooled rod bundle or annul us assemblies, and from the tabulated results of actual tests on these assemblies in which burnout was detected. Data obtained by interpolation or scaled from graphical presentations of results are not admitted. (b) There must not be any doubt about the validity of the data founded upon an objective assessment of the suitability of the test apparatus or the method of conducting the test. (c) There must be no clear indication that burnout was induced by flow instability. A test result is not admitted if the measured burnout power is significantly and singularly lower than that measured in the same channel with substantially the same pressure and mass flux but higher enthalpy at the inlet to the channel. (d) The data admitted from any one test series must be self-consistent. A test series is a number of tests performed on the same assembly with systematic variation of any of the independent variables governing the condition of the coolant. Graphical plots or statistical analysis of the data must clearly indicate, to the extent that is possible, a systematic relation between principal dependent and independent variables. Results which are plainly shown by the plots or analysis to be inconsistent with the main body of data are discarded. (e) Data from tests on assemblies with unusual or abnormal features (such as an eccentric rod or rod bundle, a bowed rod, horizontal or downward flow, or misalignment of rods) are admitted. A system of labels is used to indicate the nature of the abnormality and permit preferential selection of data. (f) All available data from tests on rod bundle assemblies satisfying the foregoing requirements are admitted without selection. A single rod enclosed in a non-circular duct is classed as a rod bundle. Data from tests on annular channels satisfying the foregoing requirements may be admitted, provided that annular channels are not disproportionately represented in the compilation. To ensure this, no more than about 10 per cent of the tests providing data in the compilation are to relate to annular channels. (This is about the greatest proportion of tests relating to any one number of rods in the BACE279C compilation and is roughly the same proportion as that relating to assemblies of seven, nine, nineteen or thirty-seven rods.) 4. NAMING OF REVISIONS OF THE COMPILATION Revisions of the compilation are identified by adding to the generic name (BACE) three characters indicating the date of revision and one character indicating whether confidential data are included. The first of the three characters specifies the month, the other two the year. The first nine months of the year are indicated by the numerals 1 to 9, the last three by their ?Initial letttr. A final character C indicates that a compilation contains some confidential data, a final U denotes a version from which confidential data have been excluded. Thus, the name BACE279C identifies the state of the confidential version of the BACE compilation in February 1979. 5. DISTINCTIVE FEATURES OF THE TEST ASSEMBLIES AND TEST CONDITIONS A list of the test assemblies included in the compilation is given in Table 2A. The entire data compilation which resides in a computer reference volume is, of course, too large to be listed here. The list indicates the sources of the data and summarises the main geometric characteristics of the assemblies. The distribution of heat flux over the heated surfaces, which is usually effected by varying the wall thickness, is regarded as a geometric characteristic. A complementary list (Table 2B) shows the number of burnout tests recorded for each assembly and the ranges of the principal test conditions. In this compilation, the identity of a test assembly is determined by the geometric characteristics; identical 'rebuilds1 are not regarded as different assemblies, but an adjustment that effects a significant change in a characteristic is generally regarded as creating a different assembly. This explains the occurrence of numbers of very similar assemblies in the list. When adjustments are numerous, however, it is not practical to allocate separate identities to each modification and some assemblies have a variable geometric characteristic. In these cases, separate entries for the assembly are made in Tables 2A and 2B for groups of tests made with significantly different average values of the variable characteristic. To simplify description of the composition of the data bank, burnout tests have been broadly classified according to various distinctive characteristics of the assembly or test condition, namely (i) the form of rod arrangement and duct shape, (ii) the distribution of heat flux, (ill) the phase condition of the coolant, and (iv) the presence of unusual or abnormal features. Each of these characteristics provides a different aspect from which the composition of the data bank can be viewed. In the remarks which follow, it is the composition of the data bank as a whole that is described. This does not mean that the compilation is an indivisible body of data; it may readily be subdivided, using computer sorting techniques, into subsets with particular characteristics. Qualitative as well as quantitative information is included in the data and many qualitative attributes such as rod pitch arrangement, form and skew of axial heat flux profile, and the nature of peculiarities may be identified for the purpose of sorting the data. 5.1 Rod Arrangement and Duct Shape Table 3A shows the number of tests associated with various forms of rod arrangement or array. As might be expected, the two largest classes, accounting betvieen them for 70 per cent of the tests, are the circular pitch and square pitch forms generally used in the fuel elements of water-cooled nuclear power reactors of the pressure tube and pressure vessel types respectively. Tests with circular pitch arrays outnumber those with square pitch arrays in the ratio 3:2. This bias is due largely to the substantial quantity of data for the former arrangement made available to the authors by AEEW. The third largest class, accounting for 19 per cent of the total number of tests, contains tests performed on assemblies with rods arranged on an equilateral triangular pitch, as is specified in the design of fuel elements for the conceptual LWBR. One third of the tests included in this class were, in fact, made in support of the LWBR program. Half of the tests in the triangular pitch class were performed on bundles of three rods, an arrangement commonly used in the small-scale tests of early research programs. In this respect, the triangular pitch class contrasts strongly with the square pitch class, in which only 8 per cent of the tests were performed on elementary rod arrangements. The subject of rod number is treated more fully later in this report but, since size is an important characteristic of arrays, the three main classes of rod arrangement have been subdivided according to rod number. The details are given in Table 3B. Six rods spaced evenly around a central rod may be regarded as either a circular pitch array or a triangular pitch array; such bundles are classed as the former if the enclosing duct is circular in section and as the latter if it is not circular. This classification, though logical, may not suit all purposes and, therefore, the number of tests on 7-rod bundles included in the circular pitch class is shown separately in Tables 3A and 3B. The annular arrangement forms a small class because the number of annul us tests included in the compilation has been deliberately restricted to avoid an undue emphasis on single rod assemblies. However, in view of the relatively small quantity of data that is available from tests with axially non-uniform heat flux (in assemblies of any kind), a high proportion of the annul us data selected for inclusion is from tests of this type. A classification of the tests according to the shape of the duct enclosing the rod bundle is given in Table 3C. All of the circular pitch arrays, most of the 3-rod triangular pitch arrays, and some of the 4-rod square pitch arrays are enclosed in ducts of circular cross-section. Annular arrangements, of course, also fall into this class. The result is that 6U per cent of the tests in the compilation are associated with circular ducts. The remainder of the square pitch arrays are enclosed in ducts of rectangular (mostly square) or cruciform cross-section. With the exception of the 3-rod arrays, which have either circular or triangular ducts, triangular pitch arrays are enclosed in ducts of hexagonal or parallelogrammatic cross-section. Those single rods not in annular or simulated circular pitch arrangements are enclosed in either square or hexagonal ducts. 5.2 Distribution of Heat Flux A broad classification of the tests according to the distribution of heat flux over the heated surfaces is given in Table 4A. Although the data are fairly evenly divided between uniform and non-uniform distributions in the radial direction, 87 per cent of the tests were performed on test assemblies with rods heated uniformly along their length. The paucity of published burnout data for axially non-uniform heat flux can be attributed to the high 8 cost of manufacturing and instrumenting the test assemblies, especially multi-rod bundles. Not only have fewer experiments been performed on assemblies with axially non-uniform heating, but a large proportion of the results that have been obtained is classed as proprietary information and is not freely available. It has already been mentioned, in connection with rod arrangement, that the axially non-uniform heat flux component of the data bank was reinforced by preferential selection of annulus tests. As a result, experiments with annular arrangements contribute almost a quarter of the total number of tests associated with axially non-uniform heat flux. A large proportion of the axially non-uniform heat flux tests (95 per cent) provide information about the axial position of the burnout point. In about 2.5 per cent of the tests with axially uniform heat flux, burnout was first detected at a point upstream of the end of the heated length; its position is recorded in the data. A further resolution of the axially non-uniform heat flux tests into classes according to the form and skew of the axial flux profile is given in Table 4B. Two-thirds of these tests are associated with profiles that are symmetrical about the mid-length of the channel; these profiles generally approximate a truncated cosine form. Among the remainder of the tests, those with profiles skewed towards the channel exit outnumber those with skew towards the inlet in the ratio of 5:2. Half of the latter were performed with step flux profiles but, in general, the number of tests associated with step or spike (i.e. 'hot patch1) profiles is small. In a small proportion of the tests (see Table 4C), the duct enclosing the rod or rod bundle was heated to simulate the effect of the surrounding rods in a larger array. All of the tests with axially non-uniform heating of the duct were performed on assemblies with single, uniformly-heated rods; about one third were performed on an annular assembly with a truncated cosine distribution of heat flux along the outer tube and the others were performed on a one-rod simulation of a circular pitch array with heating applied to only part of the length of the duct. 5.3 Phase Condition of the Coolant In a large proportion (over 90 per cent) of the tests, the cooling water entered the test channel in a subcooled condition, i.e. at a temperature below saturation. In about one in seven cases, the average condition of the water at the cross-section containing the burnout point was also subcooled. The number of tests in each class is to be found in Table 5. Burnout data from tests in which the coolant was admitted to the test channel with a small degree of subcooling or as a two-phase mixture must be used with discretion. It is well known that the presence of a compressible medium, both upstream and downstream of a test channel which has a sufficiently low pressure drop, enables flow oscillations to develop, inducing burnout at a lower heat flux. The results of burnout tests may thus be affected if there is surface or bulk boiling in the preheater, or if steam is mixed with the water admitted to the test channel. The flow oscillation is confined to the two-phase region and often escapes detection by the instruments normally used in burnout tests. A high pressure drop tends to inhibit flow oscillation and, in many of the reported tests with a steam-water mixture at the test channel inlet, stable flow conditions were achieved by placing a flow restriction just upstream of the test channel. An endeavour has been made to exclude any data affected by flow oscillation by the application of rule (c) (Section 3), but this rule is by no means infallible. The stability of the flow cannot be inferred from the presence or absence of an upstream flow restriction because the insertion of a restriction is not always necessary, nor is it always sufficient, to produce flow stability. Judgement on whether a result is affected by flow oscillation rests entirely on a comparison of the result with others obtained in the same series of tests. In some series, the range of coolant inlet condition extended from a highly subcooled state, in which the results would not have been affected, into a two-phase state, in which they might have been. In these cases, affected results are easily recognised by a distinct lack of consistency with the trend of the unaffected results, which is a regular though not necessarily uniform decrease in burnout heat flux with increase in inlet enthalpy at constant pressure and mass flow rate. There are other series, however, in which all tests were performed with two-phase inlet conditions and any of the results might have been affected; about one third of the two-phase inlet tests included in the compilation are in this class. In these cases, two methods have been used to single out affected data. Firstly, if repeated tests have produced significantly different results, the tests indicating the lower values of burnout heat flux have been excluded. Secondly, an unsystematic reversal of the normal trend of burnout results is considered to be a sign of premature burnout due to flow oscillation and a 10 test has been excluded if it indicates a singularly lower burnout power than another test performed on the same assembly, at the same pressure and mass flow rate, but with a significantly higher inlet enthalpy. The procedures described above do not ensure the exclusion of all data affected by flow oscillation. There are examples of data [ref. 42] which, in isolation, present a normal trend, but which are known to be affected because a repetition of the tests after the insertion of an upstream flow restriction produced different results. Such checks have not been the general rule in burnout experiments and, in some cases, affected data may not have been recognised and may be included in the compilation. Attention must be drawn to the fact that self-consistency of data is the only requirement that has been imposed; no test of compatibility between sets of data from different sources has been applied. Such a test might, of course, reveal an abnormality which could be attributed to the effect of flow oscillation. However, it is left to the user to make judgements of this kind. The authors have adhered to the principle that data should not be excluded solely on the grounds of nonconformity with the majority. When the coolant is admitted as a two-phase mixture to a short test assembly, or to one in which there is little of the mixing action which may be provided by rod spacers, the burnout heat flux is affected by the distribution of the phases at inlet to the assembly. This distribution depends upon the methods of production and introduction of the mixture. The methods used in the tests were as follows: (i) Combination of slightly subcooled water and saturated or slightly superheated steam in a mixing device designed to produce a uniform suspension of droplets, or 'fog'. (ii) Throttling of high-pressure, subcooled water or steam-water mixture to produce a low quality steam-water mixture. (iii) Partial evaporation of water in a once-through electric heater to produce a flowing steam-water mixture. (iv) Use of a flow diverter in a flowing steam-water mixture to concentrate the flow (i.e. most of the water, since the liquid phase is more effectively diverted) into the core or rod-filled section of the test assembly. 11 (v) Injection of separate streams of subcooled water and superheated steam into an inlet chamber of the test assembly, the water being directed into the core of the assembly or sprayed onto unheated leading extensions of the rods. In the compilation, phase distribution is broadly classed and indicated as uniform or non-uniform. Although only the first of the methods listed above is likely to have mixed the phases thoroughly, the first three are regarded as having produced uniform mixtures. The last two, by design, produced non-uniform mixing. In all cases of non-uniform mixing, the water was directed preferentially into the vicinity of the rods or onto their surfaces. The results of tests on annular assemblies with non-uniformly mixed two-phase inlet conditions [ref. 87] indicate an effect of the upstream unheated rod length on the burnout heat flux; consequently, this length is included in the data whenever the inlet phase distribution was non-uniform. 5.4 Unusual or Abnormal Features of Tests More than 90 per cent of the tests were performed on assemblies of nominally clean, smooth, straight, parallel rods arranged centrally within vertical ducts and cooled by a forced upflow of water, or steam-water mixture. The ranainder were performed on assemblies with unusual or abnormal features. Unusual features include downflow, natural circulation, heavy water coolant, converging rods, and horizontal arrangement of the assembly. Features which are designated abnormal are those simulating possible defects in normal assemblies and include a bowed rod, two rods touching, reduced clearance between a rod and the duct wall, eccentric arrangement of the rod bundle in the duct, misalignment of rods in a segmented bundle, partial blockage of a coolant flow channel, and a deposit of crud on the rods. The total number of tests having unusual or abnormal features is shown in Table 6A and the numbers associated with each feature are given in Table 6B. Unusual and abnormal features are indicated in the compilation and the user may optionally include the associated data in a particular application. 6. DISTRIBUTIONS OF THE TESTS OVER THE RANGES OF PRINCIPAL VARIABLES The manner in which the compiled data are distributed over the ranges of the principal variables, each considered in isolation from the others, is 12 shown by a series of histograms in Figures 1 to 20. These figures show at a glance the range and disposition of the data with respect to single variables; however, the information they provide, although very useful, is of limited value because no single variable has a dominating influence on burnout and, to determine the relevance of the data to particular situations, it is necessary to consider the distributions of several variables simultaneously. This has been done for two and four variables; some multi-variable joint distributions of the data are shown in Tables 7 to 31. There is no difficulty in using these tables to determine the density of the data distribution in various regions of the multi-variable field but, as displays of the overall character of the distribution, they lack the simple clarity of histograms and require an effort of visualisation that increases with the number of variables. Some remarks about salient features of the data distribution are given in Section 6.1. 6.1 Distributions with Respect to Single Variables Figures 1 to 5 are histograms showing the distribution of tests over the ranges of principal coolant conditions and Figures 16 to 20 show distributions over the ranges of variables tha/t are dependent on coolant conditions. Because of the nature of the variables, these distributions tend to be continuous although, for reasons which will be explained, this is hardly so in the cases of pressure and mass flux. In contrast, the distributions of tests over the ranges of quantifiable characteristics of the test assembly (Figures 6 to 15) are highly discontinuous. This is due to the fixed nature of the variable within each assembly and the relatively small number of different assemblies (321). In all of the figures, whatever characteristic is shown, frequencies of occurrence are based on the number of tests (never the number of assemblies) associated with each interval of the variable. 6.1.1 Pressure Figure 1 shows the distribution of tests over the range of system pressure. In some tests, the system pressure was measured at the test section inlet, in others at the outlet; reports often fail to indicate clearly where the measurement was made. In the absence of an indication, it has been assumed that the pressure was measured at the test section outlet, which is the normal position of burnout in an assembly with uniform axial distribution of heat flux. The stated or assumed location of the point at which the system pressure was measured is indicated in the data compilation but, because the 13 pressure drop in the test assembly was recorded in only a small proportion of the tests (about 20 per cent), it is not possible to express the system pressure at a common location. Unavoidably, therefore, inlet and outlet pressures have been used without discrimination when determining the distribution of tests over the range of system pressure. Whenever it could be ascertained, the pressure at the test section outlet has been used., because this was where the measurement was made in most of the low pressure tests; it is in these tests that the difference between inlet and outlet pressure is most significant. System absolute pressures range in the compilation from 0.04 HPa (sub- atmospheric) to 17.0 MPa. Tests at the lowest pressure were performed at ORNL on a 7-rod bundle, 0.295 m in length (denoted in Tables 2A and 2B as assembly number 181). Tests at the highest pressure were carried out at Columbia on assembly number 244, a 16-rod bundle, 2.44 m in length, with a non-uniform axial distribution of heat flux skewed towards the outlet. It has been the usual practice, in those burnout experiments in which pressure was varied systematically, to choose values which are multiples of either 100 psia or 1 MPa. Figure 1 distinctly shows the concentrations of tests at these standard pressures, which include the more common design pressures for water-cooled power reactors. The dominant peak between 6.8 and 7.0 MPa (nominally 1000 psia, a notional design pressure for boiling water reactors) represents 22 per cent of the tests included in the compilation and reflects a general tendency for a common pressure to be adopted in many early rod bundle experiments. 6.1.2 Mass flux Coolant mass fluxes range in the compilation from 1.27 to 155712 1 ? g s cm c; however, the mass flux exceeds 600 g s cm in only 2.4 per cent of the tests. Tests at the lowest mass flux were carried but on assembly number 181, as were those at the lowest pressure (see Section 6.1.1). The highest mass flux associated with a multi-rod bundle is 680.8 g s cm ; it was attained in a test performed at Hanford on assembly number 134, a horizontal 19-rod wire-wrapped bundle 0.495 m in length. All higher values of mass flux occur in annular assemblies; the highest was attained in tests performed at SRL on assembly number A12 with heavy water flowing at a velocity of 14.5 m s"1. Systematic variation of mass flux has been common in burnout experiments but, as with pressure variation, the usual practice has been to adhere to 14 standard intervals; Figure 2 shows distinct concentrations of tests at values612 of mass flux which are multiples of 0.5 x 10 Ib h ft . Under normal operating conditions in water-cooled power reactors, the mass flux of the1 -2 coolant in the fuel elements usually exceeds 300 g s cm , but it requires a large test facility to conduct burnout experiments on multi-rod bundles at such values of mass flux. The large test rigs which have come into use in more recent times are used mainly in the development of commercial designs of reactor fuel elements and the results have been disclosed less often than those of tests of a less specific nature performed with lower mass flux in smaller rigs. The effect of the greater availability of data in the lower ranges of mass flux is clearly seen in Figure 2; although there is a useful1 2 representation (10 per cent) of mass fluxes between 280 and 500 g s cm , a substantial proportion (88 per cent) of the tests were performed with mass fluxes less than 280 g s cm. 6.1.3 Inlet quality Coolant qualities at channel inlet range from -1.08 to 0.895; Figure 3 shows the distribution of tests over this range. Negative quality is used to indicate subcooled conditions and also to express the degree of subcooling. Tests with the highest degree of inlet subcooling were performed at Bettis on bundles of 20 triangularly pitched rods (assemblies 160, 162, 164 and 166) in support of the LWBR program. The inlet pressure and temperature conditions were 13.8 MPa, 93?C (2000 psia, 200?F). Tests with the highest quality of mixture at inlet were performed at APED on a 2-rod assembly (assembly 145) in support of the United States Atomic Energy Commission's Superheat Development Program. Concentrations of tests are evident at frequently chosen inlet conditions, particularly at qualities -0.64 (2000 psia, 400?F), -0.40 (2000 psia, 500?F), and -0.14 (which includes the 1200 psia, 500?F condition). The -0.10 to -0.02 quality band which covers the design inlet conditions of most boiling water reactors, contains 28 per cent of the tests included in the compilation, and the -0.2 to -0.1 quality band contains 30 per cent. The -0.40 to -0.30 quality band, which covers the most common design inlet conditions of pressurised water reactors, contains 8 per cent of the tests. Only 9 per cent of the tests were performed with positive quality inlet conditions; Figure 3 shows very clearly the abrupt change in the distribution of tests near the saturated inlet condition. 15 6.1.4 Quality at burnout Coolant bulk qualities at burnout range from -0.484 to 0.999; Figure 4 shows the distribution of tests over this range. The burnout quality is theoretical; it is the average quality of the coolant at the flow cross- section which contains the burnout point and it is calculated from the inlet condition of the coolant and the heat input up to the burnout section. When the heat flux distribution is non-uniform, burnout may be detected at a number of points simultaneously; in this case, the cross-section containing the burnout point with the lowest local heat flux is regarded as the burnout section. The quality depends, of course, upon the pressure at the relevant cross-section, but only when burnout occurs at the channel exit can the pressure at the burnout section be measured in a test. For this report, burnout quality has been calculated at the system pressure which, in most (but not all) cases, is the channel outlet pressure, regardless of the actual position in the channel of the burnout section. The tests which yielded the lowest burnout quality (or highest burnout subcooling) were among those performed at Bettis on 20-rod bundles with the lowest inlet quality; this burnout quality was closely approached, however, in tests at SORIN on a 9-rod bundle (assembly 96) with higher inlet quality and lower mass flux, but considerably smaller ratio of length to heated equivalent diameter. The highest burnout qualities are not associated with positive quality inlet conditions. All of the burnout qualities higher than 0.910 in the compiled data occur with sub-cooled inlet conditions and low mass flux; the highest was reached in a CISE (Piacenza) program of tests on a very long (6 m) 19-rod bundle (assembly 194). The most frequent burnout qualities lie in a band between 0.20 and 0.31. About 20 per cent of the tests are contained in this band, which is approximately that in which burnout would occur in a boiling water reactor core as a result of a rise in fission power or a reduction in coolant flow rate. 6.1.5 Burnout heat flux yLocal burnout heat fluxes range from 2.4 to 2220 W cm, but in only 0.5 per cent of the tests does the burnout heat flux exceed 1200 W cm"2. Figure 5 shows the distribution of tests over the significant part of the range. Here, the term 'burnout heat flux' denotes the local value of the heat flux at the 16 point at which burnout was first detected. If it is inferred from the test records that burnout occurred at a number of points simultaneously, the compiled data enable the local heat flux at any of the detected initial burnout points to be determined but, for the present purpose, the lowest value is regarded as the burnout heat flux. Both extremes of burnout heat flux occur in annular assemblies. The lowest values come from tests at CRNL on short, internally heated annuli (assemblies A18, A19) with a half-cosine, inlet peaked axial distribution of heat flux and positive inlet quality. These very low burnout heat fluxes occurred at the downstream end of an extensive burnout region. The lowest heat flux at an isolated (or point) indication of burnout is 6.4 W cm" ; it occurred at the outlet end of a long, uniformly-heated annulus (assembly A21) tested at CISE (Piacenza) with positive inlet quality. The highest burnout heat fluxes are associated with subcooled burnout at very high mass flux in annular assemblies (assemblies A8 to A17) which were tested at SRL and Columbia; all had downflow and some had heavy water coolant. Burnout heat fluxes in non-annular assemblies are in the range 6.8 to 884 W cnT^. The lowest occurred in tests at CISE (Piacenza) on a 19-rod bundle of length 6 m (assembly 194) with subcooled inlet conditions and low mass flux; these were also the tests that yielded the highest burnout quality. The highest burnout heat flux in a non-annular assembly occurred in tests at KEI or, a single rod in a simulated concentric array (assembly 222). The highest burnout heat flux in any of the multi-rod assemblies is 698 W cm" , which was attained in further tests at KEI on a short 3-rod bundle (assembly 251). Burnout heat flux was a dependent variable in the great majority of tests (94 per cent); the histogram shows an asymmetrical distribution typical of a random variable bounded at one extreme but not at the other. The effect of constant heat flux tests (notably those performed on 3-rod and 7-rod bundles at ABA) is, however, clearly discernible in concentrations of tests at9 2 100 W cm and, to a lesser degree, at other intervals of 25 W cm between 75?) and 200 W cm . The most frequent burnout heat fluxes lie in the range 70 to 125 W cm , a band lower than that in which burnout would be expected in water-cooled power reactor cores as a result of power increase or flow reduction. This characteristic of the compiled data is largely due to the abundance of tests with low mass flux which, with the same inlet condition, tends to produce burnout at higher quality and lower heat flux. The influence of the low mass flux data would have been more pronounced but for the opposing 17 influence of another characteristic, namely the presence of a large number of tests performed on assemblies having a ratio of length to heated equivalent diameter less thun that typical of power reactor fuel elements. This characteristic will be discussed in Section 6.1.10. 6.1.6 Number of rods Figure 6 shows that the number of rods represented varies from one to thirty-seven, prominence being shared by the single rod of annular assemblies, the nine rods of the most common square array, and the seven, nineteen and thirty-seven rods of circular pitch arrays. It can be seen that single-rod assemblies are not disproportionately represented and, therefore, that the admission of tests performed on annular assemblies has been restricted to a suitable level. Forty-five per cent of the tests included in the compilation were performed on assemblies of 12 or more rods. The 37-rod assemblies and some of the 19-rod assenblies are the only ones simulating entire reactor fuel element assemblies. Many of the others represent regions of various extent in reactor fuel elements, whereas some are special experimental arrangements used in investigations of the effect of certain geometric characteristics on burnout. 6.1.7 Rod diameter The rod diameter in multi-rod bundles varies from 5 mm, found in some 3- rod and 7-rod bundles, to 20 mm in the 19-rod bundles built to simulate the fuel elements of natural uranium-fuel led reactors. Figure 7 shows the distribution of tests over this range, but not the rod diameters of 25.4 and 54 mm found in a small number of tests on two annular assemblies. There has been little attempt in burnout experiments to vary rod diameter systematically and investigations have generally been confined to specific rod diameters used in particular reactor designs. There is, however, enough variety in these to provide a spread of diameters in the range 5 to 20 mm. The inclusion in the compilation of a substantial amount of data made available to the authors by the United Kingdom Atomic Energy Authority (UKAEA) is the cause of a prominent concentration of tests at 16 mm (0.625 inch), the fuel rod diameter used in the SGHWR. Other prominent concentrations occur at standard commercial tube sizes and at 10.7 mm (0.422 inch) and 14.3 mm (0.5625 inch), the rod diameters generally associated, respectively, with pressurised and boiling water reactors. 18 6.1.8 Rod spacing Rod spacing (expressed here as a ratio of rod pitch to rod diameter) is a characteristic which, unlike rod diameter, has often been varied in experiments to determine its effect on burnout. One such experiment, conducted at KEI on a series of 3-rod bundles (assemblies 249 to 264), provided data for the closest rod spacing with an average rod pitch/diameter ratio of 1.01, the rods being nominally in contact along their entire length. Data for the widest rod spacings, with rod pitch/diameter ratios ranging from 1.83 to 2.22, were provided by experiments conducted at ABA and ASEA on 6-, 7-, 9- and 37-rod bundles as part of the Marviken BHWR research program. Figure 8 shows the distribution of tests over the range of rod spacing. A large proportion of the tests were performed on assemblies with the rod arrrangements of established reactor designs; the most frequent values of rod pitch/diameter ratio are those associated with light water-moderated, pressurised and boiling water reactors (1.31 to 1.33), the SGHWR (1.18 to 1.20), and the CIRENE heavy water-moderated, boiling water reactor (1.07 to 1.08). 6.1.9 Equivalent diameters and ratio of heated to wetted perimeter Figure 9 shows the distribution of tests over the range of hydraulic equivalent diameter and Figure 10 the distribution over the range of heated equivalent diameter. Figure 11 shows the distribution over the range of the ratio of the equivalent diameters which, more simply, is the ratio of heated to wetted perimeters. The range of hydraulic equivalent diameter extends from 2 mm occurring in tests carried out at Columbia on a bundle of 12 wire-wrapped rods arranged on a close triangular pitch in a close-fitting duct (assembly 7) to 39.5 mm in a 7-rod bundle (assembly 111) tested at ABA. Only 8 per cent of the tests were performed on assemblies having a hydraulic equivalent diameter greater than 13.8 mm and virtually all of these were in support of BHWR programs> In these experiments, a considerable variation of hydraulic equivalent diamc'? was achieved by changing the dimensions of the ducts surrounding the rod bunuies. Prominent concentrations of tests at 7.6 and 10.8 mm indicate the constancy of hydraulic equivalent diameter maintained in tests supporting the CIRENE and SGHWR programs respectively. 19 In the coolant flow channels of reactor fuel elements, the ratio of heated to wetted perimeter is generally high, being about 0.8 in pressure tube reactors and even higher in pressure vessel reactors. Burnout test assemblies simulating entire fuel elements, such as the 37-rod and many of the 19-rod bundles, naturally reproduce this ratio exactly, but assemblies of fewer rods than the fuel element they represent cannot provide realistic ratios unless the enclosing duct is heated. In a few test assemblies, the rods were surrounded by heated rod segments which provided ratios of from 0.7 to 0.84, but such complex test apparatus has usually been avoided and most of the heated duct arrangements included in the compilation consist of three rods surrounded by a fully-heated circular duct. The majority of the test assemblies had unheated ducts and the range of heated to wetted perimeter ratios found in the compilation extends to quite low values that are not typical of reactor fuel elements. The lowest value (0.135) comes from tests performed at MAN on a 4-rod assembly with only one rod heated (assembly 149). The highest value in assemblies with some unheated surfaces is 0.834 and comes from tests performed at ORNL on 7-rod bundles with heated surroundvng segments (assemblies 184, 188 to 193). Thirty-two per cent of the tests in the compilation are in the range 0.73 to 0.834, which might be considered typical of reactor fuel elements. This range also contains the most frequent values provided by tests on full simulations of the CIRENE and SGHWR pressure-tube reactor fuel elements. Heated equivalent diameter can be obtained by dividing the hydraulic equivalent diameter by the ratio of heated to wetted perimeter. The distribution of tests over the range of heated equivalent diameter shown in Figure 10 is thus a modified form of the distribution shown in Figure 9. Fuel elements of the Marviken heavy water reactor have a heated equivalent diameter of 36.6 mm and values greater than this cannot be regarded as typical of reactor fuel elements. The lowest and highest values in the compiled data are 2.75 and 85.4 mm; these belong to the assemblies with the smallest and largest hydraulic equivalent diameters (assemblies 7 and 111). The CIRENE and SGHUR programs of tests on full simulations of reactor fuel elements, being highly consistent in both hydraulic equivalent diameter and heated to wetted perimeter ratio, provided the most frequent values of heated equivalent diameter at 9.7 and 13.5 mm. 20 6.1.10 Channel length, boiling length, and ratio of length to heated equivalent diameter Figure 14 shows the distribution of tests over the range of heated length of rod, which extends from 100 mm for 1- and 3-rod assemblies tested at KEI (assemblies 224, 258) to 8230 mm for a single, uninterrupted heater rod used in a photographic study of transition boiling at APED (assembly 281). The longest multi-rod assembly included in the compilation is a 6 m, 19-rod bundle (assembly 194) tested at CISE (Piacenza) to provide information about the effect of boiling length on burnout in reactor power channels. Various channel lengths from 300 mm (11.5 inches) to 4600 mm (18 ft) are fairly evenly represented but by far the most frequent lengths are 3658 mm (12 ft) and 1829 mm (6 ft), the former because it is the most common length for the active region of power reactor fuel elements and the latter because many test rigs have had insufficient power to produce burnout at typical reactor flow conditions in multi-rod bundles of greater length. More significant than channel length is the ratio of channel length to heated equivalent diameter, a measure of overall similarity in assemblies of different sizes. It is proportional to the ratio of heated surface area to coolant flow area and, therefore, determines the relation between average heat flux, coolant mass flux, and coolant enthalpy rise in channels of any size. The distribution of tests over the range of this variable is shown in Figure 15. The range extends from 2.3 to 766.5, the least value occurring in a short (100 mm) assembly with a single heated rod tested at KEI (assembly 224) and the greatest in a 3.29 m long annular channel (assembly A21) tested at CISE (Piacenza). The greatest ratio of length to heated equivalent diameter in a multi-rod bundle is 721.0 which occurs in two bundles of 20 closely-spaced rods, 2.39 m in length, used in tests at Bettis (assemblies 164, 166). In the fuel elements of nuclear power reactors, the ratio of active length to heated equivalent diameter usually exceeds 200, but two-thirds of the tests were performed on assemblies in which this ratio was less than 200. It is more appropriate, however, to look at boiling length, rather than heated length, when considering the similarity of conditions at the burnout section in assemblies of different sizes, because the ratio of boiling length to heated equivalent diameter determines the relation between the average heat flux in the boiling region, the coolant mass flux, and the coolant bulk quality at the burnout section. Figure 16 shows the distribution of tests over the range of boiling length and Figure 17 the distribution over the range 21 of the ratio of boiling length to heated equivalent diameter. Boiling length is dependent on coolant conditions; it is considered here to have a value only when the coolant is subcooled or saturated at the channel inlet and burnout occurs in bulk boiling conditions. Valid boiling lengths can be calculated for 78 per cent of the tests. The range of boiling length extends from almost zero which occurs in many assemblies to 6830 mm in the assembly with the greatest heated length (assembly 281). The greatest boiling length in any of the multi-rod assemblies is 5817 mm and occurs in the longest rod bundle (assembly 194). The conspicuous concentration of tests in the narrow band of boiling length 250 to 300 mm is due to a large number of tests performed at ORNL on assemblies 181, 184 and 188 to 193, which had boiling conditions over almost their entire length of 295 mm. The ratio of boiling length to heated equivalent diameter extends to 756.7 in the annular channels and 624.4 in the multi-rod bundles. In this compilation the greatest ratios do not occur in the channels with longest boiling length, but in those having the greatest ratio of heated length to heated equivalent diameter (assemblies A21 and 166). In 56 r cent of the tests which have a valid boiling length, the ratio of boili ?ength to heated equivalent diameter is in the range 50 to 250; this is roughly the range of the ratio at the burnout power level for normal flow conditions in the fuel elements of water-cooled nuclear power reactors. 6.1.11 Distribution of heat flux Only two characteristics of the heat flux distribution are considered here; these are the transverse and axial form factors. The form factors are defined as the ratio of the maximum to the mean heat flux, in the first case over the heated perimeter of the flow channel and in the second, over the heated length. Figures 12 and 13 show, respectively, the distributions of tests over the ranges of the transverse and axial form factors in assemblies with non-uniform distributions of heat flux. In nearly all of the test assemblies providing data for this compilation, any axial variation of the heat flux applies in a strictly similar manner to all heated surfaces and therefore, in all tests on one assembly, both form factors are constant. In the few cases in which the form factors vary (the axial form factor from rod to rod and the transverse form factor from section to section), mean values have been inserted in Table 2A and used in Figures 12 and 13. The mean transverse form factor is defined as that which would exist 22 if the duct and each rod were heated uniformly at their axially-averaged heai flux; it is the ratio of the highest average heat flux on any rod (or duct) to the average heat flux over the entire heated surface. The mean axial form factor is defined as that which would exist if the heated perimeter at each flow cross-section were heated uniformly at the transversely-averaged heat flux and the peak heat fluxes on all rods were in the same cross-section; thus, this factor is the ratio of the rod and duct peak heat fluxes averaged over the heated perimeter to the average heat flux over the entire heated surface. It should be noted that, whereas the product of constant transverse and axial form factors is the channel peaking factor, the product of mean form factors is meaningless. The range of transverse form factor extends from values close to 1.0, which occur mainly in assemblies with marginally different heat fluxes on the rods and duct, to 3.36 in a test at KEI on a single-rod assembly (assembly 221), in which a part of the duct was heated at a low heat flux. Most of the other large values of transverse form factor occurred in tests in which one or more rods (or the duct) were heated at constant flux levels, while that on the remaining rods was raised until burnout was detected. In this type of experiment, the heat flux transverse form factor depends on the burnout heat flux and varies from test to test on the same assembly. In such cases, Table 2A gives the average value of transverse form factor for all tests performed on the assembly. The greatest systematic variation of heat flux across a rod bundle, from 0.5 to 1.5 times the mean value, occurs in triangular pitch arrays of 20 rods (assemblies 160, 162, 164, 265 to 268, 272, 273) which were tested at Bettis as part of the LWBR development program. Data from tests on full simulations of SGHWR fuel elements contribute to the high frequencies of occurrence of the values 1.02 and 1.22. In the great majority (99.4 per cent) of the tests with axi ally non- uniform heating included in the compilation, the axial form factors range between 1.16 and 1.86. These extreme values occur in assemblies having asymmetric axial heat flux profiles with their peaks located in the downstream half of the channel, the lower in a 9-rod bundle, 1.83 m in length (assembly 113) tested at ARC, the higher in a series of 16-rod bundles, 2.44 m in length (assemblies 241 to 246), tested at Columbia. A small number of tests are included in which the heat flux axial form factor exceeds 1.86, the greatest value being 3.14. All of these large values occur in tests with heat flux distributions containing 'spikes' or 'hot patches'. The most frequent form factor in the non-uniform axial distributions of heat flux is 1.4; this is 23 often considered to be typical of the axial heat flux distribution in water- cooled power reactors. 6.1.12 Boiling number, Weber number and Froude number Non-dimensional compound variables can be useful indicators of similarity in particular aspects of test conditions. Figures 18 to 20 show the distributions of tests over the ranges of boiling number, Weber number and Froude number. Boiling number, which expresses the ratio of mass flux of vapour away from the surface to the mass flux of fluid parallel to the surface, extends -3 -3over the range 0.019 x 10 to 17.19 x 10 ; the lowest value occurs in a 3.29 m long annular channel (assembly A21) tested at CISE (Piacenza) and the greatest in a 0.2 m long single-rod assembly simulating the central rod in a circular pitch array (assembly 222) tested at KEI. Weber number expresses the ratio of fluid inertial force to surface tension force. When evaluated at the burnout cross-section, it extends over the range 16.4 to 178 300; the lowest value occurs in a 7-rod bundle (assembly 181) tested at low pressure and low mass flux at ORNL and the highest in a 9-rod bundle (assembly 247) tested at high pressure and high mass flux at Columbia. Froude number expresses the ratio of fluid inertial force to gravitational force. A factor which has sometimes been found useful in correlating burnout data is the liquid Froude number which, in the compiled data, extends over the range 0.004 to 3036; the lowest value occurs in the 7- rod bundle (assembly 181) tested at low mass flux and the highest in a 12-rod bundle with a very small equivalent diameter (assembly 7) tested at fairly high mass flux at Columbia. 6.2 Distribution of Tests Over the Ranges of Two or More Variables Considered Simultaneously The histograms that have been described in Section 6.1 have shown how the tests included in the compilation are distributed over the ranges of single variables; each variable was considered separately and without regard for the concurrent values of other variables. The term 'single variable' includes simple variables, like pressure and mass flux, and compound variables (which 24 are fixed combinations of simple variables) like the non-dimensional groups. However, to assess the relevance of the test data to any nominated set of conditions, it is essential to know how different variables are associated by value in the data; in this section, two or more variables, either simple or compound, are considered simultaneously and independently. The full range of each variable is divided into a number of intervals and the test condition field is thereby divided into regions, each region being defined by a different combination of intervals of the variables. In the case of two variables, the distribution of tests can be displayed as a simple table of the number of tests occurring in each region, the columns corresponding to intervals of one variable and the rows to intervals of the other. Tables 7 to 26 are displays of this kind. When four variables are considered, the display becomes a two-dimensional array, the elements of which are also two- dimensional arrays. The columns and rows of the main array correspond to intervals of two of the variables and the columns and rows of each inner array to intervals of the other two variables. Tables 27 to 31 are displays of this kind. Tables 7 to 17 each show a distribution of tests among regions defined by a different pair of variables. The range of each variable has been divided into equal intervals. This method of dividing the ranges superimposes the separate distributions of the variables and, since these are very irregular in most cases, it produces many regions containing small numbers of tests (or none at all) and some containing large numbers of tests. When the purpose is to reveal the disposition of data in the compilation, regions containing no tests are as significant as those containing many and equal division of the variable ranges is preferable. Tables 7 to 17 show clearly the regions in which data are concentrated and those in which they are sparse. They also reveal many special characteristics of the data distribution: for example, the limited pressure range of tests with very high mass flux or very high local burnout heat flux (Tables 7,8) and the differing mass flux and burnout heat flux ranges associated with subcooled and quality burnout (Tables 10,17). When, however, the purpose is to show how the distribution of tests over the range of one variable changes with the value of another, all intervals should have the same weight and therefore should contain the same number of tests. Tables 18 to 26 each show a distribution of tests among regions defined by a different pair of variables, the range of each variable being divided as nearly as possible into intervals containing equal numbers of 25 tests. This method of dividing the ranges suppresses display of the separate distributions of each variable and allows the relative distribution to be seen. The same number of tests in every region would not necessarily indicate a uniform distribution of tests over the range of each variable, but rather a uniform association of the variables throughout the tests. Variations in the numbers of tests from region to region indicate a changing association of the variables; for instance, Table 18 indicates that although very low pressures are mainly associated with either very low or very high mass fluxes, medium pressures are mainly associated with medium mass fluxes and high pressures with high (but not low) mass fluxes. When four variables are considered simultaneously, division of their ranges into many intervals produces a distribution table that is inconveniently large. From five to eight intervals, as used in Tables 27 to 31, is a practical choice. As the number of intervals is reduced, the empty columns or rows that are characteristic of equal range intervals become less tolerable; therefore, in all of the tables for four variables given here, intervals containing similar numbers of tests have been chosen. Tables 27 to 29 show distributions of tests among regions defined by intervals of heated equivalent diameter, pressure, mass flux, and one other variable, which may be inlet quality, bulk quality at burnout, or average surface heat flux at burnout. Table 30 shows the distribution in relation to four non-dimensional variables, namely the boiling, Weber and Froude numbers, and the bulk quality at burnout. A distribution of tests in relation to four geometric variables (number of rods, rod diameter, ratio of rod pitch to diameter, and ratio of length to heated equivalent diameter) is shown in Table 31. 7. GENERAL DISCUSSION It has been pointed out (in Sections 1 and 6.1.6) that the results of burnout experiments on large rod bundle assemblies are seldom published, because they might reveal proprietary information about commercial design of fuel elements. On the other hand, the results of investigations carried out with smaller assemblies into more general aspects of burnout are very often published. It is therefore a feature of data compilations derived from published information that they contain a significant amount of data relating to small-scale experiments which do not reproduce simultaneously all of the characteristics and operating conditions of a reactor fuel element. In the compilation described here, this situation is partly relieved by the inclusion 26 of confidential data made available to the authors by the UKAEA. Nevertheless, a large part of the data derives from small-scale experiments with bundles of nine rods or less. One effect of the small-scale test component is that although the ranges of important variables encompass typical reactor conditions, distributions of the tests over the ranges are often not centred upon these typical conditions. Particular examples of this are the distributions with respect to mass flux, burnout heat flux, and ratio of heated length to heated equivalent diameter, all of which have been discussed (see Sections 6.1.2, 6.1.5 and 6.1.10). The inherent characteristics of the BACE compilation as a single body of data are not of great importance, however, because it should be regarded, not as an indivisible body, but as a pool from which suitable data may be selected for particular purposes. A substantial amount of data is included for larger scale tests on bundles of from 16 to 37 rods at conditions close to those of normal reactor operation. Small-scale tests, however, contribute most of the data for burnout at high mass flux, high heat flux, high inlet quality, and close rod spacing. The ranges of the principal variables are extensive and, considered separately, embrace most of the conditions likely to occur in the normal operating and possible emergency states of water-cooled nuclear power reactors. Considered simultaneously, the ranges of the many variables define a vast field of conditions which is not fully represented in the compilation; areas in the vicinity of reactor operating conditions are well populated with tests, but fringe areas are thinly and irregularly populated. Generally, tests which extend the range of a variable beyond the limits of normal reactor operation do so within very narrow bands of other variables. This means that if burnout data for extreme values of a variable are sought from the compilation, there is little choice of the concurrent values of other variables. 8. CONCLUSIONS (a) The distributions of burnout tests over the ranges of important variables considered singly, or simultaneously in pairs or sets of four, are presented in sufficient detail as histograms and tables to enable a prospective user to determine the relevance of the data to any conditions of particular interest. 27 (b) The distribution tables, especially those for four variables, indicate very clearly the dispersion of data due to the number of variables involved and the small ness of the sample that can result from the placing of close limits on more than one variable. The adequacy of the present compilation to provide significant samples of data varies considerably with the location and delimitation of the area of interest. If, however, the number and range of governing variables are chosen with discretion, the compilation provides an effective data base for operations such as: (i) surveys of parametric effects on burnout conditions, (ii) tests of the accuracy of burnout prediction formulas, and (iii) optimisation of the empirical coefficients in burnout formulas. (c) The possible ranges of the many important variables define a vast condition field; it is evident from the sparse and irregular distribution of burnout tests over the greater part of this field that the present compilation, despite the number of tests, is not completely adequate and that its usefulness can be increased by the addition of more data, especially in the fringe areas of the condition field. 9. ACKNOWLEDGEMENTS The authors gratefully acknowledge the valued assistance of Mr N.D. Hargreaves and Mr D. Paton, who shared in the onerous tasks of collecting and processing the data, and the helpful advice and encouragement of Dr K.R. Lawther, under whose general direction the work was carried out. 28 10. REFERENCES 10.1 General Barnett, P.G. [1966] - A correlation of burnout data for uniformly heated annuli and its use for predicting burnout in uniformly heated rod bundles. AEEW-R463. Barnett, P.G. [19683 - A comparison of the accuracy of some correlations for burnout in annuli and rod bundles. AEEW-R558. Hughes, E.D. [1970a] - An examination of rod bundle critical heat flux data and correlations and their applicability to loss-of-coolant accident analyses. IN-1319. Hughes, E.D. [1970b] - A correlation of rod bundle critical heat flux for water in the pressure range 150 to 725 psia. IN-1412. Hughes, E.D., Ka-Lam Ip , Baker, A.N. and Carbon, M.W. [1974] - A compilation of rod array critical heat flux data sources and information. Nucl. Eng. Des., 30:20-35. Lintner, M.A. [1970] - ERREST, a program to edit data, perform error calculations, and do nonlinear least square parameter estimations. Idaho Nuclear Corp. report, distributed by the Argonne Code Center. Macbeth, R.V. [1964] - Burnout analysis Part 5: examination of published world data for rod bundles. AEEW-R358* Mironov, Yu. V., Razina, N.S., Smolin, V.N. and Shpanskii, S.V. [1978] - Pool of experimental data on critical heat flux with water boiling in rod assemblies. Teploenergetika, 25(9)65-67. long, US., Currin, H.B. and Engel, F.C. [1964] - DNB (burnout) studies in an open lattice core. Vol. II, WCAP-3736. long, L.S. [1969] - Critical heat fluxes in rod bundles. Proc. ASME Symp. on Two-Phase Flow and Heat Transfer in Red Bundles, Los Angeles, November, pp.31-46. 29 Tong, L.S. [1972] - Boiling crisis and critical heat flux. TID-25887. 10.2 Sources of Published Data [1] Janssen, E. and Kervinen, J.A. [1963] - Burnout conditions for single rod in annular geometry, water at 600 to 1400 psia. GEAP- 3899. [2] Hench, J.E. [1963] - Multirod (four-rod) critical heat flux at 1000 psia. GEAP-4358. [3] Matzner, B. [1961] - Basic experimental studies on boiling fluid flow and hc-dt transfer at elevated pressures. Monthly Progress Report for November 1961. TID-14439. [4] Matzner, B. [1963] - Basic experimental studies of boiling fluid flow and heat transfer at elevated pressures. Monthly Progress Report for February 1963. TID-18296. [5] Matzner, B. [1961] - Basic experimental studies on boiling fluid flow and heat transfer at elevated pressures. Monthly Progress Report for May 1961. TID-12574. [6] Matzner, B. [1961] - Basic experimental studies on boiling fluid flow and heat transfer at elevated pressures. Monthly Progress Report for July 1961. TID-13711. [7] Matzner, B. [1963] - Heat transfer and hydraulic studies for SNAP-4 fuel element geometries. Topical Report No.2. TID-19563. [8] Macbeth, R.V. [1964] - Burnout analysis Part 5: examination of published world data for rod bundles. AEEW-R358. [9] Edwards, P.A. [1976] - An experimental study of burnout and pressure drop in 19-rod clusters. AEEW-R371. (Reprint). [10] Excluded from this report. [11] Janssen, E. [1968] - Nine-rod critical heat flux investigation, steam-water at 600 to 1400 psia. Final Summary Report. GEAP-5616. 30 [12] Becker, K.M., Hernborg, G., Bode, M. and Eriksson, 0. [1965] - Burnout data for flow of boiling water in vertical round ducts, annuli and rod clusters. AE-177. [13] Becker, K.M. [1967] - A burnout correlation for flow of boiling water in vertical rod bundles. AE-276. [14] Nylund, 0., Becker, K.M., Eklund, R., Gelius, 0., Haga, I., Hansson> P.T., Hernborg, G. and Akerhielm, F. [1967] - Measurements of hydrodynamic characteristics, instability thresholds, and burnout limits for 6-rod clusters in natural and forced convection. ASEA and AB Atomenergi Report FRIGG-1. [15] Nylund, 0., Becker, K.M., Eklund, R., Gelius, 0., Hernborg, G., Rouhani, Z. and Akerhielm, F. [1968] - Hydrodynamic and heat transfer measurements on a full-scale simulated 36-rod Marviken fuel element with uniform heat flux distribution. ASEA and AB Atomenergi Report FRIGG-2. [16] Becker, K.M. [1967] - Measurements and predictions of burnout conditions in rod bundles. AES-366. [17] Matzner, B. and Casterline, J.E. [1965] - The effect of length and pressure on the critical heat flux for a closely spaced 19-rod bundle in forced convection boiling. TID-22539. [18] Hesson, G.M., Fitzsimmons, D.E. and Batch, J.M. [1965] Experimental boiling burnout heat fluxes with an electrically heated 19-rod bundle test section. BNWL-206. [19] Kunsemiller, D.F. [1966] - Multirod, forced flow, transition and film boiling measurements. GEAP-5073. [20] Adorni, N., Gaspari, G.P., Germani, G., Peterlongo, G., Ravetta, R. and Zavattarelli, R. [1964] - Heat transfer crisis with steam-water mixtures in complex geometries. CISE R-123. [21] Adorni, N., Gaspari, G.P., Germani, F., Hassid, A., Ravetta, R. and Rubiera, L. [1966] - Heat transfer crisis and pressure drop with steam-water mixtures: Experimental data with seven rod bundles at 31 50 and 70 kg/cm2. CISE R-170. [22] Excluded from this report. [23] Excluded from this report. [24] Excluded from this report. [25] Campanile, A., Galimi, G. and Goffi, M. [1966] - Forced convection burnout and hydrodynamic instability experiments for water at high pressure. Part II. EUR-2963e. [26] Excluded from this report. [27] Polomik, E.E. and Quinn, E.P. [1962] - Multi-rod burnout at high pressure. GEAP-3940. [28] Matzner, 3. [1962] - Basic experimental studies on boiling fluid flow and heat transfer at elevated pressures. Monthly Progress Report for April 1962. TID-15637. [29] Nylund, 0., Becker, K.M., Eklund, R., Gelius, 0., Haga, I., Jensen, A., Malnes, D., Olsen, A., Rouhani, Z., Skaug, J. and Akerhielm, F. [1969] - Hydrodynamic and heat transfer measurements on a full-scale simulated 36-rod Marviken fuel element with non-uniform radial heat flux distribution. ASEA-ATOM Report FRIGG-3. [30] Nylund, 0., Becker, K.M., Eklund, R., Gelius, 0., Jensen, A., Malnes, D., Olsen, A., Rouhani, Z. and Akerhielm, F. [1970] - Hydrodynamic and heat transfer measurements on a full scale simulated 36-rod BHWR fuel element with non-uniform axial and radial heat flux distribution. ASEA-ATOM Report FRIGG-4. [31] Campanile, A., Galimi, G., Goffi, M. and Passavanti, G. [1970] - Forced convection burnout and hydrodynamic instability experiments for water at high pressure. Part VI. EUR-4468e. [32] Campanile, A., Galimi, G. and Goffi, M. [1968] - Forced convection burnout and hydrodynamic instability experiments for water at high pressure. Part IV. EUR-3881e. 32 [33] Campanile, A., Gallmi, G., Goffi, M. and Passavanti, G. [1970] - Forced convection burnout and hydrodynamic instability experiments for water at high pressure. Part VII. EUR-4514e. [34] Wilson, R.H., Stanek, L.J., Gellerstedt, J.S. and Lee, R.A. [1969] - Critical heat flux in a non-uniformly heated rod bundle. Proc. ASME Symp. on Two-Phase Flow and Heat Transfer in Rod Bundles, Los Angeles, November, pp.56-62. [35] Gellerstedt, J.S., Lee, R.A., Oberjohn, W.J., Wilson, R.H., and Stanek, L.J. [1969] - Correlation of critical heat flux in a bundle cooled by pressurised water. Proc. ASME Symp. on Two-Phase Flow and Heat Transfer in Rod Bundles, Los Angeles, November, pp.63-71. [36] Janssen, E., Schraub, F.A., Nixon, R.B., Matzner, B., and Casterline, J.E. [1969] - Sixteen-rod heat flux investigation, steam-water at 600 to 1250 psia. Proc. ASME Symp. on Two-Phase Flow and Heat Transfer in Rod Bundles, Los Angeles, November, pp.81-88. [37] Cermak, J.O., Farman, R.F., Tong, L.S., Casterline, J.E., Kokolis, S. and Matzner, B. [1969] - The departure from nucleate boiling in rod bundles during pressure blowdown. J. Heat Transfer (Trans. ASME), 92C(4)621-627. [38] Israel, S., Casterline, J.E. and Matzner, B. [1969] - Critical heat flux measurements in a 16-rod simulation of a BWR fuel assembly. J. Heat Transfer (Trans. ASME), 91C(3)355-363. [39] Janssen, E. [1971] - Two-phase flow and heat transfer in multirod geometries. Final Report. GEAP-10347. [40] Waters E.D., Hesson, G.M., Fitzsimmons, D.E. and Batch, J.M. [1963] - Boiling burnout experiments with 19-rod bundles in axial flow. HW-77303. [41] LeTourneau, B.W. and Green, S.J. [1971] - Critical heat flux and pressure drop tests with parallel upflow of high pressure water in bundles of twenty 1/2-in. rods. Nucl. Sci. Eng. 43(1)90-104. 33 [42] Hesson, G.M., Fitzsimmons, D.E. and Batch, J.M. [1964] - Boiling burnout experiments with fog-cooled nineteen-rod bundle test sections. HW-80523-REV1 [43] Hesson, G.M., Fitzsimmons, D.E. and Batch, J.M. [1964] - Comparison of boiling burnout data for 19-rod bundles in horizontal and vertical positions. HW-83443-REV1. [44] Batch, J.M. and Hesson, G.M. [1964] - Comparison of boiling burnout data for 19-rod bundle fuel elements spaced with 'wires' and 'warts'. HW-80391-REV1. [45] Lahey, R.T., Kong, Y.H., Radcliffe, D.W. and Kiernan, S.A. [1972] - Deficient cooling. Tenth Quarterly Progress Report. GEAP-10221-10. [46] Kervinen, J.A., Kong, Y.H., Radcliffe, D.W. and Clay, D.G. [1972] - Deficient cooling. 12th Quarterly Progress Report. GEAP-10221-12. [47] Towel 1, R.H. [1965] - Effect of spacing on heat transfer burnout in rod bundles. DP-1013. [48] Hench, J.E. [1964] - Transition and film boiling data at 600, 1000 and 1400 psia in forced convection heat transfer to water. GEAP- 4492. [49] Kastner, W. and Mayinger, F. [1970] - Burnout tests in connection with safety research. Final Report. Parts I and II. AEC-tr-7394. [50] Bowring, R.W. and Spigt, C.L. [1965] - Seven-rod bundle, natural - circulation, stability and burnout tests with water at up to 28 atmospheres pressure. Nucl. Sci. Eng., 22(1)1-13. [51] Becker, K.M., Flinta, J., Hernborg, G., Nylund, A., Nilsson, L. and Jensen, A. [1968] - Experimental studies of burnout conditions in vertical channels. AES-387. [52] LeTourneau, B.W., Gavin, M.E. and Green, S.J. [1974] ~ Critical heat flux and pressure drop tests with parallel upflow of high pressure water in bundles of twenty 3/4-in. rods. Nucl. Sci. ,Eng., 54(2)214-242. 34 [53] Smolin, V.N. and Polyakov, V.K. [1967] - Critical heat flux with longitudinal flow round a rod bundle. Teploenergetika, 14(4)54-58. [54] Gaspari, 6.P., Hassid, A., Ravetta, R. and Rubiera, L. [1968] - Heat transfer crisis and pressure drop with steam-water mixtures in a nineteen uniformly heated rod bundle. CISE R-264. [55] Gaspari, G.P., Ravetta, R., Rubiera, L. and Vanoli, G. [1970] - Heat transfer crisis and pressure drop measurements with steam-water mixtures in nineteen rod clusters. CISE R-294. [56] long, L.S., Chelemer, H., Casterline, J.E. and Matzner, B. [1967] - Critical heat flux (DNB) in square and triangular array rod bundles. Proc. JSME 1967 Semi-International Symp., Tokyo, September, pp.25- 34. [57] Evangelisti, R., Gaspari, G.P., Rubiera, L. and Vanoli, G. [1972] - Heat transfer crisis data with steam-water mixture in a sixteen-rod bundle. Int. J. Heat Mass Transfer, 15:387-402. [58] Nylund, 0. [1969] - Full-scale loop studies of BHWR and BWR fuel assemblies. ASEA (Allm. Sven. Elektr. A.B.) Res., 10:63-125. [59] Weisman, J., Wenzel, A.H., Tong, 1.3., Fitzsimmons, D.E., Thorne, W. and Batch, J.M. [1968] - Experimental determination of the departure from nucleate boiling in large rod bundles at high pressures. Chem. Eng. Prog. Symp. Series, 64(82)114-125. [60] Jones J.K. [1969] - An experimental study of the critical heat flux for low pressure boiling water in forced convection in a vertical seven heater rod bundle. ORNL-TM-2122. [61] Gaspari, G.P., Hassid, A., Ravetta, R. and Rubiera, L. [1968] - Heat transfer crisis and pressure drop with steam-water mixtures: Further experimental data with seven-rod bundles. CISE R-208. [62] Gaspari, G.P., Ravetta, R., Rubiera, L. and Vanoli, G. [1973] - Heat transfer crisis and pressure drop measurements with steam-water mixture in CIRENE 19-rod clusters (4 m long). CISE R-339. 35 [63] Ceresa, I., Gaspari, G.P., Lucchini, F. and Rubiera, L. [1973] - Heat transfer crisis and pressure drop measurements with steam-water mixtures in a 6-metre-long 19-rod cluster. CISE R-340. [64] Excluded from this report. [65] Marinelli, V., Gaspari, G.P., Greco, G. and Lucchini, F. [1975] - Dryout experiments in a 16-rod BWR geometry with six different radial heat flux distributions. ASME 75-HT-24. [66] Moeck, E.O., Garg, S.C., Wikhammer, G.A., Stern, F. and Dempster, R.T. [1966] - 'SWIFT' dryout data for a 19-rod, 3.25 inch diameter bundle cooled by steam-water fog at 515 psia. AECL-2586. [67] Marinkovitch, P.S. and Coeling, K.J. [1976] - Critical heat flux and pressure drop tests with high pressure water in a bundle of 0.571 and 0.526 in. dia. rods with a non-uniform radial and axial heat flux distribution. WAPD-TM-1162. [68] Peterson, A.C. and Green, S.J. [1975] - Critical heat flux and pressure drop tests with parallel upflow of high pressure water in bundles of twenty-nine 0.301 in. dia. rods with a non-uniform radial and axial heat flux distribution. WAPD-TM-1170. [69] Yates, 0., Galbraith, K. and Collingham, R. [1975] - DNB and post DNB heat transfer data in 25-rod bundles. XN-75-54. [70] Green, S.J., Maurer, G.W. and Weiss, A. [1962] - Burnout and pressure-drop studies for forced-convection flow of water parallel to rod bundles. ASME 62-HT-43. [71] Bezrukov, Yu. A., Astakhov, V.I., Brantov, V.G., Abramov, V.I., Testov, I.I., Logvinov, S.A. and Rassokhin, N.G. [1976] - Experimental investigation and statistical analysis of data on burnout in rod bundles for water-moderated water-cooled reactors. Teploenergetika, 23(2)80-82. [72] Yefimov, V.A., Marchenko, L.D. and Trutnev, D.P. [1969] - Study of the effect of rod bundles on boiling crisis. Heat Transfer-Sov. Res., 1(4)42-47. 36 [73] Yamazaki, Y., Iguchi, T., Niitsuma, Y. and Takano, K. [1975a] - Effect of the heated length on the burnout heat flux in the rod bundle test section. JAERI M-6030. [74] Yamazaki, Y., Iguchi, T., Niitsuma, Y. [1975b] - Burnout heat flux of narrow spaced rod bundles. Effect of flow rate and steam quality. JAERI M-6031. [75] Kunsemiller, D.F. [1965] - Transition boiling heat transfer program. Twelfth Quarterly Progress Report: (Task A-2 multirod tests). GEAP-5081. [76] Rosal, E.R., Cermak, J.O., Tong, L.S., Casterline, J.E., Kokolis, S. and Matzner, B. [1974] - High pressure rod bundle DNB data with axially non-uniform heat flux. Nucl. Eng. Des., 31:1-20. [77] Yefimov, V.A., Trutnev, D.P. and Marchenko, L.D. [1969] - " ;tudy of the boiling crisis with water in rod bundles. Heat Transfer-Sov. Res., 1(4)48-56. [78] LeTourneau, B.W., Peterson, A.C., Coeling, K.J., Gavin, M.E. and Green, S.J. [1975] - Critical heat flux and pressure drop tests with parallel upflow of high pressure water in bundles of twenty 0.25 and 0.28 inch diameter rods. WAPD-TM-1013. [79] Quinn, E.P. and Swan, C.L. [1964] - Visual observations of fluid behaviour in high-pressure transition boiling flows. GEAP-4636. [80] Swan, C.L. [1966] - Photography of heated surface fluid behaviour for transition boiling at 1000 psia. GEAP-5094. [81] Lund, K.O. [1975] - Critical heat flux in a subcooled, low-pressure rod-bundle with various rod spacings. ASME 75-HT-49. [82] Green, S.J., LeTourneau, B.W. and Peterson, A.C. [1970] - Thermal and hydraulic effects of crud deposited on electrically heated rod bundles. WAPD-TM-918. [83] Larsen, P.S., Kitzes, A.S., Stormer, T.D., Green, J. and Tong, L.S. [1966] - DNB measurements for upwards flow of water in an unheated 37 square channel with a single uniformly heated rod at 1600-2300 psia. Proc. ASME 3rd International Heat Transf. Conf., Chicago. [84] Little, R.B. [1970] - Dryout tests on an internally heated annulus with variation of axial heat flux distribution. AEEW-R578. [85] Janssen, E. and Kervinen,J.A. [1963] - Burnout conditions for non- uniformly heated rod in annular geometry, water at 1000 psia. GEAP-3755. [86] Knoebel, D.H., Harris, S.D., Grain, B. Jr. and Biderman, R.M. [1973] - Forced-convection subcooled critical heat flux. DP-1306. [87] Abraham, S.C., Macdonald, I.P.L., Moeck, E.O. and Wikhammer, G.A. [1966] - The effect of cosine and half-cosine heat fluxes on dryout for steam-water flow in an annulus at 1000 psia. AECL-2646. [88] Quinn, E.P. [1965] - Single-rod, forced flow, transition boiling heat transfer from smooth and finned surfaces. GEAP-4786. [89] Era, A., Gaspari, G.P., Hassid, A., Milani, A. and Zavattarelli, R. [1966] - Heat transfer data in the liquid deficient region for steam-water mixtures at 70 kg/cm flowing in tubular and annular conduits. CISE R-184. [90] Judd, D.F., Wilson, R.H., Welch, C.P. and Lee, R.A. [1967] - Non- uniform heat generation experimental program. Final Report. BAW- 3238-13. [91] long, L.S., Currin, H.B. and Engel, F.C. [1964] - DNB (burnout) studies in an open lattice core. Vol. 1. WCAP-3736. 38 11. NOTATION Symbols A channel flow area Bo boiling number D hydraulic equivalent diameter D^ heated equivalent diameter Fr Froude number (liquid) G coolant mass flux g acceleration due to gravity h coolant enthalpy L heated length of channel P^ heated perimeter of flow channel P.. wetted perimeter of flow channelW q heat flux We Weber number X coolant quality p coolant density a surface tension 39 Subscripts a b c e f fg 9 h ' average bulk critical, i.e. at hydraulic equival of the saturated of vaporisation burnout ent liquid of the dry, saturated vapour heated m of the two-phase mixture w wetted .v.iTibolic Names of Variables Used in Tables BO boiling number G coolant mass flux HEQD heated equivalent diameter L/D ratio of heated length to heated equivalent di ameter LFR liquid Froude number P system pressure QBAV average heat flux at the burnout section QBO local burnout heat flux RDIA rod diameter 40 RODS number of rods WE Weber number XBO coolant bulk quality at the burnout section XIN coolant bulk quality at the channel inlet 12. GLOSSARY Some of the terms used have well-established meanings, others have not. The definitions given here pertain strictly to the use of the terms in this report and are not necessarily applicable to the terms as they may be used generally in the literature. Boiling length The length of channel between the flow cross-section, at which the bulk enthalpy of the coolant is that of the saturated liquid, and the burnout cross-section. Boiling number A non-dimensional compound variable defined by the equation: H/NJJ Bulk When applied to a condition of the coolant, this indicates the average, condition over a flow cross-section calculated assuming thermal equilibrium (as in bulk enthalpy, bulk quality). Bulk boiling A condition of the coolant in which its bulk enthalpy lies between the enthalpies of the saturated liquid and the dry, saturated vapour at the prevailing pressure. 41 Burnout One of the following: (a) A sudden and disproportionate increase in the temperature of a heated surface, resulting from a very small increase In the surface heat flux or a very small change in the condition of the coolant. (b) The onset of a marked increase in the rate at which the temperature of a heated surface rises with increase 6f surface heat flux or with change in a particular condition of the coolant. Burnout condition The critical combination of coolant bulk conditions and surface heat flux at which burnout occurs. A local burnout condition is defined by the local heat flux, and an average burnout condition by the average heat flux over the heated perimeter of the burnout section. Burnout heat flux The surface heat flux at which burnout occurs. A local burnout heat flux is the value of the heat flux at the burnout point. An average burnout heat flux is the average surface heat flux over the heated perimeter of the flow cross-section containing a burnout point. Burnout point A point on a heated surface where burnout first occurs. Burnout power The heating power input to a heated channel at the onset of burnout. Burnout quality The bulk quality of the coolant at a burnout section. Burnout section A flow cross-section containing a burnout point. 42 Burnout subcooling The subcooling of the coolant at a burnout section. Channel peaking factor The ratio of the maximum local heat flux occurring in a channel to the average heat flux over the entire heated surface. Circular pitch Describes a rod array in which the rod centres are evenly spaced around the circumferences of concentric circles. One rod may be placed at the common centre. Compound variable An association of two or more independent variables in a fixed relation. Critical heat flux Synonymous with 'burnout heat flux1 Departure from nucleate boiling (DNB) A sudden transition from heat transfer by bubble nucleation at a heated surface to heat transfer through a vapour film, causing burnout, usually of category (a). Dryout A transition from heat transfer through a thin liquid film to heat transfer through a vapour, causing burnout, often of category (b). Flow cross-section A cross-section of the flow passage normal to the principal direction of flow. Form factor The ratio of the maximum local value of a variable, which varies spatially over an axis or plane, to the average value over the axis or plane. Hence, an axial form factor is a form factor with reference to the 43 longitudinal axis of a rod or channel, and a transverse form factor is one with reference to a cross-section of a channel. Froude number A non-dimensional compound variable defined by the equation: r2Fr = G 'f 9De Heated equivalent diameter A variable defined by the equation: Hydraulic equivalent diameter A variable defined by the equation: Percentile division Division of the range of a variable into intervals having approximately equal numbers of tests. Thus, in ten divisions, each interval contains ten per cent of the total number of tests and in five divisions each contains twenty per cent. Quality In two-phase flows, the ratio of the mass flow rate of vapour to the total mass flow rate at a flow cross-section. When the bulk enthalpy is below that of the saturated liquid, it is a notional quantity defined by the equation: h-hf Y - _ L" ^ Subcooled Having a bulk enthalpy less than that of the saturated liquid at the prevailing pressure. 44 Subcooling Generally, the difference between the enthalpy of the saturated liquid and the bulk enthalpy of the coolant. In this report, it is the ratio of this difference to the latent heat of vaporisation, numerically equal but opposite in sign to quality in a subcooled fluid. Surface boiling Local boiling at a heated surface when the coolant is sub-cooled. System pressure The pressure at the outlet of the- heated channel, where it is included in or can be derived from the recorded data; otherwise, it is the pressure at the inlet of the heated channel. Weber number A non-dimensional compound variable defined by the equation: ,2 We DeGm 13. ABBREVIATIONS USED IN THE TEXT 13.1 Laboratory Names and Locations and Number of Tests Abbreviation ABA AEEW ANL APED ARC ASEA Bettis Full Name and Location Heat Engineering Laboratory, Aktiebolaget Atomenergi, Studsvik, Sweden. United Kingdom Atomic Energy Authority, Atomic Energy Establishment, Winfrith. Argonne National Laboratory, Argonne, Illinois. Heat Transfer Facility, Atomic Power Equipment Department, General Electric Co., San Jose, -Calif. Alliance Research Centre, Babcock and Mil cox Co.,Alliance, Ohio. ASEA-ATOM (Allmanna Svenska Elektriska Aktiebolaget), Vasteras, Sweden. Bettis Atomic Power Laboratory, Westinghouse Electric Corp., West Mifflin, Pennsylvania. Number of tests 792 2260 60 1100 642 286 925 45 CISE Centro Informazioni Studi Esperienze, Heat Transfer 466 (Genoa) Facility, Stabi1imento Meccanico Ansaldo, Genoa, Italy. CISE Centro Informazioni Studi Esperienze, Heat Transfer 1677 (Piacenza) Facility, Ente Nazionale per 1'Energia Elettrica, Emilia Power Station, Piacenza, Italy. Columbia Heat Transfer Research Facility, Department of 1323 Chemical Engineering, Columbia University, New York. CRNL Chalk River Nuclear Laboratories, Atomic 95 Energy of Canada Ltd, Ontario, Canada. CMC Atomic Energy Department, Canadian Westinghouse 75 Co., Hamilton, Ontario, Canada. ETU Eindhoven Technological University, Eindhoven, 7 The Netherlands. Hanford Hanford Laboratories, Hanford Atomic Products 167 Operation, General Electric Co., Richland, Washington. Ispra Joint Research Centre, EURATOM (European Atomic * Energy Community), Ispra, Italy. KEI Krzhizhanovskiy Energetics Institute, Moscow, USSR. 332 KIA Kurchatov Institute of Atomic Energy, Moscow, USSR. 197 MAN Maschinenfabrik Augsburg-Nurnberg, Nuremberg, Federal 90 Republic of Germany MEI Moscow Power Institute, Moscow, USSR. 101 ORNL Oak Ridge National Laboratory, Oak Ridge, Tennessee. 462 PNL Pacific Northwest Laboratory, Battelle 162 Memorial Institute, Richland, Washington. SORIN Societa Ricerche e Impianti Nucleari, Saluggia, Italy. 676 SRL Savannah River Laboratory, E.I. Ou Pont Nemours and 294 Co., Aiken, South Carolina. Tokai Tokai Research Establishment, Japan Atomic Energy 284 Research Institute, Japan. Total 12473 *Some of the tests attributed to SORIN were performed at Ispra. 13.2 Names of Reactor Concepts and Designs CIRENE CISE Reactore a NeLbia (CISE Fog-cooled Reactor) CISE, Milan, Italy. BHWR Boiling Heavy Water Reactor. 46 LWBR Light Water Breeder Reactor, Westinghouse Electric Corp., Pittsburgh, Pennsylvania. SGHWR Steam Generating Heavy Water Reactor, United Kingdom Atomic Energy Authority. 47 TABLES 1-31 ; GENERAL COMMENT Tables 2A and 2B each occupy four pages; they are arranged so that thefirst page of Table 2A can be read in conjunction with the first of Table 2B, and so on. Other tables are set out in the conventional manner. 48 TABLE 1 COMPILATIONS OF BURNOUT DATA FOR AXIAL FLOW OF WATER THROUGH ROD BUNDLES AND ANNULI Reference Macbeth [1964] Harriett [1966] Barnett [1968] Tong et al. [1964] Hughes [1970b] Hughes et al. [1974] Mironov et al.[1978] This work Rod Bundles No. of Assemblies 23 26 40 18 20 126 76 297 No. of Tests 459 727 1007 366 735 4277 ~6000 11203 Annuli No. of No. of Assemblies Tests - i23 ' 724 29 830 > 34 ' 953 - - - ? _ _ 24 1270 Remarks 6.9 MPa (1000 psia) only. Updating of Barnett (1966) , numbers for which are included. 6.9 MPa (1000 psia) only. DNB Data Library; also included a large amount of data for round tubes. Pressures between 1 and 5 MPa. Organised for computer use; available as part of EKREST program package [Lintner 1970] . Organised for computer use. Organised for computer use. 49 NOTES TO TABLE 2A 1. -0., -0.0, -0.00, and -0.000 indicate that the item is not applicable orthe information is not given in the source of data. 2. Data source references (col.2) are listed in Section 10.2. 3. The meanings of symbols used to indicate special features (col.3) aregiven in Table 2C. 4. The number of grids (col.16) includes only those occurring in the heatedlength of the channel. 5. The meanings of grid type reference numbers (col.17) are given in Table2D. 6. The symbol '&' following a grid type reference number (col.17) indicatesthat different grid types are used in the same assembly. The number of grids is the total number of all types, but only the principal typereference number is indicated. 7. Confidential information has been omitted from the table. 50 TABLE 2A MAIN CHARACTERISTICS OF TEST ASSEMBLIES ASS. DATA SRCE REF. 1 2 3 4 5b 7 89 10 11 13 14 15 16 17 18 19 20 21 22 23 24 24 25 25 25 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 55 64 65 66 67 68 69 70 71 72 73 7* 75 76 77 78 79 80 81 d2 83 84 85 86 87 88 89 90 1 2 2 3 45,6 7 8 9 9 9 9 9 9 9 9 9 11 11 12 12 12 12 12 12 12 U 12 13 14 14 15 16 16 16 17 17 17 17 18 11 19 19 20 20 20 20 20 21 21 21 21 21 21 20 20 20 12 12 12 12 12 12 25 25 18 17 14 26 26 27 27 5 2U 29 30 31 31 32 32 32 32 32 32 SPECIAL NO. FEATRS OF RODS X ?n ?7x* 7 ?* ?? Xt Xxt xtxt xtxt xtxt X 7 7 7 +4 X* X* 7 7 7 7 7 7 7 7 7 7 7 X X X Xt Xxt xtxt xt 4? ?4 ?M ?7 ?4 ?4 + ?* ? 4* ?<* ??? *4*t ?4?t 3. 4.4. 19. 19. 7. 12. 7. 19. 19. 19. 19. 19. 19. 19. 14.19. 9. 9. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 6. 7. 37. 7. 6. 7. 19. 19. 19.19. 19. 9. 3. 3. 7. 7. 7. 7. 7. 7. 7. 7. 7. 7. 7. 3. 3. 3. 3. 3. 3.3. 3. 3. 1. 1. 19. 19. 6. 19. 19. 9. 9. 7. 19. 37. 37. 9. 9. 2. 2. 2. 2. 2. 2. sec OIAM. 6.35 11.11 11.11 13. S7 13. ?713. S7 11. Id 12.70 IS. ?7 15.87 15. b? 15.87 15.87 15.87 15.47 15.87 15.67 11.11 11.11 10. Cl 10. Cl 10. Cl 10.01 10. Cl 10.01 10. Cl 10. Cl 10. Cl 13.80 13.80 13.80 13.80 10.00 10. CO 10.00 19.41 19.81 19.81 19.41 15.54 11.11 17.70 12.70 10.20 10.20 10.20 10.20 10.20 10.23 10.20 10.23 10.20 10.20 17.95 5.01 5.01 5.01 10. C6 10.Ce10.06 10. C6 10. C6 10.06 10.20 10.20 15.54 19.81 13.90 19.61 IS. 74 9.52 S.52 13.97 13.97 13.80 13.80 10.20 10.20 10.20 10.20 10.20 10.20 10.20 10.20 ROD ROD t-EATEO L5MGTH HEATO/ GAP PITCH LENV.TH /HEATO nETTED /31AM. EJ.D1A PKUM. 1.57 4.J5 4.75 2.11 2.11 2.11 0.562.54 2.2C 2.64 2.2C 2.84 2.2C 2.84 2.2C 2.20 2.64 4.75 4.75 6.40 6.4C 6.40 6.4C 6.40 6.4C 6.40 6.40 6.4C 8.80 11. 6C 7.8C 7.83 4.00 4.03 4.0C 1.02 1.02 1.C2 1.02 1.02 4.75 3.S4 5.51 3.8C 3.80 3.dC 3.80 3.80 3.80 2.2C 1.25 1.25 1.25 1.38 2.00 2.00 2.00 6.40 6.40 6.40 6.4C 6.40 6.4C -O.OC -O.OC 1.02 1.02 11.50 1.02 0.97 4.78 4.78 2.11 2.11 7.80 7.80 3.20 3.20 3.20 3.2C 3.20 3.20 3.23 3.2C 1.248 1.427 1.427 1.151 1.151 1.151 1.050 1.200 1.138 1.179 1.1381.179 1.138 1.179 1.138 1.138 1.179 1.427 1.427 1.639 1.639 1.639 1.639 1.639 1.639 1.639 1.639 1.639 1.6381.041 1.565 1.565 1.400 1.430 1.400 1.051 1.051 1.051 1.051 1.065 1.427 1.3101.434 1.3731.373 1.373 1.373 1.373 1.373 1.216 1.123 1.123 1.123 1.077 1.399 1.399 1.399 1.636 1.636 1.636 1.636 1.636 1.636 -0.000 -0.000 1.065 1.051 1.827 1.051 1.049 1.501 1.501 1.151 1.151 1.565 1.565 1.3141.314 1.314 1.314 1.314 1.314 1.314 1.314 1372. 1219^ 914. 182V. 940. 432. 1629. 1219. 12X9.1219. 1219. 1219.1219. 1219. 1219. 1219. 7b2. 7b2. ?iiS. d3S. 835. 635. 835. d35. 835. d35. 835. 4000. 4420. 4380. 4375. 3000. 3000. 3000. 457. 889. 1829. 2743. 1930. Ii24. 4521.4521. 407. 407. 1634.1634. 1634. 1634. 1630. 1600. 1634. 1634. 1645. 711. 686. 730. 635. 835. 835. 835. 635. 835. 1183. 560. 1S30. 1829. 4420. 2743. 2499. 457.457. 940. 914. 4365. 4365. 1183. 1183. S90. 590. 590. 590. 590. 590. 70.1 -.60 61.9 95.0 1H9.<4 113.7 157.2 116.1 ' 112. a ?J7.3 112.8 97.0 112. d 97.0 112.6 9U.ii 96.5 39.1 39.1 44.1 Id.i) 44.1 44.1 44.1 44.1 4H.1 44.1 44.1 76.5 93.9 103.7 119.5 148.3 118.7 127.1 53.5104.3 213.9 320.8 256.4 78.2 200.3 200.3 21.4 21.4 dS.d 85.8 35.8 d5.8 140.! 210.5 241.8 175.3 163.0 64.7 62.4 64.0 59.0 27.3 59.0 59.0 59.0 59.066.1 31.3 2S6.4 213.9 95.0 303. V 267.2 20.0 20.0 102.0 95.0 119.3 119.3 96.9 80.8 12.023.9 23.9 23.9 35.9 35.9 C. 461c. SJH 0.538 5. .'53 C. 783 0.6<>5C. 730 0. 5'jt> 0.7U1 0. 727 D.7?l 0. 7^7 3.781 0.727 0.781 3. 7<>4 C.7?4 O.t3l C. 631 1. JOO 0, 426 1.303 l.uOOI. 000 1.030 1.000 1.303 1.000 0.442 0.53H 0.476 0.735 0.603 0.566 0.517 0.705 0.785 C.785 0.7H5 0.782 0.631 0.498 0.498 0.610 0.610 C.610 0.610 0.610 0.610 0.644 0.667 0.689 0.673 0.679 0.492 0.402 0.489 1.000 0.463 1.000 1.000 1.000 1.000 0.348 C.348 0.782 0.785 0.540 0.743 0.742 0.602 0.602 0.638 0.783 0.735 0.735 0.642 0.630 C.177 3.354 0.354 0.354 0.531 0.531 1 10* APti .'93.tint. bar. 2215. ??11.50 7.!>4 7.54 a. 21 6.895: 6.895 6.S93: 6.9S3 O.U*6: 6.SS1) 6.274: 4.274 6.89s: 6.3')s 6. ?53: o.hSS 6. 729: 6.695 6.695: b.S',1 6.805: 6.895 6.819: 6.895 6.791: 6.80? 6.fi2o: 6.895 6.6)3: 6.8V5 6.7d4: 6.874 6.695: 6.89* 6.895: 6.8S5 1.520: 4.020 1.010: 4.5oO 1.570: 4.C20 2.C6Q: 4.020 ?.<4C: 2. tO 3.040: 3.040 3.C40: 3.C40 3.C40: 3.C40 2.840: 3.430 3.040: 4.510 5.000: 5.010 1.270: 5.020 4.950: 5.010 3.040: 6.960 3.040: 5.000 3.040: 6.960 6.8oO: 8.267 3.337: 8.274 3.316: 8.274 3.261: 8.239 6.895: 8.274 4.137: 9.653 4. 137: 9.653 6.895: 6.895 4.950: 5.000 4.990: 0.480 4. 980: 6.520 5.020: 5.030 5.000: 5.090 6.476: 6.997 5.C06: 7.066 5.C36: 7.232 5.C84: 7.297 5.C54: 7.117 5.032: 7.110 5.090: 8.940 4.970: 8.890 7.COC: 7.130 1.570: 3.680 1.570: 3.733 1.570: 3.580 1.520: 3.530 1.570: 3.480 2.550: 3.530 3. 187:13. C72 3.256:13.190 6.895: 6.895 3.303: 8.246 5.030: 5.130 3.447: 8.274 5.171: 8.274 6.895: 9.756 6.874: 6.929 6.860: 6.895 6.881: 6.895 3.000: 8.730 2.960: 6.S70 8.430:14.460 7.890:15.610 12.750:13.140 13.140:13.340 17.850:13.140 5.150:13.340 12.750:13.290 12.940:13.140 ?A3S FLUX PA?4C-E ,,?-'S.SSM.. . -,_44. 02: ICO. 50 23. ?/: 129.11 27.60: 2C7.3766.59: 68.76 66.46: 272.6072. S&: 215.04 65.10: 554.70 78.66: 204.79 ',5.26: 345. B4 63. Gd: 203.43 6i?.3!>: 347.19 32. 5i: 2C0.72 o5.)3: 26d.53 60. to: 1'64.46 61. 14 J 337.70 l>5.10: 265.82 <>5.10: 269. d9 66.86: 138. 8d 40.69: 173.469.55: 14.02 3.41: 54.41 15.66: 24.54 17.57: 22.6321. B7: 21.87 10.03: 10.22 10.12: 10.12 10.12: 10.53 11.17: 11.54 19.63: 93.40 54.20: 148.50 35.60: 22d.70 36.00: 1C7.20 21.00: 117.70 22.80: 94.10 26.30: 104.80 67.81: 268.53 13.56: 410.94 13.56: 406.87 13.56: 271.25 136. 9d: 410.94 65.91; 172.92 33.23: 136.17 66.59: 135.76 107.00: 222.00 109.00: 222.00 74.00: 222.00 108.00: 112.00 108.00: 221.00 78.61: 151.50 76.75: 383.90 79.05: 387.20 79. Od: 384.60 79. f2: 387.40 79.15: 369.00 109.00: 251.00 109.00: 110.00 110. 00: 151.00 14. <<3: 43.08 8.64: 49.70 15.00: 25.40 18.17: 34.41 20.10: 39.50 12.76: 34.90 91. HO: 403.00 68.50: 418.50 141.05: 410.94 13.56: 404.16 51.20: 102.20 27.12: 271.25 135.62: 271.25 75.27: 154.61 75.27: 76.70 69.17: 191.23 67.81: 271.25 42.01: 178.90 19.70: 136.60 46.40: 226.50 41.40: 3C9.00 50.10: 230.00 50.30: 221.40 50.00: 227.70 49.40: 224.60 135.50: 151.00 135.00: 141.00 INLET JUAUTY RANGE -0.220:-0.054 -0.468:-0.047 -0.429:-0.022 -0. 102:-0.040 -0.499:-0.040 -0.238:-0.061 -0.6?6:-0.000 -0.089:-0.003 -0.324:-0.02d -0. 179:-0.019 -0. 329:-0.038-0.259:-O.OsO -0.255:-O.C41 -0.255:-0.03o -C.260:-O.C45 -0.196:-0.046 -0.2S5:-0.031 -0.285:-0.025 -C.420:-3.020 -0.391:-0.171 -0.407:-0.126 -0.38d:-0.171 -0.359:-0.214 -C.269:-0.269 -0.306:-0.30l -0.308:-0.306 -0.306:-0.294 -0.337:-0.286 -0.230: -0.046 -0.028:-0.008 -O.C87:-0.008 -0.072:-0.010 -0.575:-0.212 -0.435:-0.187 -0.563:-0.262 -0.327:-0.02d -0.327:-0.022 -0. 31S:-0.020-0.326:-0.021 -0.579: 0.391 -0. 342:-0.011 -0.283: 0.019 -0.257:-0.033 0.036: 0.608 -0.254:-0.01S -0.347: 0.613 -0. 143: 0.598 -0.190: 0.609 -0.25U-0.Otil -0.276: 0.497 -0.224: 0.412 -0.217: 0.508 -0.207: 0.057 -0.199: 0.420 -0.154: 0.698 0.021: 0.321 0.135: 0.857 -C.276:-0.113 -0.447:-0.089 -0.284:-0.134 -0.288:-0.079 -0.275:-0.131 -0.215:-0. 162 -0.696: -0.040 -0.699:-0.006 -0.504: 0.190 -0.323:-0.023 -0.038:-0.031 -0.324:-0.023 -0.197: 0.189 -0.072: 0.233 0.008: 0.173 -0.054:-0.046-0.32l:-0.049 -0.086:-0.007 -0. 189:-0.008 -0.448S-0.029 -0.604:-0.018 -0.446:-0.103 -0.429:-0.273 -0.4S2:-0.290 -0.448:-0.030 -0. 374:-0.098 -0.415:-0.015 BURNOUT OUAL1TY RANGE 0.204: 0.339 0.090: 0.461 0.099: 0.539 C.380: 0.417 0.178: 0.496 0.179: 0.439 -O.J20: 0.524 0.225: 0.427 0.017: 0.647 0.124: 0.4ol 0.013: 0.347O.lSti: 0.661 0.050: 0.374 0.200: 0.479 0.064: 0.383 0.022: 0.408 0.155: 0.521 0.101: 0.290 0.036: 0.393 0.589: 0.727 0.060: 0.849 0.227: 0.328 0.322: 0.4050.413: 0.418 0.719: 0.731 0.740: 0.743 0.735: 0.762 0.670: 0.078 0.214: 0.486 0.220: 0.404 0.116: 0.448 0.226: 0.515 0.222: 0.595 0.242: 0.641 0.219: 0.569 -0.127: 0.224 -0.077: 0.777 0.049: 0.914 0.254: 0.983 -0.143: 0.618 0.137: 0.415 0.204: 0.785 0.191: 0.478 0.119: 0.638 -0.131: 0.150 0.123: 0.088 0.250: 0.652 0.192: 0.652 O.loO: 0.322 0.114: 0.020 0.095: 0.622 O.llo: 0.646 -0.033: 0.3780.168: 0.606 0.192: 0.733 0.262: 0.454 0.395: 0.877 0.393: 0.717 0.137: 0.469 0.608: 0.780 0.291: 0.446 0.343: 0.535 0.336: 0.373 -0.405: 0.211 -0.445: 0.156 0.105: 0.560 0.138: 0.835 0.259: 0.403 0.263: 0.855 0.3C7: 0.483 0.011: 0.330 0.140: 0.260 0.210: 0.375 0.090: 0.344 0.181: 0.489 0.246: 0.735 -0.006: 0.499 -0.113: 0.533 -0.364:-0.005 -0.246:-0.045 -0.282:-0.077 -0.263: 0.104 -0.186: 0.024 -0.148: 0.130 BURNOUT HFAT FLUX RANGE a/sacfl _ 113.2: 187.4 124.6: 345.1 117.0: 324.0 120.1: 130.1 79.8: 231.0 122.0: 195.5 84.7: 404. C 123.6: 191.8 97.9: 259.6 150.4: 266.4 98.0: 235.6 102.9: 294.6 116.0: 244.1 157.1: 275.3 118.8: 265.9 125.5: ?46.1 163.9: 265.1 21b.7: 301.9 191.2: 3o2.1 94.9: 125.5 88.2: 306.3 192.6: 201.2 193.1: 199.7 197.6: 197.0 125.9: 125.9 83.1: 83.1 8S.7: 88.7 96.3: 96.6 72.7: 150.4 102.5: 150.3 61.4: 151.4 65. 0: 103.2 60.0: 166.4 84.7: 181.2 86.8: 180.5 125.8: 244.2 30.8: 277.7 17.4: 161.2 19.2: 113.2 39.7: 174.8 130.9: 331.5 45.1: 108.8 67.2: 114.5 61.8: 318.8 326.9: 525.1 25.0: 237.5 27.7: 204.3 22.5: 218.8 143.9: 231.9 28.4: 256.1 32.7: 227.3 40.8: 217.7 59.1: 207.4 51. 1: 151.9 22.2: 324.4 91.8: 161.4 15.5: 201.6 102.7: 190.9 100.0: 304.0 99.6: 145.0 144.5: 194.0 141.3: 191.3 189.8: 191.3 103.9: 492.8 146.0: 710.5 66.8: 172.4 IB. 8: 164.5 97.1: 127.8 32.8: 122.9 73.1: 147.1 145.1: 271.3 173.5: 258.7 107.0: 177.3 137.0: 314.1 85.7: 127.0 35.8: 96.2 86.9: 183.3 99.9: 278.5 178.8: 444.8 221.6: 395.7 245.0: 437.9 179.3: 450.2 203.2: 335.5 172.6: 320.1 52 TABLE 2A (CONTINUED) MAIN CHARACTERISTICS OF TEST ASSEMBLIES ASS. DATA SRCEREF. 91 92 93 94 96 97 98 99 100 101 101 101 102 102 102 103 103 103 104 104 104 105 105 106 107 108 109 110 111 112 113114 115 116 117 118 119 120 121 121 122 123 124 125 126 127 128 129 130 131 132 133134 135 136 137 138 139 140 141 142 143144 145 146 147 146 149 150 151 152 153 154 155 156 157 158159 160 161 162 163 164 32 32 32 33 ^*?Jj 33 3333 3312 1212 1212 12| y 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 34 35 36 36 36 36 37 37 38 38 38 38 39 39 36 4041 41 39 39 40 40 40 40 42 43 11 11 44 45 46 47 47 48 47 49 49 49 45 50 50 50 49 49 49 51 51 51 52 53 52 53 52 SPECIAL NO. FEAIRS OF RODS ???*$ ???* **?* ?*? a9 *? ?., xxs X*xs X*xs xsxs xsxs xsxs xsxs xs X X X* 7 7 7 X +?>??? ?<*? ?<*? +??* m >rf ?* EL+* ?M?* *? ?*?* ?*?* * ? * ? ??tn nt tt* ** *sctl ??c ????c N7>l N7<| N7. 31*1).1C24. iC5t..1024. 1024. 725. 725. 725. 725. 725. 725. 725. 725. 725. 725. 725. 725. 725.725. 9*1. 941. 730. 1403. 2661. 4725. 1594. 1014. 1014. 3314. 3314. 3314. 3314. 2885. 2685. 2851. 2851. 2851. 2ES1. 1980. 1960. 3314. 2257.3614. 3614. 1980. 1960. 1510. 2004. 2004. 2004. 2258. 2C04. 1991. 1556. 2258. 1921. 3348. 127. 93. 422. 127. 554. 554. 554. 554. 2962. 2883. 2683. 554. 554. 554. 6014. 5538. 1594. 1325. 195. 1325. 195. 991. MYC?C FOUlv.OJAM. 0. il 8.7) a. 73b.b4 ?).2?: 0.64 8.8* 14.10 14. lo 14.10 14. lo 14.16 14.1o 14.10 14.10 14.10 14.10 14.16 14.10 14.1o 14.16 14.93 14.93 8.80 14.44 25.2039.47 21.97 8.59 B.5-J13.13 13.13 13.13 13.13 11.70 11.73 11.32 11.32 11.32 11.32 12.63 12.63 13.13 8.10 12.96 12.96 12.63 12.63 4.94 6.97 0.97 0.97 8.10 7.13 12.61 10.09 7.86 12.34 13.27 3.99 2.79 10.22 3.99 9.51 9.51 9.51 9.51 23.73 22.56 22.56 9.51 9.51 9.51 36.44 33.31 21.96 3.42 4.39 3.42 4.39 2.44 ifATEi) 12.33 12.13 U.33 li.vo 20.35 2S.57 ^5.57 sO?oH 14.16 1-..16 14.10 14.1o 14.16 14.10 14.16 U.lo 14.101-..16 14.10 14.16 14.16 30.74 30.74 24.34 25.37 48.11 85.42 49.03 13.45 13.45 14.46 16.46 18.4o 14.46 16.32 16.32 15.88 15.88 15.88 15.88 14.35 H.3S 111. 40 10.56 18.12 18.12 19.35 19.356.24 ?4.014.55 0.55 10.56 8.55 19.45 15.2110.15 18.97 18.67 12.74 8.22 24.16 7.64 17.64 17.64 70.55 17.64 42.42 39.58 39.58 17.64 17.64 17.64 72.71 66.96 49.02 4.437.11 4.43 7.11 3.31 PADIALF.iPI FACT.K 1.763 1.501 1.133 1.000 1. OBI 1.041 1.000 1.000 1.701 1.023 l.tol 1.452 1.340 1.236i.m 1.120 1.043 1.034 1.003 1.042 1.09O 1.000 1.030 1.000 I. 000 1.000 1.000 1.000 1.000 1.000 1.300 1.000 1.000 1.250 l.ObO 1.066 1.320 1.320 1.320 1.320 1.000 1.030 1.250 1.067 1.500 1.003 1.000 1.000 1.010 1.030 1.335 1.048 1.069 1.046 1.000 1.030 1.000 1.003 1.003 1.030 1.000 1.000 1.414 1.000 2.294 1.003 1.2831.004 1.029 1.029 1.403 1.187 2.160 1.000 1.000 1.000 1.500 1.000 1.500 1.000 1.500 AXIAL FACtUV 1.000 1.303i.:oo 1.0 JOIftnn ?Uwv I. 000 1.300 1.728 1.000 1.000 1.000 1.000 1.300 1.000 1.030 I. 000 1.000 1.000 1.003 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.160 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.387 1.000 1.000 1.000 1.000 1.000 1.300 1.000 1.000 1.245 1.368 1.368 1.000 1.000 1.000 1.000 1.000 1.473 1.000 1.030 1.000 1.000 1.000 SO. CA 10 OF TYPE GRIDS 2. 2.?. . 5. 5.5, 3. -0. -0. -0. -0. -0. -0. -3. -0. -0. -0. -0. -0. -0. -0. -0.1. I.1. 4. 4. 4. -0. 3. 5.7. 4. 3. 7. 5. 5. 7. 7. 6. 7. 4. 3. 3. 2.4. 4. 3. 4. 4. 4. 4. 8. 2. 8. 4. 4.2. 3. 8. 12. 12. -0.14. 5. 5. 5. 5. 1. 1. 1. 5. 5. 5.-o. -0. -0. 23. 2. 23. 2. 23. 3.1 3.1 3.1 5.CC. f 3. l? 5.0 5.C 5.0 5.C -O.C -0.0 -0.0 -0.0 -3.0 -O.C -0. C -0.0 -O.C -0.0 -3.C -0.0 -0.0 -0.0 -0.0 4.2 4.2 4.2 12. C 4 12.0 4 12. C 4 -0.0 5.0 5.0 3.2 10.0 10. C 3.2 7.0 11.0 3.2 3.2 3.2 4 3.2 10.0 10. C 10.0 l.C 7.0 7.0 10. C 10.0 l.C A 1.0 A 1.0 i l.C 3.2 1.0 3.2 3.2 3.2 10.0 10.0 4.1 4.1 -0.04.1 10. C 10.0 10.0 10.0 13.1 13.1 13.1 10.C 10.0 10.0 -0.0 -0.0 -0.0 3.5 .t 3.3 3.5 & 3.3 3.9 & 53 TABLE 23 (CONTINUED) NUMBER AND RANGE OF BURNOUT TESTS WITH EACH ASSEMBLY ASS. 0192 93 9i 95 90 97 98 94 100 101 101 101 102 102 102 103 103 103 1C* 134 104105 105 106 107 108 109 110 111 112 113 114 115 116 117118 119 120 121 121 1?2 123 124 125 126 127 128 129 130 131 132 U3 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 150 157 158 159 160 161 162 Ib3 164 NO. CF TESTS 4. 3.a. 41. 22.64. 34. i4. 61. 44. 24. 6. 4. 15. 14. 6. 7. 13. 7. 3. 13. 2. 4. 4. 11. 38. 39. 40. 29. 25. i. 81. 513. 5-.. 46. 26. 26. 17. 32. 14. 26. 39. 15. 142. 121. 4. 14. 43. 60. 35. 34. 19. 17.ia. 21. 7. IS. 35. 14. 19. 63. 50.4. 2. 65. 5. 23. 11.33. 2. 1. 5. 1. 2.3. 16. A2.ia. ID. 60. 160. 21. 37. 48. FRESS'JSC ?1ANU M?A n.C93:U.343 17.70CU3.HC 12.J5C.-1 1.0 7.E5C:n.tJO 12.S>0:14.2<.'0 12. 470: IS.-. -'0 4.220:U.:>*0 8.3-.0:l3.;j3 ?.3*0:lS.<,/02.;?a: 4.o?:o 2.060: ' ;:^U 2.C60: 4.270 2.COO: 4.UO 2.0t>3: 4.SJO ?.Ci>0: 4.120 2.COO: 4.270 7.C&0: 4. |7? 2.C6C-- 4.270 2.0oC: '..2<:0 3.C40: 3.C4C 2.C6C: 4.270 3.C40: 4.020 2.C6C: 4.U'0 2.0608 4. ,.'20 0.300: 0.9S3 0.320: 0.-.70 3.270: 1.060 t.CBJ: ?..C2d 1.C-.0: 4.020 3.C40: 4.020 3.04C: 3.C-.C 13.594:16.656 6.657:16.9*6 4.137: s. 61* 4.U7: 3.6lrt 6.695: o.flVS 6.895: 6.C.CO: 24C.23???(.JO: 23.S.1G ??.!.;0: 300.40 50.HO: 234. SO "U.13S :>?5.0046.20: 102. SO 18.40: 133.03 19. (.3: S2.01 21.34: 53.41 iV.tS: 4S.28 23. S1:: So.i7 2J.89J "JV.Oi 2t.lS: iS. 74 ll.^ls bt'.4-! 2b.?: 4B,*.l7 26. tj: 492. ti 34. 4S: 174.55 14. 4i: 173.05 68.4*: 179.84 03.76: 174.55 201.40: 410.80 135.62: 4CS.58 o/.iJd: 243.71 67. *4: 244.26 66.32: 245.07 67.54: 246.16 33. 3o: 205.88 33.50: 169.53 103.21: 106.19 65.10: 397.38 16.95: 275.11 16. 95: 269.89 33.36: 169.26 33.C4: 153.30 67.81: 546.50 67.61: 545.20 67.81: 680.1)3 67.81: 410.94 67.81: 203.43 67.BI: 412.29 65.64: 164.65 61.30: 103. id 67.81: 679.47 32.83: 137.11 33.65: 136.04 135.62: 257.60 162.75: 189.37 64.56: 263.92 135.62: 311.93 48.90: 295.50 86.90: 174.60 127.10: 294.40 168.60: 221.00 55.80: 55.80 14.10: 54.80 29.90: 29.90 202.50: 202.60 16.- 10: 238.70 113.00: 225.10 106.40: 199.30 69.10: IS8.00 21.10: 98.80 20.21: 406.87 31.50: 493.50 69.03: 210.08 77.40: 167.00 34.58: 413.65 INLET JUUITYRANi'.E -0.38?:-0.076 -0.3l9:-3.Cd5 -0.387:-3.109 -Q.o<>8:-0.043 -0.4C2:-0.117 -0.7/6:-0.1l6 -O.M8:-0.036 -C.!>40:-0.039 -C.(,OC:-0.038 -0.2?- x*>-< M>->tf **> ??x? X*?*??> **$-.> *a* X X Xt *? ? X X X? X*?? ?* ?? ??<>*?> ?*>?*> *?> +<>??*> *4 X* X* X*x?* XX* 19. 20. 19. 21. 19. 21. 19. 19. 19. 19. 16. 37. 25. 25. 25. 25. 7. 7. 7. 7. 19. 19. 19. 7. 7. 7. 7. 7. 7. 19. 16. 10. 16. 16. 10. 16. 19. 19. 19. 19. 19. 19. 24. 29. 29. 29. 25. 25. 9. 7. 7. 1. 1. 1. 1. 1. 3. 3. 3. 4. 4. 4. 4. 3. 3. 3. 1. 3. 16. 16. 16. 16. 16. 16. 16. 16. 16. 9. 9. 3. 3. 3. 3. 3. ROD CIAM. MM 19.9719. CS 19.57 10.7219.97 10.7219.57 10.7219.57 10.7215.06 13.80 10.7210.72 10.7210.72 12.70 17.5617.56 12.7020. CO 20.03 20.0012.70 12.70 12.7012.70 12.7017.70 20. CO15.00 15.0015.00 15.0015.00 15.0315.24 15.2415.24 15.24 1S..24 15.24 14.507.65 7.657.65 10.7710.69 10.49 9.109.10 10. CO 10.0010.00 10.0010.00 10. CO10.00 10. CO10.00 10. CO10.C3 10. CO10.00 10. CO 10.0010. CO 7.54 10.7210.72 10.7210.72 10.72 10.7210.72 10.7210.72 12.7012.70 9.0010.00 10.0010.00 10.00 ROD ROC HEATED LENGTH hEATO/ FlOW HVO'C GAP PITCH LENGTH /HEATO WETTED AREA EOUIV. /01AM. EO.DIA PERIH. OUM. MM MM 0. 1524. 3000.1524. 2700.4365. 2134. 2134. 2134. 2134. 255. 1635. 1615. 295. 3816. 3816. 3816. 295. 295. 295. 295. 295. 295. 6000. 3660. 3660.3660. 3660. 3660. 3660. 489. 489. 489. 469. 489. 489. 2134. 2419. 2419. 2419. 1676. 1829. 235. 2500. 1750. 200. 200. 200. 100. 290. 300. 600. 900. 300. 300. 300. 300. 300. 300. 300. 200. 1270. 2438. 2438. 2438. 2438. 2438. 2438. 2438. 2438. 2436. 4267. 4267. 400. 200. 420. 200. 400. 309.3 7*1.0 309.3 94. S309.3 116.4 30V.3 87. V 139.3 118.7 145.9 119.3 140.0 128.7 129.1 134.0 39.2161.7 159.7 50.0 396.5 396.5 408.6 50.6 50.6 50.6 50.6 50.6 50.6 621.6 195.7 195.7 195.7 195.7195.7 195.756.9 58.9 56.9 58.9 58.9 56.9 245.4 413.3 413.3 413.3104.4 114.3 31.1 196.0 137.6 20.9 4.5 20.9 2.3 6.6 20.7 41.4 62.2 23.7 23.7 17.9 11.7 20.7 15.9 10.4 4.5 66.0 145.9 145.9 145.9 145.9 145.9 145.9 145.9 145.9 145.9 197.7 197.7 24.7 9.2 19.4 15.9 31.9 0.761 0.737 0.781 0.714 0.701 0.747 0.781 0.720 0.781 0.76-. 0.712 0.735 C.740 0.708 0.7020.736 0.6450.679 0.679 0.834 0.782 0.782 0.754 0.834 0.834 0.634 0.834 0.834 0.834 0.782 0.712 0.712 0.712 0.712 0.712 0.712 0.778 0.778 0.778 C.776 0.778 0.778 0.760 0.793 0.793 0.793 3.636 C.603 0.677 0.619 0.619 1.000 0.217 l.OOO 0.217 0.217 0.525 0.525 0.525 0.570 0.570 0.5590.514 0.525 0.505 0.466 0.217 0.473 0.6890.689 0.689 0.689 3.689 0.689 0.689 0.689 0.689 0.618 0.618 0.460 0.448 0.448 0.488 0.486 2890. 551. 2690. 2643. 2890.2734. 2890. 2772. 2890. 256b. 3502. 14282.3194. 3350. 3339. 3350. 526.999. 999. 526. 2672. 2872. 2788.526. 526. 526. 526. 526. 526. 2681. 3525. 3525. 3525. J525. 3525. 3525. 1886. 1886. 1886. 1880. 1886. 1686. 2283. 1019. 1019. 1019. 2987. 2821.561. 636. 636. 346. 346. 346. 346. 346. 341. 341. 341. 397. 397. 526. 608. 341. 443. 678. 346. 360.2251. 2251. 2251. 2251. 2251. 2251. 2251. 2251. 2251. 1937. 1937. 344. 511. 511. 296. 296. 7. id2.44 7.58 11.43 7.58 9.77 7.58 12.47 7.58 9.81 13.10 26.89 11.24 11.74 11.60 11.74 4.B6 6.87 6.87 4.86 7.52 7.52 7.04 4.86 4.86 4.66 4.86 4.86 4.86 7.54 13.31 13.31 13.31 13.31 13.31 13.31 6.45 6.45 6.45 6.45 6.45 6.45 6.61 4.64 4.64 4.64 10.219.64 5.12 7.88 7.88 9.56 9.56 9.56 9.56 9.56 7.61 7.61 7.61 7.22 7.22 9.21 13.22 7.61 9.50 13.46 9.50 9.10 11.51 11.51 11.51 11.51 11.51 ll.il11.51 11.51 11.5113.34 13.34 7.46 9.71 9.71 6.12 6.12 HEATED" EJUIV. 9.73 9^73 16.09 9.70 13.09 9.70 17.33 9.70 12.84 18.50 36.60 15.18 16.58 16.53 15.92 7.54 10.11 10.11 5.83 9.62 9.62 9.34 5.83 5.83 5.83 5.83 5.83 5.83 9.65 18.70 18.70 16.70 18.70 16.70 18.70 8.29 8.29 6.29 8.29 8.29 8.29 8.69 5.85 5.85 5.85 16.05 15.99 7.56 12.72 12.72 9.5o 44.03 9.56 44.03 44.03 14.48 14.48 14.48 12.65 12.65 16.73 25.72 14.48IB. 81 28.76 44.03 19.25 16.71 10.71 16.71 16.71 10.71 16.7116.71 16.71 16.71 21.58 21.58 16.21 21.68 21.68 12.55 12.55 RADIALFORM FACTOR 1.333 1.930 1.512 1.087 1.105 1.246 1.105 1.097 1.099 1.341 1.000 1.183 1.009 1.118 1.098 1.122 1.300 1.300 1.000 1.2221.141 1.141 1.141 1.181 1.157 1.122 1.096 1.081 1.386 1.128 1.037 1.203 1.203 1.196 1.197 1.263 1.086 1.086 1.066 1.066 1.0661.086 1.286 1.568 1.638 1.736 1.085 1.093 1.000 1.000 1.000 2.638 1.000 2.599 1.000 1.090 1.000 1.000 1.000 1.030 1.000 1.030 1.000 1.000 1.000 1.033 1.300 1.000 1.047 1.047 1.047 1.145 1.146 1.146 1.146 1.159 1.157 1.000 1.000 1.000 1.090 1.000 1.030 1.000 AXIAL FORM FACTOR 1.003 1.000 1.003 1.000 1.000 1.000 l.OOO 1.000 1.000 1.000 1.444 1.003 1.000 1.000 1.030 1.000 1.000 1.003 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.300 1.000 1.000 l.OOO 1.000 1.000 1.300 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.4522.258 2.315 2.257 1.0001.000 1.0001.000 1.9001.419 1.0001.379 1.0001.000 1.0001.000 1.0001.000 1.0001.000 1.000 1.0001.000 1.0001.000 1.0001.563 1.5631.563 1.8561.856 1.8561.856 1.8561.856 1.691 1.6721.000 1.000 1.0001.000 1.000 NO. GR 13 OF TYPE GRIDS 5. 23. 5. 4. 5.4. 5. 4. 5. 4. 6. 7.to. 10. 10. 10. 1. 3. 3. 1. S. 42. 9. 1. 1. 1. 1. 1. 1. 12. 7. 7. 7. 7. 7. 7. 7. 8. 10. 12. 7. 12. 4. 7. 7. 7. 2. 4. 0. 10. 7. 0. 1. 1. 4. 4. 1. 3. 5. 0. 1. 0. 3. 0. 0. 0. 0.4. 9. 8.9. 9. 9. 9. 9. 9. 9. 17. 16. 2. 2. 3. 2. 2. 6.1 3.5 A6.1 7.C 6.1 2.0 13. C 7.C 13.0 2.C 5.1 7.0 10.0 4 10. C 4 10. C A 10. 0 4 3.2 7.C 6.2 3.27.0 6.2 A 7.C 3.2 3.2 3.2 3.2 3.2 3.2 7.C 10.0 10.0 10.0 10.0 10.0 10.0 3.3 A 3.3 3.3 3.3 3.2 3.3 8.3 8.3 8.3 8.3 11.0 11.0 O.C 12.0 12.0 0.0 15.1 15.1 15.2 A 15.1 A 4.2 4.3 4.3 0.0 4.3 0.0 0.0 0.0 0.0 0.0 0.0 3.4 11. C A 11.3 A 11.6 A 11. C A 10.2 A 10.2 10.1 11.4 A 11.4 11. C A 11.3 A 16.C 16.0 16.0 4.3 4.3 55 TABLE 28 (CONTINUED) NUMBER AND RANGE OF BURNOUT TESTS WITH EACH ASSEMBLY ASS. ~16S 166 167 16S 16J 170 171 17.4 174 175 176 177 17d 179 180lai 162 163 184 18* 186 167Ida U9 190 191 192 4-3 194 200 201 202 203 204 2C5 206 207 20d 20) 210 211 212 213 214 215 216 217 2 It! 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 24d 249 250 251 252 253 NO. CFTESTS ~^a~ 51. 6J. 11. 116. 11. 185. * 106. 9. 43. 10. 11. 32. 42. 4. 3?C. 70. 147. 7. 262. 102. 22..). 29. 8. 12. 7. 10. 29. 40. 33. 26. 20. 27. 22. 23. U. 10. 7. 15. 9. 5. 1. 4. 1. 59. 54. 2. 9. 92. 60. 59. 27. 10. 1. 53. 29. 41. 26. 21. 36. 4. 28. 33. 13. 43. 4.a. 32. 36. 29. 23. 17. 35. 18. 30. 33. 14. 10. 13. 19. 6. 10. MESSOP? SEA 3.C>9: o.lvi ?.2?4:l.<.7sO 5.C3U 6.100 10. 3*2 : 13. 3*2 l.CnS: S.ciirt 10.342MO.J4? ?..^j: S.247 10.3*2: 10.242 6.727: 6.V62 4.S70: 6.-JSO I?. 507:13. 8a<> 11. 128:15. V>-? 11. 12il:l5.Sb4 12.507:1 }.8Sf. O.C4U Cl.jW J.C5J* 5. .'37 ?.-iol: 6.109 O.C99: O.C'V-J 7.S11: ?.109 4.C9'i: ?i.67d 4.6 7t' Ji? }54 0.100: 0.1CO O.C96: 0.100 O.C99: G.C-J9 O.C99: O.C99 O.C99: 0.099 O.C99: C.C99 5.COU 6.355 6.660: 7.200 6. 650: 7.020 6.360: 7.G30 6.930: 7.C50 6.690: 7.300 6. ?0: 7.000 1.551: 3.551 3.55U 3.551 3.55l> 3.551 3.551: 4.137 3.55U 3.551 3. 551: 3.551 13.790:13.790 13.790:1:1.740 13. 790: I 3. 790 13.790:13.7*0 11.9a2:l6.203 10.170:15.686 11.790:13.790 12.300:12.400 12,200:13.900 9.800:13.700 9.600:13.700 9.800:13.700 9.800: 9.800 9.80C: 9.800 C.74CS 1.670 1.030: 4.220 0.590: 4.170 0.680: 1.960 O.SdO: 1.620 0.690: 1.370 0.980: 1.570 C.SdO: 1.230 0.780: 1.620 0.910: 1.570 9.800:13.700 6.695: 6.895 10.280:14.513 10.273:16.768 10.225:16.644 10.363:16.616 10.287:14.810 10.328:14.541 10.32U17.030 10.280:16.547 10.32U16.747 10.342:16.527 12.355:16.720 10.300:10.300 9.800: 9.800 4.900: 4.800 9.600: 9.800 9.00C: 9.800 "ASS f-LUX 16.40: 1*8.02 -14.45: *?CS. S3 JA.C5: 377.34 1 .' rt . ? * : i/3.96 Is. SB: ;-|B.32 li-i.^J: 410.94 IS. 73: 202.72 IS. 71: 295.12 Hi.tJ: 272.60 69.40: ib2.t>0 36.13: <)2.20 70. 0?: -.00.09 VC.oD: tV-.ZZ 7e.c4: J72.o9 74. d9: <.?,?. 33 1,2': !i.i3 5 7, 72: ?34. 74 3h.CS: ."id.ao 3.37: 5.2,1 IB. 54: 291. 4: 363.72 11.22: 200.25 10. ?S: 704.56 12.05: 203.60 11.82: .'00.52 11.17s 203.25 11.83: 200.87 70.25: 1S6.6S 69.57: 19o. 11 69.85: 195.43 66.18: 201.40 69.57: 194.62 69.98: 196.11 67.00: 116.03 135.49: 135.49 204.25: 4C6.19 399.82: 3V9.82 131.55: 372.96 138.34: 371.61 54.66: 134. Hi 7C3.80: 253.70 150.00: 305.00 39.00: 223.00 28.00: 331.UO 29.30: 231.70 69.30: 87.30 234.00: 234.00 67.20: 277.80 101.90: 273.10 65.80: 271.90 49.10: 26o.oO 96.00: 267.80 44.60: 252.40 90.90: 92.00 90.40: 271.80 90.90: 270.10 105.90: 177.50 29.40: 334.00 33.91: 135.62 280.74: 492.31 273.96: 449.09 203.43: 486.89 259.04: 490.96 203.43: 490.96 212.93: 495.02 279.38: 535.71 345.64: 501.80 272.60: 490.96 271.25: 465.53 340.41: 503.16 76.80: 434.40 29.60: 432.50 30.00: 443.00 31.10: 222.40 30.30: 235.80 INLET dUALlTV -0.226:-0.313 -1.072:-0.125 ? 0.225:-3?026 -0.26U-J.130 -0.212:-0.009 -0.2o5:-0.127 -0.2C3:-0.014 -0.206: 0.24-* -0.263:-0.134 -0.220:-0.009 -3.052:-O.OOV -0.448:-0.160 -0.51d:-O.OB9 -C.749:-0.131 -2.275:-0.197 -0.070: D.DC'6 -0.240: 0.41'? -0.257: 0.42; -J.018:-0.01o -0.198: 0.277 -u.t'02,: 0.4O9 -0.2CU-0.026 -C.019:-0.014 -0.057:-0.014 -0.01d:-0.016 -0.060:-0.052 -0.059:-0.057 -0.060:-0.058 -0. 190:-0.0?'3 -0.539:-O.T?5 -0.528:-0.?'*0 -0.-.28:-0.0'.9 -0.3S5:-0.052 -0.508:-0.043 -0.402:-0.057 0.325: 0.683 0.351: 0.6dl 0.439: 0.673 0.3^1: 0.682 0.486: 0.607 0.482: 0.610 -0.343:-0.179 -0.353:-0.3S3 -0. 349:-0.339 -0. 138:-0.138 -0. 766:-0.094 -0.683:-0.092 -0.257:-0.039 -0.512:-0.324 -0. 754:-0.145 -O.dl6: 0.011 -0.727: 0.015 -0.d2U 0.006 -0.432:-0.016 -0. 178:-0.178 -0.105: 0.237 -0. 158:-0.064 -0. 162:-0.0al -0. 100: 0.212 -0.074: 0.217 -0.059: 0.224 -0.015: 0.079 -0.044: 0.290 -0.006: 0.279 -0.015: 0.111 -0.692:-0.002 0.256: 0.517 -0.314:-0.073 -0.565:-0.094 -0.526:-0.089-0.433:-0.092 -0.457:-0.079 -0.449:-0.107 -0.610:-0.116 -0. 334!-0.081 -0.533:-0.087 -0.537:-0.121 -0.40U-0.104 -0.609:-O.OS1 -0.835: 0.180 -0.876: 0.300 -0.43o:-0.020 -0.902:-0.011 BURNOUT OUALITV RANGE 0.264: 0.302 0.129: O.SH4 0.100: 0.649 -0.306: 0.191 0.257: 0.840 -0.044: 0.132 0.279: 0.8?0 ?.rt fl*i"A* A 1 ***iU* Uv J? U* 1 ?> ' 0.1V6: 0.797 -0.024: 0.1V6 0.272: 0.609 0.311: 0.514 0.075: 0.3oO 0.033: 0.366 -0.023: 0.145 O.U64: 0.2BS 0. ?64: 0.91S O./aO: 0,632 0.177: 0.645 C.4dO: 0.600 0.255: 0.960 0.2V2: O.d64 0.245: O.dOl 0.482: 0.663 0.420: 0.004 0.501: 0.676o.46i: o.aoi 0.49&: 0.706 0.525: 0.865 0. J42: C.9V9 0.150: 0.955 0.050: 0.916 0.102: 0.841 0.112: 0.984 0. 110: 0.822 0.129: 0.807 0.373: 0.724 0.431: 0.743 0.508: 0.747 0.446: 0.775 0.507: 0.669 0.509: 0.691 0.012: 0.283 -0.078:-0.078 -0.130:-0.108 -0.000:-0.000 -0.140: 0.102 -0.173: 0.102 0.177: 0.266 0.110: 0.1 ?0 -0.003: 0.147 -0.418: 0.282 -0.414: 0.132 -0.398: 0.286 -0.402: O.'Ul -0.136:-0. .36 -0.023: 0.310 0.019: 0.129 0.035: 0.276 -0.008: 0.374 0.063: 0.314 0.073: 0.336 0.091: 0.165 0.063: 0.340 0.061: 0.326 0.055: 0.168 -0.462: 0.125 0.345: 0.710 -0.063: 0.059 -0.159: 0.038 -0.200: 0.050 -0.146: 0.024 -0.146: 0.050 -0,149: 0.026 -0.266: 0.045 -0.114: 0.028 -0.211: 0.039 -0.043: 0.095 -0.088: 0.090 -0.209: 0.126 -0.352: 0.273 -0.323: 0.480 -0.174: 0.307-0.232: 0.243 BURNOUT HEAT FLUX RANGE 20.9: 89.2 12.5: 94.0 52.2: 209. t 152.1: 256.2 23.8: 138.2 117.7: 219.6 19.2: 121.9i ft i s * ?ftn & LO I ? 3 ? cOU**t 20.1: 124.2 153. M: 236.3 d3.1: 143.2 80.8: lll.l 75.7: 201.9 76.0: 224.8 117. o: 231.3 94.6: 175.2 16.9; 52.6 40.9: 153.2 50.6: 252.6 25.5: 35.7 14.8: 120.7 13.9.- 115.5 36.6: 116.3 21.2: 35.7 17.4: 51.5 21.2: 35.2 16.6: 51.8 25.5: 50.9 22.).: 52.4 6.6: 115.0 21.5: 242.7 23.2: 262.2 26.4: 228.6 26.9: 222.5 24.6: 212.5 27.0: 196.4 16.4: 76.1 31.9: 92.8 33.9: 81.9 SO. a: 102.1 22.9: 49.4 23.8: 57.9 15.1: 22.8 97.3: 97.3 121.4: 209.3 138.4: 138.4 128.9: 299.1 170.4: 340.4 249.8: 253.3 165.0: 191.0 144.0: 263.0 214.0: 710.0 248.0: 884.0 238.0: 664.0 466.0: 790.0 490.0: 490.0 157.2: 485.0 260. 5: 428.0 172. U 346.6 170.1: 506.7 197.9: 456.9 141. U 487.1 324.7: 412.6 95.8: 505.6 136.1: 465.1 281.0: 506.7 233.0: 780.0 37.5: 69.1 230.7: 356.1 155.4: 327.7 240.1: 396.7 113.4: 421.4 187.2: 309.7 187.9: 355.4 82.8: 279.3 264.1: 428.7 196.6: 452.8170.5: 318.0 219.0: 316.6 263.0: 475.0 210.0: 640.0 93.0: 698.0 221.0: 668.0 198.0: 430.0 56 TABLE 2A (CONTINUED) MAIN CHARACTERISTICS OF TEST ASSEMBLIES ASS. DATA SRCE REF. 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 289 290 290 291 291 292 293 294 295 296 297 298 Al A2 A3 A4 AS A6 A6 A6 A7 A7 A7 A8 A9 AID All A12 A13 A14 A15 A16 A17 A18 A18Aia A19 A19 A20 A21 A22 A23 A24 77 77 77 77 77 77 77 77 77 77 77 78 78 78 78 78 78 78 78 78 7? 78 78 78 78 78 79ao 81 82 62 82 82 62 82 45 45 45 45 46 46 83 33 25 91 18 18 42 84 84 84 84 84 85 85 85 65 65 85 86 86 86 86 86 86 86 86 86 86 87 87 87 87 87 88 89 89 89 90 SPECIAL NO.FEATRS OF RODS X* X*x?* x??x?? X** X4* M*Y X??Y X??Y X??Y X*x?a x?a X*x< x?ax? X*x? x?x? x?<-> X*xia ?* ?*lx?a x*sx? x*:x? x?; **L *?L +VL **L ?*L *?L? *?0?E **!< M H N < > > > > V V V V DV OVV OV Vov "< "< ".9 39.280. a 66.1 162.9 256.4 256.4 46.9 387.9 310.3 310.3 310.3 310.3 423.0 123.0 123.0 103.7 103.7 103.7 23.3 32.3 33.S 32.0 23.3 32.3 32.3 32.3 32.332.3 35.5 35.5 3S.5 71.4 71.4 248.2 766.5 97.1 64.0161.4 0.?.64 O.H64 0.468 0.486 0.4S6 C.488 0.468 0.483 0.466 3.468 0.486 0.720 0.720 C.720 0.720 0.723 0,720 3.720 0.720 0.726 0.720 1.720 0.720 0.748 0.748 0.748 C.273 0.270 0.763 0.720 C.720 0.720 C.720 0.720 C.720 0.650 0.650 0.050 0.650 0.711 0.711 0.334 0.630 0.348 0.507 0.782 C.782 J. 767 0.431 0.431 0.431 C.431 0.431 0.382 0.382 0.382 0.382 0.382 0.382 C.364 0.415 0.464 0.430 0.364 0.415 0.415 0.415 0.415 0.415 0.423 0.420 C.420 0.420 0.423 0.364 0.469 0.403 0.4031.000 I- LOw 52*iMl_ 414. 4l4. 246. 2"?0. 296. 296. 290. 29o. 29o. 29o. 29o.aso. 890. 6Sb. 840. 696. ??><>. 89o. 896. 77V. 896. 89o. 896. 616. 618. 618. 400. 400. 3314. 696. 696. 896. 896. 896. 896.1921. 1921. 1921. 1921. 3348. 3348. 116. 1056.143. 732.1746. 1746. 2258. 147. 147. 147. 147. 147. 240. 240. 240. 240. 240. 240.261. 262. 771. 380. 261. 282. 282. 282. 2S2. 282. 164. 164. 164. 164. 164. 261. 50. 98. 98.375. HYO'C EOulV. D1A-. JJJS. . 8.14 6.14 6.12 6.12 s.li 6.12 6.12 6.12 6.12 6.12 6.12 6.46 0.46 6.*6 6.46 6.46 0.46 6.46 6.46 5.67 6.46 6.46 6.46 4.14 4.14 4.14 14.44 14.44 9.37 6.46 6.46 6.46 6.40 6.46 6.4612.34 12.3412.34 12.34 13.27 13.27 6.05 9.23 6.23 8.63 5.86 5.o8 8.10 5.08 5.08 5.08 5.06 5.088.S.I 8.51 8.51 8.51 8.51 8.51 9.53 7.82 8.43 8.20 9.53 7.82 7.82 7.82 7.82 7.82 5.77 5.77 5.77 5.77 5.77 9.53 2.014.94 4.94 11.33 t'.UI.. OIAM.?3? 17.57 17.57 12.55 12.55 12.55 12.55 12.55 12.55 12.55 12.55 12.5S 0.98 6.98 a. 96 8.98 0.96 8.96 8.98 8.98 7.61 3.99 8.98 6.96 5.53 5.53 5.53 53.42 53.42 12.27 4.98 6.98 0.96 6.96 6.98 8.98 16.97 16.9718.97 18.97 18.6718.67 18.14 14.64 17.89 17.03 7.53 7.5310.56 11.79 11.79 11.79 11.79 11.79 22.30 22.30 22.30 22.30 22.30 22.30 26.20 18.85 18.18 19.06 26.20 18.85 18.85 18.85 16.85 18.85 13.72 13.72 13.72 13.72 13.72 26.20 4.29 12.27 12.27 11.33 RACIAL FORM FACTOH ~77030~" l.?00 1.330 l.OUO 1.333 1.330 1 .0 00 1.0331.000 1.000 1.033 1.530 1.533 1.530 1.533 1.033 1.330 1.333 1.500 1.533 1.000 I. 000 1.329 1.030 1.030 1.107 1.000 1.000 1.680 1.000 1.000 1.033 1.030 1.000 1.000 1.000 1.000 1.033 1.000 1.000 1.000 1.000 1.0001.030 1.000 1.077 1.077 1.069 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.0001.001 AXIAL FACTOR "ITooo" 1.000 1.000 1.000 I. 000 1.000 1.330 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.3031.000 1.000 1.000 1.000 1.0301.347 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.330 1.000 1.367 1.387 1.000 1.000 1.0003.139 1.000 1.300 1.000 1.000 1.000 1.446 1.160 1.744 1.39$ 1.432 l.*,46 1.320 1.347 1.356 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.460 1.4601.460 1.344 1.344 1.000 1.000 1.000 1.0001.260 NO. GRID OF TYPE GRIDS 3. 3. 2. 3. 2. 3. 3. 3. 3. 3. 3.5. 6. 5. 4. 6. 5. 4. 4. 4. 4. 4. 4. 4.5. 5. 3. -0. 2. 4. 4. 4. 4. 4. 4. 3. 3.4. 3. 8. 8. 0. 5. 7. 22. 7. 31. 2. 13. 10. 10. 10. 1C. 9. 9. 9. 5. 5. 5. 2. 6. 6. 6. 2. 6. 6. 6. 6. 6. 2. 2. 2. 4. 4. 28. 8. 2. 2.4. 4.3 4.3 4 16.0 16.0 16.0 16.0 16. C 16. C 16. C 16.0 16.C 17.1 17.1 A 17.2 17.2 17.2 a 17.2 17.2 8.2 8.2 6.2 8.1 17.2 8.3 8.3 8.3 3.1 -0.0 10.0 8.2 8.2 10.110.1 17.2 a 17.2 a 10.0 10.0 10. C 10.0 10.0 10.0 0.0 5.C 3.1 3.4 3.2 3.2 i 3.2 4.1 4. 4. 4. 4. ? 3. 1 3. * 3. < 3. 3. 3. ' 3.3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3.1 57 TABLE 28 (CONTINUED) NUMBER AND RANGE OF BURNOUT TESTS WITH EACH ASSEMBLY ASS. 2J>4 255 256 257 253 259 260 261 262 263 264 265260 267 268 264 270 271 272 27J 274 275 276 277 278 274 280281 282 283 284 285 286 287 2?8 2t?4 284 290 290291 291 292 293294 295 296 297 298 Al A2 A3 A4 A5 A6Ao A6 A7 A7 A7 A8 A9 A 10 All A12 A13 A14 A15 A 16 A17 A18 AU AJL8 A19 A19 A20 A21 A22A2J A24 NO. OFTESTS 6. B. 2.9. 5. 2. 5. 9. 4. 16.a. 34. 32. 42. 36. 5. 30. 40. SO. 54. 25. 33. 32. 45. 54. 15. 19. 4. 21. 6. 5. 40. 15. 16. 15. 35. 35. 23. 24. 40. 43. 57.ia. 2. S. 5. 5. 37. 19. 308. 156. 50. 23. 1. 19. 5. 5. 6. 12. 246. 16. 22. 4. 37. 7. 57. 5. 4. 6. 18. 6. 5. 10. 11. 21. 71. i3. 39. 48. PRESSURE RANGE ., , ,. , ftfA - , 9.800: 9.800 4.SOO: 9.aiX> 9.800: 9.6JO ?.bOC: "..80.3 9.&30: 9.600 9.800: 9.800 9.600: 9.t>03 4.900: 9.600 4.SOC: 9.300 9.80C: s.803 9. 800: 9.BOO 8.274:13.710 8.274:13. 790 8.274:13.793 8.274:11.790 13. 790OJ. 793 fl.274U3.790 8.2/4:13.740 0.274:13.790 8.239:U.858 8.239:13.845 8.274:13.793 8.274:13.790 8.274:13.793 2.758U3.790 8.274:13.790 6.895: 6.895 6.895: 6.895 O.C94: 0.137 6.274: 8.274 8.274: 8.274 8.274:13.790 8.274:13.790 8.274U3.790 8.274:13.790 5.516: 6.895 5.516: e.895 5.516: 6.895 5.516: 6.8955.481: 6.964 5.392: 6.99810.411:15.996 12.940:13.78012.474:11.004 13.^00:13.907 6.895: 6.895 6. ?95: 6.d95 6.895: 8.274 6.722: 6.998 5.C68: 7.102 5.102: 7.C676.516: 6.998 6.688: 6.99a 6.845: e.895 6.895: 6.929 6. ?95: 6.895 6.833: 6.998 6.89$: 6.929 6.860: 6.964 0.222: 0.732 0.44&: 0.712 0.474: 0.6250.474S 0.563 0.397: 0.531 0.563: 0.722 0.477: 0.791 0.461: 0.590 0.44o: 0.446 0.450: 0.598 6.S15: 7.060 6.991: 7.074 6.915: 7.033 6.S5,'; 7.171 6.950: 7.115 6.895: 6.895 5.263: 8.280 6.983: 7.196 7.C01: 7.123 6.750:13.921 "?AiS KUX RANGE _-__?X??Sa?li37.40: ?30.30 82. aO: 233.30 56.83: 234.03 74.00: 470.00 99.00: 440.00 219.00: 220.40 74.00: 446.00 100.03: 235.00 72.00: 2C9.00 75.00: 447.00 76.00: 442.53 33. e3: 546.56 33.50: 542.49 33.77: 545.20 11. C&: ->43.d5 3'. 77: 135.04 33. ?3: 4VC.96 31.77: 4CJ.SB 33.50: 526.22 35. i;: 469.12 31. 4o: 271.65 33.53: 272.3* 33.o3: 4C6.7J 33. ti: 543.17 33.91: 406.23 6.75: 24.09 66.46: 135.62 36.62: 135.62 241.70: 629.70 67.40: 272.47 67.81: 2C9.94 33.50: 274.39 67. 81: 272.20 67.40: 271.42 67.95: 271.79 34.03: 136.75 32.90: 133.93 33.11: 136.92 33.38: 138.20 33.92: 137.82 33.30: 138. 82 66.32: 41C.67 47.90: 224.10 93.30: 94.00 190.55: 260.40 136.98: 4C9.58 139.69: 410.94 67.81: 271.25 131.42: 403.34 134.27: 339.46 134.54: 345.02 134.00: 339.60 134.54: 339.33 150.54: 150.54 112.57: 189.87 150.54: 189.87 188.52: 189.87 153.25: 154.61 112.57: 153.25 401.04:1365.72 437.79:1342.13 420.84:1328.16439.28: 882.09 500.45:1556.95 S60. 89:1463. 91 430.33:1335.89 161.26: 969.70 890.77: 914.32 492.72: 999.81 39.97: 97.30 52.72: 68.9448.89: 97.23 31.19: 104.24 39.14: 93.67 66.73: 201.54 78.27: 385.28 110.36: 381.99 110.10: 383.94 67.68: 342.31 INLET OUALITY MANGE -0.640:-0.024 -3.599:-0.002 -0. 39o:-3.25<.2:-0.13a 0.300: 0.71J -0. l?Q:-0.053 -C.160:-0.090-0. 325:-0.134 -0.318:-0.136 -1.083:-0.118 -3.402:-0.133 -0.640:-0.128-0.636:-0.131 -0.51l:-0.012 -O.S40:-0.012 -0.535:-0.012 -0.510:-0.013 -0.378: -0.032 -0.40&:-0.039 -C.497:-0.059 -0.704:-0.105 -0.212:-0.198 -0.348:-0.28o 0.024: 0.177 0.025: 0.171 -0.355: 0.323 -0.242:-0.008 -0.4C4:-0.034 -0.271:-0.034 -0. 23&: -0.028 -0.24b:-0.035 -0.056: -0.056 -0.462:-0.026 -0.47l:-0.018 -0. 335:-0.043 -0.372:-0.058 -0.413:-0.060 -0. 244.--0.081 -C.230:-0.119 -0.294:-0.122 -0.247:-0.133 -0.374:-0.210 -0. 317S-0.150-0.2aO:-0. 128 -0.32l:-0.193 -0.333:-0.159 -0.433:-0.236 0.309: 0./55 0.445: 0.756 0.433: 0.754 0.247: 0.745 C.360: 0.759 -0.563:-0.049 -0.300: 0.488-0.227: 0.515 -0.190: 0.522-0.417:-0.026 BURNOUT JUALITY RANGE -0.174: 0.209 -0.161: 0.233 -0.177:-0.15l -0.179: 0.209 -0.328: O.OOB -0.233:-0.03l-0.300: 0.371 -0.395: 0.005 -0.090: 0.132 -0.1 on: 0.709 -0.289: 0.311 -0.144: 0.512 -0.421: 0.515 -0.4S1: 0.500 -0.409: 0.484 3.348: 0.636 -0.331: 0.687 -0.440: 0.035 -0.3C4: 0.468 -0.3V7: 0.424 -0.017: 0.649 -0.339: 0.639 -0.168: 0.631 -0.173: 0.741 -0.024: 0.774 0.672: 0.958 0.333: 0.729 0.208: 0.502 -0.121:-0.068 0.159: 0.515 0.193: 0.449 -0.348: 0.640 -0.042: 0.441 -0.137: 0.432 -0.138: 0.418 0.107: 0.636 0.134: 0.630 0.118: 0.655 0.136: 0.641 0.228: 0.756 0.252: 0.769 -0.174: 0.278 0.045: 0.415 0.072: 0.082 -0.227: -0.163 0.233: 0.498 0.311: 0.570 0.096: 0.493 0.138: 0.353 0.160: 0.389 0.100: 0.360 0.185: 0.355 0.177: 0.328 0.265: 0.265 0.010: 0.339 0.193: 0.245 0.080: 0.204 0.141: 0.249 0.117: 0.267 -0.148:-0.023 -0.124:-0.053 -0.154:-0.054-0. U8:-0.058 -0.231:-0.126 -0.167t-0.065 -0.132:-O.OS1 -0.123:-O.U81 -0.274:-0.142-0.29U-0.107 0.346: 0.768 0.479: 0.764 0.486: 0.777 0.402: 0.782 0.486: 0.821 0.226: 0.514 0.293: 0.864 0.121: 0.598 0.094: 0.584 -0.020: 0.696 BURNOUT HEAT FLUX KANOE -B/SiiCB 263.0: 560.0 256.0: 510.0 442.0: 525.0 175.0: 407.0 93.0: 326.0 128.0: 140.0 loO.O: 280.0 221.0: 500.0 U6.0: 3V6.0 61.0: 314.0 128.0: 430.0 57.6: 374.8 47.5: 35b.2 56.8: 493.551.0: 401.7 63.1: 165.3 48.2: 269.7 45.0: 327.4 51.1: 368.1 47.3: 487.4 46.4: 199.7 45.1: 212.0 20.7: 314.8 31.5: 292.1 36.6: 255.2 11. 8: 36.3 25.2: 97.8 55.5: 86.8 135.5: 335.195.3: 191.2 93.7: 163.7 45.1: 212.0 72.6: 202.2 53.6: 242.9 51.4: 2.36.3 91.6: 213.0 90.5: 239.7 90.4: 209.1 b8.2: 229.7 24.0: 150. V 22.8: 123.9 143.2: 493.1 69.1: 184.8 108.7: 117.7 87.3: 118.7 56.2: 109.4 71.2: 150.187.1: 289.6 49.4: 143.5 64.5: 175.8 35.4: 123.8 25.1: 72.4 76.6: 138.4 111.3: 111.3 89.2: 415.9 109.5: 215.8 183.8: 332.7 178.2: 285.7 151.0: 292.8 379.8:1144.2 470.0M1S6.2 421.5:1240.1709.8:1053.9 1277.6:2220.2878.6:2036.9 471.9:1611.0 577.9:1389.0 255.5: 880.1 1101.6:1858.1 2.4: 59.7 10.9: 65.4 4.2: 16.4 4.4: 21.87.1: 21.8 64.7: 150.6 6.4: 69.4 27.0: 241.6 31.7: 388.0 18.8: 201.7 TABLE 2C MEANINGS OF SYMBOLS USED TO INDICATE SPECIAL FEATURES OF ASSEMBLIES SYM. E L si Dy N I NO. OF : i_ 92 08 48 33 31 16 13 11 10 8a 8 4 4 4 44 33 21 1 1 1 1 NO. OF 4S41 3446 2340 1C24 1359 544 4C8 121 172 404 370 173 168 226 212 75 55 37 17 10 23435 24 21 21 1815 5 LEANING J I. NCN-CIRCULAS DUCT. SQUARE PITCH ARRAY. TRIANGULAR PITCH ARRAY. DUCT PROTUBERANCES SIMULATING EITHER A PART OF THE SURFACE OF SURROUNDING RODS OR THE BOUNDARY OF ADJACENT ROD CELLS. SEVEN-ROD BUNDLE ENCLOSED IN CIRCULAR DUCT. HEATED DUCT. ASYMMETRIC AXIAL DISTRIBUTION OF HEAT FLUX WITH PEAK IN DOWNSTREAM HALF OF CHANNEL. CONSTANT HEAT FLUX MAINTAINED ON PART OF HEATED SURFACE. SEPARATED STEAM AND MATER PHASES AT INLET TO CHANNEL. OOMNFLOM CF CCCLANT. BURNOUT NOT AT OUTLET OF CHANNEL WITH AXIALLY UNIFORM HEAT FLUX. STEPPED PROFILE Of- AXIAL DISTRIBUTION OF HEAT FLUX. ASYMMETRIC AXIAL DISTRIBUTION OF HEAT FLUX wITH PEAK IN UPSTREAM HALF OF CHANNEL. BUNDLE MOUNTED ECCENTRICALLY IN DUCT. PGD TC DUCT GAP REDUCED BY ROD BOnlNG OR ATTACHMENT OF PADS TO DUCT WALL. HORIZONTAL CHANNEL. HEAVY WATER COOLANT. RODS CONVERGE TOWARDS DOWNSTREAM END OF BUNDLE. NATURAL CIRCULATION OF COOLANT. SPIKE CR HOT PATCH IN AXIAL DISTRIBUTION CF HEAT FLUX. HEAT FLUX TILT ACROSS SOME RODS IN BUNDLE. CrtUD DEPOSIT DELIBERATELY FORMED CN RODS BEFORE TEST. MISALIGNMENT OF RODS IN ADJACENT AXIAL SEGMENTS OF BUNDLE. TWO RCOS IN CONTACT. ROD GAP REDUCED BY BOWING OF ROD. PARTIAL BLOCKAGE OF COOLANT FLOW PASSAGE. SIGNIFICANT HEAT LOSS FRCK DUCT. BUNDLE CONTAINS HEATED RODS OF DIFFERENT DIAMETERS. cnCO TABLE 2D GRID OR ROD SPACER TYPES AND REFERENCE NUMBERS UJ REF. I MO. I NO. NO. I OF | OF 1ASS1S1-IES1SI I 1.0 I 1.1 I "sto'i" 3.1 I 1.2 I 3.3 I3.4 I -__5_l. 4.0 I4.1 I 4.2 I 5.0 I __i.l_l6.0 I IM-ERCCM.'ECrEC RCO-SURROUNUfNC Rlf.GS WITH PADS. WAfiFS. OR TONGUES. ROO-IMEf)?E?VING BANDS MtTH PADS. CCRRUGATEO STRIPS (PARALLEL TO A ROD PITCH LINE* HfTH TONGUES.CGKRI.GATEC STRIPS CPERPENCICULAR TO A ROD PITCH LINE! ulTN TONGUES. FILM-STRIPPING RING ATTACHED TO OUCT HALL. EGG-CRATE OR HONEYCOMB OS JDS *ITH PADS OR TCNOUESi WITHOUT MIXING VANES: SIHPLE SUPPORT. EGG-CRATE OR HGNEYCOMB GRIDS HlTh PADS OR TONGUES AND MIXING VANES: SIMPLE SUPPCRT. kESTINGHOUSE T-H. NO PERIPHERAL VANES. T-Hi NO PERIPHERAL VANES. EGG-CRATE OR HONEYCOMB GRIDS WITH PADS OR TONGUES AND MIXING SCOOPS: HO P^h.lPMEfW, SCn?Ps- _BJJ)S.MlIU_fiJCiAL_SIBi_..__ROD-GRIPPING SLEEVES MlTH INTERCONNECTING PAUS. CHORCAL STRIPS:ROC CONTACTED ON ONE SIDE CNLY. BAND OR SLEEVE -RAPPING BUNDLE CIRCUMFERENCE. ___ SEPARATE SPRING SLEEVES ATTACHEC TO RODS: SINGLE FLOta kINOOM. DOUBLE FLOk HlNOOM. 60 TABLE 3A COMPOSITION OF THE DATA BANK IN RESPECT OF ROD ARRANGEMENT Form of Rod Arrangement Circular pitch * Square pitch Triangular pitch (7- rod within circular duct) f 2-rod, not simulating square pitch Single rod with non- circular duct Annulus All forms Numbers of Tests included for Assemblies with: Axially Uniform Heat Flux 4604 2850 2279 (1352) f 65 189 895 10 882 Axially Non-uniform Heat Flux 559 596 61 ( 7)* 0 0 375 1591 All Distributions of Heat Flux 5163 3446 2340 (1359)# 65 189 1270 12 473 # Item and numbers enclosed in brackets are included in the circular pitch class. * See Glossary for definitions of terms. TABLE 3B SUBDIVISION OF ROD ARRANGEMENT CLASSES ACCORDING TO NUMBER OF RODS Circular Pitch Arrays Number of Rods is 6 7 19 37 ALL Number of Tests $ 211 [ 87] 30 [ 0] 1359 [ 7] 1731 [ 45] 1832 [420] 5163 [559] Square Pitch Arrays Number of Rods 2+ 4 5 9 16 20 21 25 ALL Number of Tests? 68 [ 0] 222 [ 0] 3 [ 3] 1932 [189] 824 [404] 103 [ 0] 71 [ 0] 223 [ 0] 3446 [596] Triangular Pitch Arrays Number of Rods 3 7 <7)? 12 19 20 24 29 ALL Number of Tests5 1151 [ 18] 298 [ 0] (1359 [ 7])# 51 [ 0] 20 [ 0] 809 [ 32] 5 [ 5] 6 [ 6] 2340 [ 61] Notes to Table 3B ? simulating central rod in a circular pitch array. 4- simulating square pitch.# enclosed in circular duct; numbers included in total for circular pitch array.$ numbers of tests with axially non-uniform heating are enclosed in square brackets. 61 TABLE 3C COMPOSITION OF THE DATA BANK IN RESPECT OF THE SHAPE OF THE ASSEMBLY DUCT Shape of Duct Cross-Section *Circular, no P Circular, with P All circular shapes: Rectangular, no P Rectangular, with P All rectangular shapes: Cruciform Paral lelogrammatic, no P Parallelogrammatic, with P All parallelogrammatic sh Hexagonal, no P Hexagonal, with P All hexagonal shapes: Triangular All shapes Number of Tests included for Assemblies with: Axially Uniform Heat Flux 5891 689 6580 2855 68 2923 71 729 99 apes : 828 341 76 417 63 10 882 Axially Non-uniform Heat Flux 865 87 952 593 0 593 3 32 5 37 6 0 6 0 1591 All Distributions of Heat Flux 6756 776 7532 3448 68 3516 74 761 104 865 347 76 423 63 12 473 * P = protuberances, simulating either part of the surface of surrounding rods or the boundary of adjacent rod cells. TABLE 4A COMPOSITION OF THE DATA BANK IN RESPECT OF HEAT FLUX DISTRIBUTION Radial Distribution Uniform Non-uniform All radial distributions Number of Tests included for Assemblies with: Axially Uniform Distribution Burnout at Exit 5909 4709 10 618 Upstream Burnout 188 76 264 Axially Non-uniform Distribution Position of Burnout Detected 712 795 1507 Position of Burnout Not Detected 30 54 84 All Axial Distributions 6839 5634 12 473 a\ro 63 TABLE 4B SUBDIVISION OF TESTS WITH AXIALLY NON-UNIFORM HEATING ACCORDING TO FLUX PROFILE Position of Peak Towards inlet Symmetrical Towards outlet All positions of peak Number of Tests included for Assemblies with Axial Heating Profiles of the Form: Smooth 79 1015 314 1408 Step ! Spike 80 0 93 173 9 0 1 10 All Types 168 1015 408 1591 TABLE 4C DISTRIBUTION OF TESTS BETWEEN ASSEMBLIES WITH UNHEATED AND HEATED DUCTS State of Duct Heating Unheated duct Heated duct All states Number of Tests included for Assemblies with: Axially Uniform Heat Flux 10 473 409 10 882 Axially Non-uniform Heat Flux 1456 135 1591 All Distributions of Heat Flux 11 929 544 12 473 64 TABLE 5 DISTRIBUTION OF BURNOUT TESTS ACCORDING TO PHASE CONDITION OF THE COOLANT Condition of Coolant Subcooled or satur- ated water at burn- out section Subcooled or satura- ted water at inlet, steam-water mixture at burnout Subcooled or satura- ted water at inlet Steam-water mixture at inlet, uniformly mixed Steam-water mixture at inlet, non- uniformly mixed i Steam-water mixture at inlet( 1 All conditions Number of Tests included for Assemblies with: Axial ly Uniform Heat Flux 1255 8584 9839 933 110 1043 10 882 Axially Non-uniform Heat Flux 305 1206 1511 30 50 80 1591 All Distributions of Heat Flux 1560 9790 11 350 963 160 1123 12 473 65 TABLE 6A COMPOSITION OF THE DATA BANK IN RESPECT OF UNUSUAL OR ABNORMAL FEATURES OF THE TEST ASSEMBLY Assembly With unusual or abnormal features Without unusual or abnormal features All assemblies Number of Tests included for Assemblies with: Axially Uniform Heat Flux 988 9894 10 882 Axially Non-uniform Heat Flux 87 1504 1591 All Distributions of Heat Flux 1075 11398 12 473 TABLE 6B NUMBERS OF TESTS ASSOCIATED WITH INDIVIDUAL FEATURES Feature Unusual features: Horizontal arrange- ment Downflow Natural circulation Heavy water coolant Converging rods Abnormal features: Eccentric bundle Bowed rod Rods touching Reduced rod-shroud clearance Misalignment in segmented bundle Flow obstruction Crud deposit Number of Tests included for Assemblies with: Axially Uniform Heat Flux 75 404 10 55 37 226 21 21 132 24 18 35 Axially Non-uniform Heat Flux 7 80 All Distributions of Heat Flux 75 404 17 55 37 226 21 21 212 24 18 35 TABLE 7 DISTRIBUTION OF TESTS AMONG REGIONS DEFINED BY EQUALDIVISIONS OF THE RANGES OF 2 VARIABLES CONSIDERED SIMULTANEOUSLY THF TOTAL NUMBER OF TESTS IS 12473 THE SYMBOLIC NAMES CF THE VARIABLES AND THEIR RANGE DIVISIONS ARE: )IV. RANGE Of G G/S.SOCM 1 2 3 4 5 67 8 9 10 11 It13 1415 16 17 18 1920 21 2223 24 2526 2728 2930 31 32 0.0 : 50.0001: 100.001: 150.001: 200.001: 250.001: 300.001: 350.001: 400,001: 450.001: 500.001: 550.001:600.001: 650.001:700.001: 750.001: 800.001: 850.001: 900.001:950.001: 1000.01: 1050.01: 1100.01: 1150.01: 1200.01: 1250.01: 1300.01:1350.01: 1400.01: 1450.01: 1500.01: 1550.01: 50.0000 100. CCO 150.000 200.000 250. OOC 300.000 350.000 400.000450. OCO 500.000 550. OCC 600.000650. OCC 700.000750. COC 800.000 850. OOC 900.000 950.000 1000.00 1050. CO 1100.00 1150.00 I 200. 00 1250.00 1300.00 1350.001400.00 1450. OC 1500.00 1550. CC 1600.00 RANGE OF P MPA 0.0 : 1.00001: 2.00001: 3.00001: 4.00001: 5.00001: 6.00001: 7.00001: 8.00001: 9.00001: 10.0001: 11.0001: 12.0001: 13.0001:14.0001: 15.0001: 16.0001: 17.0001: 1.00000 2.00000 3.00000 4.00000 5.00000 6.00000 7.00000 8.00000 9.00000 10.0000 11.0000 12.0000 13.0000 14.00CO15.0000 16.0000 17.0000 13.0000 TABLE 7 (CONTINUED) 1 1 E_J 1 fi_1 ^ 34 5 6 7a ?> I LI ' > . 9 nr i b2 2. 76 2. 42 <25 i: 3 ^ ? 3 1 i i t .5 rs 2 25 4. J8 TiO < )1 3< ?3 1< 7 ! >???.? U _? LI 2< 27 7, ?1 9. ?6 31 i7 3 >6 24 >6 it W 4 .j 99 26 < J5 1! >8 ' 34 i3 1 !>4 24 , 23 1 _fl 14 1 >2 2. >2 1< ? 3 f7 L3 < 31 23 i t ^ .2 J 37 < J3 I- i7 ! ?4 36 < 38 Li L5 *7 LO L92 ? 3 10 J )8 ?3 >3 ' ?4 bb ' 18 ' ? L2i ; LI 17 27 ?3 2 J3a ?3 12 16 26 12 15 3S < 26 6 LO U '1 29 2 13 LO 1t3 2 28 2?4 1 j3 1 t7 1 10L7 11 22 14 53 !>4 27 29n It,n law 11 d 15 219 ' 2 (8 5 ' 25 25 5 32 23 Ift 14 U il 30 'to 54 33 L5 10 7 12 ld_ L4 ?3 24 4 14 27 33 3 24 L6 1 3 ? ? ? 9 * ? ? ? ? ? ? ? ? * ? ? ? ? ? 1 ? TABLE 8 DISTRIBUTION OF TESTS AMONG REGIONS DEFINED BY EQUAL DIVISIONS OF THE RANGES OF 2 VARIABLES CONSIDERED SIMULTANEOUSLY THE TOTAL NUMBER OF TESTS IS 12473 THE SYMBOLIC NAMES CF THE VARIABLES AND THEIR RANGE DIVISIONS ARE: )IV. RANGE OF OBO W/SO.CM 1 2 3 45 6 7a 910 1112 13 1415 1617 1819 20 2122 2324 2526 2728 29 30 31 3233 34 3536 37 0.0 : 50.0001: 100. 001: 150.001: 200.001: 250.001: 300.001: 350.001: 400.001: 450.001: 500. OOi: 550. OCi: 600.001: 650.001: 700.001: 750.001: 800.001: 850.001: 900.001: 950.001: 1000.01: 1C50.01: 1100.01: 1150.01: 1200.01: 1250.01: 1300.01: 1350.01: 1400.01: 1450.01: 1500.01:1550.01: 1600.01: 1650.01: 1700.01: 1750.01: 1800.01: 53.0000 100. COO 150. OCC 200. COO 250.000 300. OCO 350. OCC 400. OOC 450. OOC 500. COO 550. CCO 600. CCO 650.000 700. COC 750. CCO 800. CCC 850.000 900. OOC 950. OCO 1000.00 1050. CC 1100.001150. OC 1200. CO1250. OC 1300.00 1350.00 14CO.OO 1450. OC 1500.00 1550.00 1600.00 1650.00 1700.00 1750.00 1800.00 1850.00 RANGE OF P HPA 0.0 : 1.00001: 2.00001: 3.00001: 4.0C001: 5.00001: 6.00001: 7.00001:3.00001: 9.COOOI: 10.0001: 11.0001: 12.0001: 13.P001: 14.0001: 15.0001: 16.0001: 17.0001: 1.00000 2.00000 3.00000 4.00000 5.00000 6.00CCC 7.00000 8.00000 9.00000 10.00CO 11.0000 12.0000 13.0000 14.0000 15.0000 16.3000 17.0000 Id. 0000 OIV. 38 39 40 41 42 43 44 45 RANGE OF OBO W/SO.CM 1850.01: 1900.01: 1950.01: 2000.01: 2050.01: 2100.01: 2150.01: 2200.01: 1900.00 1950.00 2000.00 2050.00 2100.00 2150.OG 2200.00 2250.00 00 - L TABLE 8 (CONTINUED) 11 e_. r 23 4?j 6 7 8v 10 11 12 1314 15 1617 18 IV 2021 22 23 24 25' 26 27 23 29 30 31 32 3J 3435 36 37 33 39 40 41 42 4344 L_45_J 1 432104 18 8 13 19 13 15 13 24 17 2o 1615 15 25 34 15 30 7110 21 12 6 d 5 1 5 21 5 1 6 1 1 11 1 2 ^2 3. .^ L 1 ., 1332 32 < 21 26 29 24 33 15 3 1 ? ____.! _i_ A 5 2 131 69 210 275 341 8 95 196 247 6 iO 109 115 228 31 37 ? 9 17 27 19 13 10 443 3 5 1 1 3. . 1 1. . ? * ? * . 9 , ? . . ^ 9 ? * ? * ? ?. . . f . . * * * ? ? * ? ? ? * ? ? ? ? ? ? ? * * ?. . ? ?. . ? ? ? ? ? ?. . L ,, j?___ > 6 91 3981 :7ba 2117 7 3 3 _ 2 76 9 C7 6 68 3 1( _z t3 b6 03 I?* 15 31J4 12 2 2 -B__ . t>9 76 113 1 73 ' 1?5 25 13 1 .3 c>4 1280 74 95 5317 13 7 5 1 1 10 6 21 48 47%7 ' iV4to 22 t4 29 ?0 ?2 11 9 2 2 1 2 11 1 303-* i7 is 3325 9 5 3 L2 24 2633 24 9 7 1 2 1 13 13 2- 32 2 s?4 2< U7 1- 1 ' ?7 17 L6 Zl 2 1 6 1 2 .6 2 a a. 36 88 207 432 .5 116 226 334 )2 67 187 301 L5 40 81 105 25 51 104 134 LI 48 101 124 1 10 38 75 1 6 12 33 1 6 29 83 9 27 1 15 6 1. . 1 ? ?. . . 14 1 2 135 2 18 . 9 9 . . 8 ^ , 1 1 5 3 ? I _a 10. 11 i >3 543 796 3 692 731 0 974 907 1' 0 214 307 ! 3 429 455 2 281 360 ' 7 103 2013 52 48 8 141 422 63 26 6 10 4 1 112. 1 136 10 2 125 2 1 13 49 1 9 2 5 X_ .* * j L2 J3ro >7 i 52rs ?o 13 L4 5 13 877 i3 ! 26to 5 8d 14. 7 50 54 6 203 4 1 15 4 L3 J9 ' 7 7 3 3 16 6)1 . kl 12 d2 LI 327 >0 12I 1 Lu??*??.4 4 19 L9 3 ia - 1L2 6 2 20_ . 25 1 en TABLE 12 DISTRIBUTION OF TESTS AMONG REGIONS DEFINED BY EQUAL DIVISIONS OF THE RANGES OF 2 VARIABLES CONSIDERED SIMULTANEOUSLY THF TOTAL NUMBER OF TESTS IS 12473 THF SYMBOLIC NAMES CF THE VARIABLES AND THEIR RANGE DIVISIONS ARE: OIV. 1 2 3 4 5 6 7 8 } 10 11 12 1314 15 lo 17 IS 19 20 21 22 23 24 25 26 27 23 29 30 31 32 RANGE OF G G/S.SOCH 0.0 : 50.0001: ICO.001: 150.001: 200.001: 250.001: 300.001: 350.001: 400.001: 450.001: 500.OCl: 550.001: 600,001: 650.001: 700.001: 750.001: 800.001: 850.001: 900.001: S50.001: 1000.01: 1050.01: 1130.01: 1150.01: 1200.01: 1250.01: 1300.01: 1350.01: 1400.01: 1450.01: 1500.01: 1550.01: 50.0COC 100.000 150.CCO 200.000 250.COG 300.000 350.CCO 400.000 450.000 500.OCO 550.OCO 600.OCO 650.OCO 700.COC 750.OCO 800.CCO B50.000 900.OOC 950.OCO 1000.00 1050.OC 1 ICO.00 1150.OC 1200.00 1250.OC 1300.CO 1350.CC 1400.00 1450.OC 1500.CO 1550.00 1600.00 RANGE Of HEQO MM 2.00000: 5.00001: 8.C0001: 11.0001: 14.0001: 17.0001: 20.0001: 23.0001: 26.0001: 29.0001: 32.0001: 35.0001: 38.0001: 41.&001: 44.0001: 47.0001: 50.0001: 53.0001: 56.0001: 59.0001: 62.0001: 65.0001: 68.0001: 71.0C01: 74.0001: 77.0001: 80.0001: 83.0001: 5.00000 8.00COO 11.0000 14.0COO 17.0000 20.0000 23.0000 26.0000 29.0000 32.0000 35.0000 38.0000 41.0000 44.0003 47.0000 50.0COO 53.0000 56.0000 5V.OOOC 62.0300 65.0003 68.0000 71.0300 74.00CC 77.0000 80.0COO 83.0000 86.0000 en i TABLE 12 (CONTINUED) 1 lifJSD.J1 G_ 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 19 20 21 22 23 24 25 26 27 2U 29 30 31 l_~32_J 1:__. < 4 l__ .1 31 554 1< i7 2 1 1 *9 1 J4 t 15 Lt) . 17 . 7d 1 ., .2 ? 53 4iC 5< 27 8 L8 < 21 2 *6 220 J5JO 7 4 , j _3 A 82 91 2< !>0 6C8 2 J9 828 1 ;5 182 1. 59 646 C8 464 l< 19 29C d3 31 52 49 ? 3 29 L5 . 1 . 1 3 . ? ? ? . ? *. ?. ?. ? ? ? ? ? . .5 ? V7 323 : 51 518 'i6 60U ' 2J 192 I57 1C4 . 51 46 DO .=.9 20 iS 51 71 d 2 35 3 11 13 14. 3 1. -? -? JO 1 J4 < t9 39 ' >1 8 12 ?19 12 1 HI II I 1 1 .& s_ 11 . 155 17 36 Id ?2 3717 19 11 51 2 . 46 9 6 12512 * 20 44 9. 53 i_ J JLQ 11 ? l2__13_.14__J5__16__12__lfl_.13? 2D__21__ 22__23._24-_25._26__22._2fl_ 26 135 46 5 5 118 41 22 2 86 1 10 38 17 17 19 11 3 t.-_J 1196 4 . 32 20 b * 20 11 ? ? ? 8 ? ?17 3 35 13 20 27 9 . 1 . * * * ? ? ? ? ? ? ? * * 25 TABLE 13 DISTRIBUTION OF TESTS AMONG REGIONS DEFINED BY EQUALDIVISIONS OF THE RANGES OF 2 VARIABLES CONSIDERED SIMULTANEOUSLY THF TOTAL NUMBER OF TESTS IS 12469 THE SYMBOLIC NAMES CF THE VARIABLES AND THEIR RANGE DIVISIONS ARE: OIV. RANGE OF RODS RANGE OF G G/S.SOCM 1 2 3 4 5 67 a 9 10 11 12 13 14 1516 1718 1920 21 22 2J24 2526 27 28 29 30 31 3233 34 35 3637 C. 50000:1.50001: 2.50001: 3.50001: 4.50001: 5.50001: 6.50001: 7.50001: 8.50001: 9.50001: 10.5001: 11.5001: 12.5001: 13.5001: 14.5001: 15.5001: 16.5001: 17.5001: 18.5001: 19.5001: 20.5001:21.5001: 22.5001:23.5001: 24.5001:25.5001: 26.5001: 27.5001: 28.5001: 29.5001: 30.5001: 31.5001: 32.5001: 33.5001:34.5001: 35.5001: 36.5001: 1 . 500002.50000 3.50000 4.5000C 5.5000C 6.50000 7.50COC 8.500CC 9.5000C 10.5000 11.5000 12.5000 13.5000 14.5GOC 15.500C16.5000 17.50CO18.5000 19.5CCO20.5000 21.5000 22.5COC 23.5CCO24.5000 25.500026.500C 27.50CO 28.5000 29.50CO 30.5000 31.5000 32.500C 33.5000 34.5000 35.5000 36.5030 37.5000 0.0 :50.0001: 100. 001: 150.001: 200.001: 250.001: 300.001: 350.001: 400.001: 450.001: 500.001: 550.001: 600.001: 650.001: 700.001:750.001: 800.001:850.001: 900.001: 950.001: 1000.01:1050.01: 1100.01:1150.01: 1200.01:1250.01: 1300.01: 1350.01: 1400.01: 1450.01: 50.0000100.000 150.000 200.000 250.000 300.000 350.000 400.000 450.000 500.000 550.000 600.000 650.000700.000 750.000 800.000 850.000 900.000 950.0001000.00 1050.00 1100.00 1150.001200.00 1250.00 1300.00 1350.00 1400.09 1450.00 1500.00 00 9 ot ? M 6 81 ' 11 \ fl ' 9< i ' 21 Ot ' I< r ii r 02 51 ' 61 0^ 01 ,1 1 r JL1 91 51 1 ? ? ? ? ? I ' IT boi si? t*mr 5*5T:z$ B< ? I ? 6 f 9E 9 65 V* ZI i? 91 ? II 6 ?5 ? 9 1Z1 Z8 91 UZ 1C? LI C ? t 8 * I> 91 SI 651 Z*l SL fZS 00^ fll ? Z It Ob ZI *S 9*- 6Z 9P *IZ ZPT 6( IBZiS ? It * * 9 Q ' ? i ts cv 6 LB 59 evi ?zz rp?7 ees zt ? ? - -I - fi? ZZ ^ OtZ ZOI ^ir 09Z 9J ? 1 51 ' * /S ZS 9i 1Z1 661 Si ? 8 ZI 001 iC 5*1 691 85? 66 P97 9/1 ?{ r f T cr ?T~rr or-5~-B-T 9-5-^ r r T .1ie n t ?z ;9 . .5 > r rr i 9t SF *fte ?i IE OC 6Z HZ J.Z 9Z SZ VZ EZ (.2 IZ 61 HI /I 91 bl VI tl II 01 fr ^99 t i I -COO?rg ? ei 3iavi TABLE 14 DISTRIBUTION OF TESTS AMONG REGIONS DEFINED BY EQUALDIVISIONS OF THE RANGES OF 2 VARIABLES CONSIDERED SIMULTANEOUSLY THF TOTAL NUMBER OF TESTS IS 12473 THE SYMBOLIC NAMES OF THE VARIABLES AND THEIR RANGE DIVISIONS ARE* ;IV. RANGE OF RODS RANGE OF P MPA 1 2 34 5 6 7 8 9 10 11 12 13 I* 1516 17 1319 20 2122 2324 25 2627 2829 30 31 3233 3435 3637 0.50000: 1.50001: 2.50C01: 3.50001: 4.50001:5.50001: 6.50001:7.50001: 8.50001: 9.50001: 10.5001: 11.5001: 12.5001:13.5301: 14.5001:15.5001: 16.5001: 17.5001:18.5001: 19.5001: 20.5001: 21.5001: 22.5001: 23.5001: 24.5001: 25.5001:26.5001: 27.5001: 28.5001: 29.5001: 30.5001: 31.5001: 32.5001: 33.5001:34.5001: 35.5001:36.5001: 1.50000 2. 5000 C 3.5000C4.50COC 5.50COO6.5000C 7.50COC 8.50000 9.50COC 10.5000 11.50GC 12.5000 13.500014.5000 15.5COC 16.5COC 17.50CO 18.5COO19.5000 20.5COO 21.5000 22.5000 23.5000 24.500025.5COO 26.500027.5000 28.500029.5000 30.500C 31.5000 32.500033.5000 34.500035.50CO 36.500C37.5000 0.0 : 1.00001: 2.00001:3.00001: 4.00001:5.00001: 6.00001: 7.00001: 8.00001: 9.00001: 10.0001: 11.0001: 12.0001:13.0001: 14.0001:15.0001: 16.0001: 17.0001: 1.00000 2.00000 3.00000 4.00000 5.000006.00000 7.000008.00000 9.00000 10.0000 11.000012.0000 13.000014.0000 15.000016.3000 17.0000 18.0000 00o I TABLE 14 (CONTINUED) 11 ?_. l" 2 3 6 7 3 9 10 11 12 13 14 15 10 17 18 19 23 21 22 23 24 25 26 27 2S 24 30 31 32 34 i 351 36 L__32_J 1 1 _2 404 ? ?125 157 1 2<3 55 ? ? ? ?4c3 12 ' ? * ? * ? * ? ? ? ? ? * ? ? ? * ? ? ? * ? * ? * * * ? ? ? ? ? * ? ?21 ? ? * ? ? ? * ? ? * ? ?? ? ? * ? ? ?L * .. J .3 4 5 _ 7 . I' 891 259 114 ? ? ? 11 14 ?4 159 Ii8 3 ? ? ? 5 39 I' ? ? ? ? ? ? ? ? ? ? ? ? ? ? * 19 ' ? ? * ? ? ? 1 245 65 7 7 2. . ? ?. . ? ?? ? . . ? ? ? ?? ? ? ?? ? ? . ? ?. . L7. ... 52.. ft 30 ..6 .6 2 fl 53 575 133 ;4 49 38 65 59 74 10 577 238 97 U 465 79 l< ? * ? ? * ? ! ? * * 4 ? * ? ? * * ?2 493 21 I ? ? ? ? ? ?L6 475 15 2 4 . 2i4 11 * * . . ? ? . 9 9 * ? ? ? ?. . . . . . ? 0 m . . * ?3_ 5B2- 1 9 ifl ii_ iz u 14 15 16 12 _ 18 26 156 17 9 76 *> 1 178 . 30 34 16 127 10 . 51 . . 3 ....?????????. 33 . 59 57 ????*?***? 28 93 98 18 94 335 56 232 129 >......... >. T. ...... 51 ......... ????:?????? ????????*? ???*?????* L3 . 54 1 30 1 89 55 I >...*............... 14 . 20 ....... J8 3 90 . 52J ....9 . 45 ....... ......... .5 .... 13 9 41 7o 62 1 . ...A..... ......... . .... 6.... ......... . . ***?????? ? *??????? ? ???????? TABLE 15 DISTRIBUTION OF TESTS AMONG REGIONS DEFINED BY EQUALDIVISIONS OF THE RANGES OF 2 VARIABLES CONSIDERED SIMULTANEOUSLY THE TOTAL NUMBER OF TESTS IS 12473 THE SYMBOLIC NAMES CF THE VARIABLES AND THEIR RANGE DIVISIONS ARE: OIV. RANGE OF RODS RANGE OF HEOD MM 1 2 3 45 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 2128 2930 21 32 33 34 35 36 37 0.50000: 1.50001: 2.50001: 3.50001: 4.50001: 5.50001: 6.50001: 7.500CI: 8.50001: S.500C1: 10.5001: 11.5001: 12.5001: 13.5001: 14.5001: 15.5001: 16.5001: 17.5001: 18.5001: 19.5001: 20.5001: 21.5001: 22.5001: 23.5001: 24.5001: 25.5001: 26.5001: 27.5001: 28.5001: 29.5001: 30.5001: 31.5001: 32.5001: 33.5001: 34.5001: 35.5001: 36.5001: 1.5000C 2.50000 3.5COOC 4.5000C 5.50CCC 0.500CC 7.50000 8.5000C 9.500CC10.5CCC 11.5GCO 12.5000 13.500C 14.5000 15.5000 16.5000 17.500C 18.50CO 19.5000 20.5000 21.5COO 22.50CC 23.5000 24.500C 25.5COO 26.5COC 27.50CC 28.5000 29.5COO 30.500C 31.5000 32.5000 33.5000 34.5000 35.5000 36.5000 37.5000 2.00000: 6.00001: 10.0001: 14.0001:13.0001: 22.0001: 26.0001: 30.0001: 34.0001: 38.0001: 42.0001: 46.0001: 50.0001: 54.0001: 58.0001: 62.0001: 66.0001: 70.0001: 74.0001: 78.0001: 82.0001: 6.00000 10.3000 14.0000 18.0000 22.0000 26.0000 30.0000 34.00CO 33.0000 42.0000 46.0009 5C.OOOO 54.0000 58.3000 62.0COO 66.0000 70.0000 74.0000 78.0000 82.0000 86.0000 03ro L TABLE 15 (CONTINUED) 1 1B?QD-1 1 2 3- 4_ 5 6 JZ 8 lEJQDS. 1 2 3 4 5 6 7 3 V 10 11 12 13 14 16 17 Id 19 20 21 22 23 24 2t> 26 27 28 2-? 30 31 32 33 34 3536 71 94 73C 109 178 48 30415 10 B8 199 3fld 153 98 13 147 S3 45 4 ? ? * 3 ? ?21 82 746 455 18 198 66 ? ? ? * * ?2 651 ?75 718 122 .....? .... 51 .... ? ? ? * * * ? ? ? ? II. 325 499 ? ? * ? ? ? ? ? * ?. 1510 230 11 294 515 . . 103 ? ? 11 oO ?? ? ? * ? * * ? ? ?* 5 * ? ? 21 202 ? ? ? ? * ? <*??? ? ? ? ? ? 6 ? ? ? ? ? ? ? * * ? ? ? i ? ? ? ? ? * ? ? ? ? * * ? * ? ? ? ? ? ? * ? ? ? ? ? 4 1 32_1 * 265_1?2J ? _ *_ ? . __ 9 1& ?..J UJ 1 6 U 13 99 2 12 ? i 20 23 9 29 13 23 9 39 L4 JL5 16 U _. 8 ia j 3 >2 IS ,2J3 -jn 5 . 1 1 I CD CO TABLE 16 DISTRIBUTION OF TESTS AMONG REGIONS DEFINED BY EQUALDIVISIONS OF THE RANGES OF 2 VARIABLES CONSIDERED SIMULTANEOUSLY THE TOTAL NUMBER OF TESTS IS 12473 THE SYMBOLIC NAMES CF THE VARIABLES AND THEIR RANGE DIVISIONS ARE: CIV. KANGE OF RUIA MM RANGE OF HEOD MM 1 2 34 5 6 7 8 9 10 11 12 13 1415 16 17 18 19 20 21 2223 24 25 26 27 C.O : 2.00001: 4.00001: 6.00001: 8.0C001: 10.0C01: 12.0001: 14.0001: 16.0001: 18.0001: 2C.0001: 22.0001: 24.0001: 26.0001: 28.0001: 30.0001: 32.0001: 34.C001: 36.0001: 38.0001: 4C.C001: 42.0001: 44.0001: 46.0001: 48.0001: 50.0001: ?2.0001: 2.COOCC 4.COCCC 6.0COCC 8.COOCC 10.0CCC 12.0CJO 14.0000 16.COOC 18.0CGC 20.00CC 22.COOO 24.0COC 26.0COC 28.PCCC 30.00CO 32.0COO 34.00CC 36.000C 38.0000 40.0COO 42.0000 44.00CC 46.000C 48.00CC 50.00CC 52.00CO 54.0COO 2.00000: 6.C0001: 10.0001: 14.0001: 18.0001: 22.0001: 26.0001: 30.0001: 34.0001: 38.0001: 42.0001: 46.0001: 50.0001: 54.0001: 53.0001: 62.0001: 66.0001: 70.0001: 74.0001: 73.0001: 82.0001: 6.00000 10.0000 14.0000 18.0000 22.0000 26.0000 30.0000 34.0000 38.0000 42.0000 46.0000 50.0000 54.0300 58.0000 62.0000 66.0000 70.0000 74.0000 78.0000 82.0000 86.0000 00 TABLE 16 (CONTINUED) 1 ii)?UD_J IBDJLA.I 34 5 6 7 8 9 1C 11 12 13 14 15 16 17la 19 20 21 22 23 24 25 26 1 1 2 3456 .L 197 123 120 515 . 19 87 224 268 152 78 13 51 163 841 1100 406 223 64 62 454 25 18 150 146 304 71 245 2296 1C8 1046 271 180 1476. . . ? ? ? ? ? * ? 9 ? ? ? ^1__22_1 *__ *_ _ . 95 4 22 . - .10 11 12 L3 14 15 16 II IS IS 2Q 21_i__ 0 49 I 6 1 ( 6 ? ? ? ? L3 )9 ?2 ? *23 9 2 39 * * ? ? ? ? * * ? ? ? 8 3 2 5 , TABLE 17 DISTRIBUTION OF TESTS AMONG REGIONS DEFINED BY EQUALDIVISIONS OF THE RANGES OF 2 VARIABLES CONSIDERED SIMULTANEOUSLY THE TOTAL NUMBER OF TESTS IS 12473 THF SYMBOLIC NAMES OF THE VARIABLES AND THEIR RANGE DIVISIONS ARE: CIV. RANGE OF QBAV M/SQ.CM RANGE OF XBO 1 2 3 4 56 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 2223 24 2526 27 2829 30 31 3233 3435 3637 0.0 : 50.0000 50.0001: 100. 15C. 200.250. 300. 350. 400. 450. 500. 550. 6CO. 650. 700. 750. 001:OCl: 001:001: 001: 001: 001: 001: 001: 001: 001: 001: 001: 001: 800.001: 850. 900. 950. 1000 1050 1100 001: 001: 001: .01: .01: .01: 1150.01: 1200 1250 1300 1350 1400 1450 1500 1550 1600 16501700 1750 1800 .01: .01: .01: .01: .01: .01: .01: .01: .01: .01: .01: .01: .01: 100. 150. 200. 250.300. 350. 400. 450. 500. 550. 600. 650. 700. 750. 800. 850. VOO. 950. 1000 1050 1100 1150 1200 1250 1300 1350 1400 1450 1500 1550 1600 1650 17001750 1800 1850 000 CCOCOO OCCOCC OOC OCC000 OCC ooc CCO CCOcoo ccc CCO000 ccc000 .00 .oc.oc .oc.oc .oc .00.CO .oc.oc .oc .oc .00.oc .00 .00 .00.00 -0. -0. -0. -0. -0.0. 0. 0.0. 0. 0.0. 0. 0. 0. 50000: -0 39999:-0 29999:-0 .40000 .30000 .20000 19999:-0.100CO 09999:-00000 l: 10001: 2C001: 30001: 40001: 50001: 60001: 70001: 80001: 90001: 0 00 0 0 00 00 1 .00000 .10000 .20000 .30000 .40000 .50000 .60000 .70000 .80000 .90000 .00000 CIV. 38 39 40 41 42 43 44 45 RANGE OP QBAV W/SO.CM 1650.01: 1900.01: 1950.01: 2000.01: 2050.01: 2100.01: 2150.01: 2200.01: 1900.00 1950.00 2000.00 2050.00 2100.00 2150.00 2200.00 2250.00 00cn TABLE 17 (CONTINUED) ?BD_. 12 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 I'-i 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 A5_J 1L .1 _ 2 3 ? 22 2 31 12 2 *2 31 ^.. ^,_ ,3., 4 .? ,5 2 5 11 25 1 6 18 377 11 41 71 1 7 13 52 127 3 5 25 53 124 36 25 35 114 11 7 16 30 66 <5 9 13 25 ' 4 6 10 372 . 17 33 5 6 5 2J 3 2 5 323 11 10 1 9 101 4 11 1 2 2 261 4 30 2 1 4 1013 17 54 177 3 0 15 7 55 1 6 24 1 1 1 3 11 1 1 3 2 1 6 1 1 11 11 1 1 3 2 1 2 ? 0 ? *. . , _ . l_ .6 30?9 1. itt 4 25 4L7 2 36 1 33 l ?5 36 16 2 Jt 3437 5 55 <9 L2 4 75 2 34 S.6 27 L7 8 _J 72 1 11 7 51 7< 97 2< 22 50 7 .a 18 2 76 7< ?9 4 i6 J8 7 IQ 71 3 JO 5 37 1' 36 1 U LO 21 21 3< ?4 < 4 12 33 2< S9 iO 7 13 E?3 1<37 22 i>6 1 2 15_. SO 1 ,1 1L_ L 00 TABLE 18 DISTRIBUTION OF TESTS AMONG REGIONS DEFINED BY PERCENTILE DIVISIONS OF THE RANGES OF 2 VARIABLES CONSIDERED SIMULTANEOUSLY THE TOTAL NUMBER OF TESTS IS 12473 THE SYMBOLIC NAMES CF THE VARIABLES AND THEIR RANGE DIVISIONS ARE: CIV. I 2 3 ^5 6 7 3 9 10 1 1 1 fi_J I_ 1 B_J1 2 3 4 5 6 7 a 655 275 60 4 40 70 54 53L j. RANGE OF P MPA 0.0 : 3.C35CO 3.03501: 4.995CC 4.99501: 5.8580C 5.85801: 6.80620 6.80621: 6.926CO 6.92601: 8.376CC 8.37601: 13.6999 13.7000: 17.040C 2 2 *_ 116 278 186 20 151 162 190 141 12 183 89 130 437 174 76 141 131 138 242 42 219 162 258 83 RANGE OF G G/S.SOCM 0.0 : 30.3500 30.3501: 58.5009 58.5001: 70.3100 70.3101: 101.970 101.971: 135.210 135.211: 140.700 140.701: 202.300 202.301: 237.320 237.321: 337.600 337.601: 1557.00 5 S> 1 fl. 42 175 324 85 243 190 70 98 11 192 92 171 364 179 91 170 83 99 167 76 286 172 216 145 1 134 244 147 189 149 212 174 1 3 1Q_I 67 65 116 155 223 196 159 267 415 3 36 59 99 152 185 298 0000 TABLE 19 DISTRIBUTION OF TESfS AMONG REGIONS DEFINED BY PERCENTILEDIVISIONS OF THE RANGES OF 2 VARIABLES CONSIDERED SIMULTANEOUSLY THF TOTAL NUMBER OF TESTS IS 12473 THE SYMBOLIC NAMES CF THE VARIABLES AND THEIR RANGE DIVISIONS ARE: OIV. RANGE OF OBG W/SO.CM RANGE OF G G/S.SQCM 1 2 3 4 5 6 7a 9 10 1 I 1 car" i ~~~ ~~i? WnL . 2 3 4 5 6 7 8 9 10 574 180 28 161 41 75 30 74 41 47 C.O : 44.7501: 71.1561: 88.9601: 1C6.321: 125.373: 149.841: 177.632: 215.801: 2S7.201: 44.7500 71.1560 88.9600 106.320 125.372 149.840 177.631 215. 80C 297.200 2221.00 2 3 A_ 260 2C8 127 171 141 112 86 49 22 58 82 188 354 112 89 144 147 103 24 4 73 166 11V 113 123 143 153 156 104 95 O.C : 3C.3500 30.3501: 58.5000 58.5001: 70.3100 70.3101: 101.970 101.971: 135.210 135.211: 140.700 140.701: 202.300 202.301: 237.320 237.321: 337.600 337.601: 1557.00 5 6 1 S 3 10_ 83 175 161 145 109 97 123 135 123 76 73 97 160 217 253 116 94 132 110 18 37 70 149 107 102 87 137 191 249 115 30 81 97 130 229 207 141 111 132 92 26 62 40 72 123 218 212 171 184 140 9 21 12 19 38 48 124 128 246 602 0010 TABLE 20 DISTRIBUTION OF TESTS AMONG REGIONS DEFINED BY PERCENTILE DIVISIONS OF THE RANGES OF 2 VARIABLES CONSIDERED SIMULTANEOUSLY THE TOTAL NUMBER OF TESTS IS 12473 THE SYMBOLIC NAMES CF THE VARIABLES AND THEIR RANGE DIVISIONS ARE: DIV. RANGE OF XBC RANGE OF G/S.SUCM 1 2 3 4 5 6 7a 9 10 i 1i __?_! -1 - 1 HL-.I 2 3 4 5 6 7 8 9 10 I 21 19 38 73 62 50 82 198 301 407 , -C.50000:-0. 03820 -0.03819: 0.08035 C. 08036: 0.168S7 0.16898: 0.22790 0.22791: 0.28198 C. 23199: 0.3409C 0.34091: 0.40477 0.40478: 0.48075 C. 48076: 0.60150 C. 60151: 1.00000 2 3 ft . 34 37 51 32 40 64 118 168 2?5 365 20 32 39 62 86 122 193 224 186 283 80 75 129 89 159 138 164 110 217 84 0.0 : 30.3500 30.3501: 58.5000 58.5001: 70.3100 70.3101: 101.970 101.971: 135.210 135.211: 140.700 140.701: 202.300 202.301: 237.320 237.321: 337.600 337.601: 1557.00 5 b 7 fl 9 _ 30 75 118 109 149 201 174 166 155 50 53 89 150 114 114 168 243 269 50 20 129 217 201 158 134 94 173 87 34 17 140 145 140 132 254 322 87 21 8 1 157 254 210 319 231 60 11 4 2 ? . 13 583 305 171 159 19 8 2 . . ? 10o TABLE 21 DISTRIBUTION OF TESTS AMONG REGIONS DEFINED BY PERCENTILEDIVISIONS OF THE RANGES OF 2 VARIABLES CONSIDERED SIMULTANEOUSLY THE TOTAL NUMBER OF TESTS IS 12*73 T>F SYMBOLIC NAMES CF THE VARIABLES AND THEIR RANGE DIVISIONS ARE: OIV. RANGE OF XIN RANGE OF G G/S.SQCM 12 34 56 78 910 G_, 1-JLLft-J1 2 3 4 5 6 7 8 9 10 1_ 80 177 177 111 86 39 45 221 276 39 -1.-0. -0.-C. -0.-0. -0.-c. -0.-0. 2_ 231 137 172 146 135 75 99 67 110 72 10000:-0. 37750 37749:-0. 2593025929:-0. 19883 19882:-0. 1621516214:-0. 13153 13152:-0. 0991009909:-0. 06329 068?8:-0. 04037040 36: -0.0 I CCO 00999: 0.900GC 3_ 159 133 123 156 129 135 127 97 118 70 4 127 137 100 115 87 75 114 95 147 248 0.0 : 30.350030.3501: 58.5000 58.5001: 7G.310070.3101: 101.970 101.971: 135.210135.211: 140.700 140.701: 202.300202.301: 237.320 237.32U 337. 600337.601: 1557.03 5 fi 2 fl a JQ_ 16 56 106 109 120 130 146 94 142 248 138 102 94 132 153 187 148 123 99 94 141 113 101 83 100 124 137 123 125 197 119 94 87 105 105 190 167 145 84 154 120 125 107 88 118 133 174 191 104 88 56 174 180 202 215 15V 90 91 45 35 TABLE 22 DISTRIBUTION OF TESTS AMONG REGIONS DEFINED BY PERCENTILEDIVISIONS OF THE RANGES OF 2 VARIABLES CONSIDERED SIMULTANEOUSLY THP TOTAL NUMBER OF TESTS IS 12473 THE SYMBOLIC NAMES CF THE VARIABLES AND THEIR RANGE DIVISIONS ARE: OIV. RANGE OF HEOO MM RANGE OF G/S.SQCM 1 2 3 4 5 6 7 3 9 10 I J_^_C_JIhJdfl-J 1 2 3 4 5 6 7 8 9 10 2.70000: 7.60001: 9.35001: 10.1001: 12.2501: 13.4201: 13.8001: 17.2001: 19.0001: 25.6001: 7.60000 9.35000 10.1COO 12.2500 13.42CC 13.8000 17.2000 19.0000 25.60CC 86.00CO ^?^ .2 34 I 480 25 124 . 1 36 118 129 78 260 S3 122 210 ?3 14 79 189 139 174 171 66 211 22 62 199 163 45 197 204 78 90 62 207 111 106 78 149 144 188 110 0.0 : 30.3500 30.3501: 58.5000 58.5001: 70.3100 70.3101: 101.970 101.971: 135.210 135.211: 140.700 140.701: 202.300 202.301: 237.320 237.321: 337.600 337.601: 1557.00 5_, 6 1 _fl S 13 49 132 233 222 57 70 89 115 168 92 82 235 50 118 215 222 47 113 173 15 90 121 160 113 123 44 160 158 146 129 81 122 132 236 213 2C5 80 50 79 52 93 134 56 235 177 269 183 49 21 31 112 97 14 91 28 176 243 155 43 233 10ro TABLE 23 DISTRIBUTION OF TESTS AMONG REGIONS DEFINED BY PERCENTILEDIVISIONS OF THE RANGES OF 2 VARIABLES CONSIDERED SIMULTANEOUSLY THE TOTAL NUMBER OF TESTS IS 12473 THE SYMBOLIC NAMES CF THE VARIABLES AND THEIR RANGE DIVISIONS ARE: DIV. RANGE OF XBC RANGE OF OBAV rt/SO.CM 1 2 3 4 5 6 7 3 9 10 1 1 i 2 3 4 5 6 7 8 9 10 22 32 25 19 25 32 54 125 291 621 -0.50000:-0. 03820 -C. 03819: O.C8035 C.OdC36: 0.16897 0.1&89d: 3.22790 0.22791: 0.28198 C. 28199: 0.34090 C. 34091: 0.40477 C. 40478: 0.48075 0.48076: 0.60150 0.60151: l.OOGCO 2 3 &_. 21 18 25 49 74 ?5 128 239 366 244 12 22 31 55 83 129 225 207 252 231 20 59 39 93 129 2C9 227 257 147 68 O.C : 41.7500 41.7501: 65.4750 65.4751: 81.8300 81.8301: 100.520 100.521: 117.950 117.951: 136.840 136.841: 166.247 166.248: 203.090 203.091: 277.200 277.201: 2221.00 5 6_ 28 42 75 118 170 200 271 191 97 55 43 58 100 239 255 254 132 95 51 20 2 6 3 1Q. 52 119 251 232 166 151 121 107 38 8 118 248 238 177 216 133 82 26 6 ? 206 725 375 275 267 196 230 35 117 13 46 t 7 ? * * ? (A) TABLE 24 DISTRIBUTION OF TESTS AMONG REGIONS DEFINED BY PERCENTILE DIVISIONS OF THE RANGES OF 2 VARIABLES CONSIDERED SIMULTANEOUSLY THE TOTAL NUMBER OF TESTS IS 12473 THF SYMBOLIC NAMES CF THE VARIABLES AND THEIR RANGE DIVISIONS ARE' 01V. RANGE OF BC X100G RANGE OF XBO 1 2 3 4 56 7 8 9 10 0.3 : 0.26001: C. 35401: 0.44526: 0.54641: 0.68061: C. 84061: 1.06751: 1.41601: 2.29601: 0.26GOO 0.35400 0.44525 0.5464C 0.63060 0.84060 1.06750 1.41600 2.296CO 17.2000 -0.50000:-0. 03820 -0.03819: 0.08035 0.08036: 0.168S7 0.16898: 0.22790 0.22791: 0.28198 0.28199: 0.34090 0.34091: 0.40477 0.40478: 0.48075 0.48C76: 0.60150 0.60151: 1.00000 1 1 i-JSBD-i J 2 3. 4_.1 BC 1 2 3 4 5 6 7 8 9 10 1 53 80 110 184 138 140 167 151 109 115 41 72 94 14d 157 155 181 141 124 55 69 72 120 141 129 155 191 136 153 81 230 207 49 100 102 91 129 119 85 95 5 ft 1_. 172 177 141 260 95 55 86 116 145 137 109 73 169 226 76 64 97 115 129 123 71 121 185 148 87 91 101 150 136 87 a a_. 138 113 67 124 217 61 92 90 135 119 204 123 110 99 129 62 74 64 194 280 1Q_ 113 77 94 79 255 208 54 85 96 Id6 TABLE 25 DISTRIBUTION OF TESTS AMONG REGIONS DEFINED BY PERCENTILE DIVISIONS OF THE RANGES OF 2 VARIABLES CONSIDERED SIMULTANEOUSLY THF TOTAL NUMBER OF TESTS IS 12473 ThE SYMBOLIC NAMES OF THE VARIABLES AND THEIR RANGE DIVISIONS ARE: OIV. RANGE OF 80 X10CO RANGE OF L/0 1 2 3 4 5 6 7 8 9 10 1 1 l__fl?_J1 2 3 4 5 6 7 8 9 10 I 41 66 69 120 65 63 139 153 2o5 404 C 0 0 C 0 C C 1 1 2 .0 : .26001: .35401: .44526: .54641: .66061: .84061: .06751: .41601: .29601: 0 0 0 0 0 0 1 1 2 ? ? ? ? ? * ? ? ? 17 26000 35400 44525 5464C 6806C 8406C 06750 4160C 2960C .20CC 2.00000: 31. 31.6001 50.0001 94.5001 118. 146. 196. 271. 310. 001 001 : 58.: 94. : 118: 146 : 196 001: 271 001: 310001: 767 2 3456 35 2G 42 53 56 91 S6 138 145 6t5 115 42 4V 60 90 137 207 223 288 130 13 38 55 27 19 94 70 202 108 173 245 258 277 285 361 200 336 34 141 10 19 92 148 1V2 237 217 193 141 70 4 6000 0000 50CO .000 .000 .000 .000 .000 .000 11 a 9 I 215 353 222 164 161 93 45 31 3 ^ 68 714 209 409 348 220 305 81 200 d6 182 13 3 2 ? -. . 10en TABLE 26 DISTRIBUTION OF TESTS AMONG REGIONS DEFINED BY PERCENTILE DIVISIONS OF THE RANGES OF 2 VARIABLES CONSIDERED SIMULTANEOUSLY THE TOTAL NUMBER OF TESTS IS 12473 THE SYMBOLIC NAMES CF THE VARIABLES AND THEIR RANGE DIVISIONS ARE: OIV. RANGE OF BC X1000 RANGE OF HE 1 2 3 4 5 6 7 89 10 1 1 I aft i1 2 3 4 5 6 7 8 9 10 10 20 19 15 51 44 31 53 10 a 891 0.0 : 0.260CC 0.0 : 628.300 0.26001: 0.35400 628.301: 1721.00 0.35401: 0.44525 1721.01: 3373. CO 0.44526: 0.54640 3373.01: 4764.20 0.54641: 0.6BC60 4764.21: 6296.50 0.68061: 0.84060 6296.51: 8990.00 0.84061: 1.06750 8990.01: 12360.0 1.06751: 1.41600 12360.1: 16099.0 1.41601: 2.2960C 16099.1: 25660.0 2.29601: 17.2000 25660.1: 179000. __2 3 ^ 5 b 56 24 21 33 96 69 1C6 140 3S7 304 59 17 40 50 119 123 164 243 392 40 48 24 71 120 131 147 182 332 187 5 92 82 127 106 206 258 130 175 69 3 93 137 146 109 110 156 257 177 59 3 i a a ia_ 154 178 1U9 123 149 167 188 65 33 1 220 195 180 345 110 96 74 26 1 ? 263 223 267 181 124 90 76 22 2 ? 252 348 187 165 150 97 39 9 . * to 97 NOTE As Tables 27 to 29 each occupy two pages and are to be read in conjunction,the first of these commences on page 98. TABLE 27 DISTRIBUTION OF TESTS AMONG REGIONS DEFINED BY PERCENTILEDIVISIONS OF THE RANGES OF 4 VARIABLES CONSIDERED SIMULTANEOUSLY OIV. 1 2 3 4 5 67 6 THE TOTAL NUMBER OF TESTS IS 12473 THE SYMBOLIC NAMES CF THE VARIABLES At. RANGE CF XIN -l.lOOOOt-C.25930 -0.25929J-0.16215 -0.16214:-O.C9?10 -C.099C9:-O.C4037 -0.04C36: C.90COO RANGE OF G G/S.SQCH C.O : 58.5000 58.5001: 101.970 101.971.: 140.700 140.701: 237.320 237.32U 1557.OC THEIR RANGE DIVISIONS ARE: RANGE OF P RANGE OF HEQO HP A MM 0.0 : 3.03501: 4.99501: 5.85801: 6.80621: 6.92601: 8.37601: 13.7000: 3.03500 4.99500 5.85800 6.80620 6.92600 8.37600 13.6999 17.0400 2.70000: 9.35000 9.35001: 12.2500 12.2501: 13.8001: 19.0001: 13.8000 19.0000 86.0000 TABLE 27 (CONTINUED) 1~ 11 2 1 3 I 4 l^ ,^5^. 2 I2 2 2 37 4 2_ 5_3 j * 2 "? 3 3 4 3__ 5_ 4 1 4 2 4 3 4 A _4 , 5 J 5 i 5 2 5 3 5 4___5 5_J 6 1 6 2 6 3 6 A __6 S_J7 1 7 2 7 3 7 4 2__ 5_J 8 1 8 2a 3 8 4 1 8 5_J I _2 _3_ A 5_J I 361.. 2 3 ... 4 ... 202 2 I . 1 L_222 i J 2 . J 14 8 14 8 . 12 17 43 26 1 4 7 20 49 1 L 3?34?23 22_ 3_J 5 a 8 4 1 3758 4 4 10 8 6 L 3 11 22 22 13_J . . 1 . . 4 . . . 644 5 10 3 L ... A 1 3 lfl_J 8 14 7 12 13 3 11 15 9 10 i 8 7 11 8 5 13 8 20 7 3? 2J3? IS 3fl ia_J 32 52 50 17 40 1 6 11 9 26 18 35 42 16 69 3 10 14 6 35 * -12 12 _12 JJLJ 11 13 7 4 5 11 13 14 7 20 31132 3 . 1 . 2 2- _1_ 4 2_J ?3 70 94 45 80 32127 18 19 27 17 24 ... 2 ? L-_ 4 l 3 - ? ? ? ? _, ,1 2 34 _.?_?. ? ? ? *?p 3 ... 1 ... 27 12 16 2 29 10 23 3 33 12 29 12 | 35 30 40 53 13 31 35 43 74 2o 39 33 48 66 33 I A6__fi?_112_l 3 Z 44_J . 111. 4 7 12 54 4 4 14 6 10 3 6 9 4 11 | 5 3 ,a A 3_j 6922 5 19 33 41 37 2 9 21 27 27 8 21 17 28 .l-.^-.S^JLfr?^ IJU^ 12 4 3 1 5 10 23 32 41 7 4 15 22 37 6 9 28 30 29 _6 13 56 34 16_J 31 13 2 57 10 8 . 96 44183 36233??? ^_J &? a . J 76252 65131 21. 3 . 1121 2 - 2 2 - ^1_^ 2 .3,-._4^ _5^ ? ? ? ? ? 4 . 21 184. 1 U_5 _1$_,,^ ,12 _5_ . . 3 . . 14 4 . 24 41 23 . 28 38 43 49 L A 3 lfl_ 4 J_j .... . 1 ... 7 3 . 4314 L *_ * _i__* 3-J 3 5 ... 1 35 31 8 . . 44 63 57 20 43 57 75 122 I 1 11 11- 13 25-J 1231. 4 56 26 10 2 1 48 45 43 30 2 46 42 54 86 I _2 LZ Id 12 ia_J1 . 2 .221 1 . 234 L 16 31 22?15 21_J 11 23 11 48 13 i 2 8 IB 23 3 3 6 4 Id 4 4 4 9 20 2 14 2 9 5 36 30 54 62 51 12 9 15 18 45 7 10 8 12 22 10 10 10 15 33 _ . . . - . I 1 _2 3 4 5.J 12 . . 1 16 73 . . . 71 30 3 12 12 382 5 16 11 18 12 AJL ? _ 34 24 J 76 .... 78 16 1 . 1 18554 24.. * 4 2 4 2 J 13 14 4 . . 6 12 7 . 4 8 14 . 4 3 12 1 1 L _2 ? S - ? J 21.. 11.. .. 1 JL_ 1 2_J 21 44 18 3 . 15 44 50 13 1 12 18 29 16 4 17 37 39 36 7 L 4__22? 3fl 13 4_J 38 20 2 20 2 24 15 5 20 2 20 18 6 17 2 27 11 2 18 2 1 1 2 JL .. _?? J 32 46 17 66 47 22 27 17 37 63 6 11 12 17 46 4 14 3 11 19 L 1 5 i 4 1_J 14 40 33 63 144 1 10 3 11 79 3 7 8 13 28 1 2 .? A? .?___.?___ A? ?A? J 5333 L _J 2 3 4 5_ 15 .. .2294 4 . . 94 5S . 160 932 1 11 L? 1.3? 12__12? 1 1__-__J 82 15 3 1 . 103 21 13 1 . 28 11 10 . 19 22 10 . 11 2a 33 Ifl * J 28 13 2 . . 692. 1572. 5 10 9 4 . 13 23 4.1 2S * J . . 1 . . 233. 2298. 385. L 1_ 2_ 3 4 *? J 26 36 16 1C . 21 38 30 14 . 12 22 27 11 . 13 39 28 22 . 6__52^_50__3? B.J 18 25 15 3 . 3 15 14 3 . 2 10 16 12 . 4 9 14 20 1 __ * 11 11 !__*? J 39 45 7 64 7 12 23 10 28 1'J 10 15 7 31 7 7 12 6 11 8 J _24 _14 IS 2.J5 . 3 31 23 2 . . ? 6 18 2 1 51 1 . L 3_* 2 1? *? J *?? vo TABLE 28 DISTRIBUTION OF TESTS AMONG REGIONS DEFINED BY PERCENTILEDIVISIONS OF THE RANGES OF 4 VARIABLES CONSIDERED SIMULTANEOUSLY DIV. 1 2 34 56 7 8 THF TOTAL NUMBER OF TESTS IS 12473 THE SYMBOLIC NAMES OF THE VARIABLES AND THEIR RANGE DIVISIONS ARE: RANGE CF XBO -0.50CCO: O.C8C36: C.C8035C.22790 0.22791: C.34090 C.34C91: G.48C75 C.48C76: l.COOOO RANGE OF G G/S.S3CM 0.0 : 58.50CC 58.5001: 101.970 101.971: 140.700 140.701: 237.320 227.321: 1557.00 RANGE OF MPA 0.0 : 3.03501: 4.99501: 5.85801: 6.80621: 6.92601: 8.37601: 13.7000: 3.03500 4.99500 5.85800 6.80620 6.92600 8.37600 13.6999 17.0400 RANGE OF HEQD MM 2.70000: 9.35000 9.35001: 12.2500 12.2501: 13.8000 13.8001: 19.0000 19.0001: 86.0000 Oo TABLE 28 (CONTINUED) 1 1 HEOD 1 1 E_ j ? JCBC "l 1 1 2 1 3 1 4 i.__l 5_ ? 1 ? 2 2 3 2 4 2 5_3 1 T 2 H 3 3 4 3 5_4 1 4 2 4 3 4 4 __-.4 5_ ?5 I 5 2 5 3 5 4 5 5_A I 6 2 6 3 6 4 6 5_7 1 7 2 7 3 7 4 7 51 ft 1 A 2 8 38 f> 1 ._fl. 5...I 11111 ___J 2_ 3_ 4 5_J L 1 7 ... 6121 168 1 2 . . 310 2 ? n 1 . 2 1183 2 38 80 . 33__6J__.60 24 ?_-J ? ? ? ? 1 2 3 16 2 b 14 11 6 17 18 . ? 12__23__22 4 . ? 1 2 2 . 13 . 5 20 2 e 5 6 24 2 9 13 32 20 24 12 25 11 4 24 13 24 1 __15__11? 13 3?..? J14 27 13 Gl lo 33 20 89 4 22 36 15 17 11 31 21 11 2 ~. 5? 6 8 Is" 2 7 10 9 11 68523 942.. 1 29 75 45 95 7 27 36 19 13 12 21 11 4 318 12 1 1 . 4.6.,, 6 -,, . ,????-, 22222 1 ^_2 3 ^_* 5^, * ? ? ? ? ? ? ? ft * ? ? ? 9 . 22 8 . 3 25 62 13 . _1-L2 22- ft A A J 34 66 42 187 46 47 132 99 4 _15J_13J ZQ__lfl__A__J..... 2 21 15 5 5 5 26 13 2 | JL? ifi 3_ A _ A J 3 19 8 7 21 7d 19 48 68 8 24 42 . ? ^ 3_A * J 11. 3 3 7 24 105 9 46 87 15 32 47 4 1 l_24 3__25 ft ?__J29 11 3 14 16 9 8 1 16 3 6843. 835.. 4 ~. ~*6~~*6?*2~54. 12 4 . 2 . 8 5 ... 3 3 J 3 3 L _, ul , 2 3 4_,._5_ 22 1 13 . 12 5 3 10 1 . 2 . 7 . 4 . 1 1 1 16 7 61 40 78 8 . L A _I4 ft M. A. ? ? ? ? O 141 10 . A 5 ? * * J 5 82 14 118 85 3 150 36 . 5-135 _4_ M -A J 1 2 13 86 8 13 86 50 27 119 26 . 3 10 20 14 7 4 29732 15 22 5 * - J22 5 49 27 4 10 1^ 33 52 1 4 13 6 . 191..16 1 ^ M J1 5 39 59 11 59 64 92 4 28 23 4 . 29 19 . .,.3.2., ... ... ,. ...,? J 44444 1 2 3 4 5_ 1 . 4 23 148 8 24 24 35 19 21 31 . 41 .... L 5JJ * * jt * 1 . 26 3561 12 4 5 1 . 41 20 2 . L-1Q2 2 * * . 1 12 1 1 12 29 . 2 28 5 . L 21 3 * A & 1 2 1 . ? ? 2 ? ?^ 4 x _.. ?, 2 16 3 8 51 36 13 38 91 27 . 2 104 22 2 . 61 2fl ? *_ A_3 . 10 6 5 2 37 i 1 23 9 25 . 17 33 4 3 . 32 2 ? M _*.1 27 15 93 162 4 40 32 40 14 23 24 3 2 . 25 12 . 12 A * A m12 26 64 237 22 16 24 16 1 16 2 . 5 6 ... L_12 1__^ _.. *_J 55555 1 2 3 4 5- 14 . 23 287 68 9 10 5 . 60 5 2 . 35 5 . 12 * A J? A j2272. 62 18 21 6 . 60 33 27 4 . 72 40 5 . 45 * 9 * A J2155. 1 2 14 12 . 1 30 24 14 . 21 26 12 5 . 22 d 13 1 A J8 14 . . . 10 6 . . 76..? z ? ? ? 6 9 . 23 56 56 1 5 56 67 12 2 32 86 12 2 3 _41 H_ IQ fl 2_J 3 1 1J 25 I 3 14 35 17 . 36 21 3 . 8 25 1 . 13 A A _A A _J47 71 14 142 40 14 21 16 11 1 3 11 6 . 2 16 2 . 4 A 4 A A J7 . 8 40 44 3 ... 2 __ TABLE 29 DISTRIBUTION OF TESTS AMONG REGIONS DEFINED BY PERCENTILEDIVISIONS OF THE RANGES OF 4 VARIABLES CONSIDERED SIMULTANEOUSLY THE TOTAL NUMBER OF TESTS IS 12473 THF SYMBOLIC NAMES OF THE VARIABLES AND THEIR RANGE DIVISIONS ARE: 01V. RANGE CF CBAV RANGE OF G RANGE OF P RANGE OF HE00 h/SO.CM G/S.SCO MPA MM 1 0.0 : 65.4750 0.0 : 58.5000 0.0 : 3.03500 2.70003: 9.35003 2 65.4751: IOC.520 58.5001: 101.97C 3.03501: 4.99500 9.35001: 12.2500 3 ICC.521: 136.840 101.971: 140.700 4.99501: 5.85800 12.2501: 13.8000 4 136.641: 203.090 140.701: 237.320 5.85801: 6.80620 13.8301: 19.0000 5 203.091: 2221.00 237.321: 1557.03 6.80621: 6.92600 19.0301: 86.0000 6 6.92601: 8.37600 7 8.37601: 13.69998 13.7000: 17.C400 Oro roo VI 11 *? z ... r~5E?30T~Tz ? TV ? 9r ? 9 SV i SE ZI ? S E CZ i ? E 8 i 5 * S 01 51 r~T Ft ? BE OT ? ? * 01 0? IS ? ? Z * fl 51 ? Z i 9. ?l~- ?-- - 55? 55 ? ? ^ 1 1 61 ?V Z01 91 I i 91 6 Ot E Z il ZV ?1 E 6 91 il SIr~?~"07 ? IT w ' 1 . L c,? z z . 2 ' ? ? ? 1 r ? *~~TT"TZ ? E " ? II 91 ?? I ? i ?1 01 51 ?5 9 VI SZ? ^ zi / ii ? ? ?1 ZV Si ? Z S ST OS ? 6 9Z Z?J ? * i V 91r~zffz~9~ ? i -p ? TZ i ? ? ? iz ? V 5 I IV * Z 01 i9 ? * ? C? r? ? f ? c ? z ? T ? i r~99T~6- 1 E ? i li EV il ZI Zl VZ 01 Zl V E Zl 01 9Z E 1 * * V 11 r"7*T~T9~OT"~?Z"7iZ Z9 ?? 8V ZZ Z 01 9 VZ ?? V Z 1 9 81 .... r~r ? *z r r *"~~? BZ s vz ii 1 EZ i 8Z 91? z i iz 1"* 9T~ ZE"T *~ II 0? 68 i9 V I OZ Ot 6V OZ ? SI 51 ?5 61 ? 9Z r-j- r r r ? -|. i ... . c T . c r~r ? T ? ET?Z * ? i ? PI ?Z 8 ? II i ZI? v vi v ? v s~~l 6" ZT "S" * 1 ? iz vi ? V Si. fis. n ~T9T~V5 ? 9Z"TV" " ? I ? V Z 01 9? ? ? 6S * 1 6Z 9i IV 1? V SI SZ EZ il Z * 61 6Z iZ ZZ * I Z II IVrsr? BE"* ? 9T? s ? 05 i? 9 91 V Zl VI i Z * S i 01? ? * * S r~ff z c * * 9 V 6 ' S Z i *z z s ? S 5 S IE il r~TT~~TT f~ 5" T ZZ 6 9 iZ 66 Z6 5 j 3 1 ?>> 2 3 3 J A 3 5 JA 1 A 2 A 3 A A 4 5 J5 1 5 2 5 3 5 A i 5__ 5_J ill! 1 2 3- 4 5_JL 12 ....157 Al 80 15A3 217 ? * ? ? ? 161 63 68 ? ? * *4y J19 . ? * ? ? ? A73 3 5 . 16 A7 ? ? ? ? ?1?J4 102 ^ 15 , , ? * ? ? ? ? ? * * ? * ? *_ * 1 I 271 ? ? ? ? ? ? ? ? ? * I J 2 9999 L _ 1 2 3_4_ _5_J ? * ? * ? ? ? ? ? ? ? ? 21 1_ _I _. .. ? ? ? ? 2 181 318 825 I 1 ^ .. ? _? .. 1 51 338 9A 130 A7 _143 53 * . .. _J 332 A3 168 35 IA ? * ? * ? ? ? ? ? ? ? ? ? ? ? * ? ? ? ? ? 3 0 ?? ?% a L 1 2 3 4 5_ .....11A ? * ? ? * ? .. 461 54 * J ? ? * ? ? * ? * ? ? ? * * ? ? ? ? * ? ? 58 17 AA ? * ? ? ? 103?.. ^ A .. * J75 . 73 5A 1AA . 36 ? ? ? ? ? ? ? ? ? ? ... * _ ^ __*_ J 12 73 . 106 1190 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?L + -. ^ * _2a.j i i 3 * ?* L . .? \ 119 ISA ? * ? 21 ? * * 1 I 146 * * ? ? ? ? 6* ? * ? * ? * i .4 5_ * 6 * A ? ? 1 ? ? 1__ *5 723 )6 ? ? t ?_ J265 > ? ? ? ?. *__J _ _ CDcn '-h ft"? I J G u -r?s . G ?SC r-|nfl 2-5*10 icr *~^9cc LU z 2-0 i? 4 Xt l~?a t? ?i * 15a: CO ?z.t?t ? 1.0 CO LU 1 ? u_o cc 0-5 LUeg z 0,0 0, -?\ ' i ? - ? - ; "~ ? iLw^Jvijv 0 4.0 r X r- - ' - - - "1 ' iV 1 ' 1 ' 1 ' 1 ' I 1 ??" - 1 ! iL-J } : - ? ^ ^ - 1 - hi ^1 [ JA _^ , r^ : 80 irj 0 16 0?-/ r *./ * C_ - ?*/ i '^J a *J o-J VSTEH PRESSURE FIGURE 1. DISTRIBUTION OF TESTS OVER THE RANGE OF SYSTEM PRESSURE TSc"? n"r 12163 Firs*- *c ?h'rd ?h* "^-^c- 0.0 U- BOG. 0 g.s- 1 .c*-2 u"* o4 57 C4 , I"f3.3. ZCs.B g.?-Lc. H.CCD 9.4.- - 1 i * 1 f 1'. ? *t* i U a: CC 1 0LU l?c- -SL? f 1-0a .-^- r"S .'-* cr ?'b 03 >? - 1 0 6 ? *J ?> \J i? LO UJ CC en 0.2z: t'i ! i i ?. . i 1 j 1 h ilr IT 1 j ! rin L I1biT j . -vJ L .i. t_l. J.-J...J.. i r i j i i i | i i "i" ( i r 'i i i | "i i i ' r"r- 1 -?(??? i" i~i i -t i i r i ii i | " r~i " i "i ' i i i i i ] 1 ^ . ii r iif i i ;ii |! -n 1! n ' : : ,: !. ;. i l,.i : ( ?">-f~: i t"l~i I f-..^-/ : r*-f'i Vi -r T i ^"?I.T'T-j-'-r;"! i"'4i_i ? i,.a..j t. i i, i. .:... 0,0 -:1J(), ij H MX f50'X 0 500, 0 FIGURE 2. DISTRIBUTION OF TESTS OVER THE RANGE OF COOLANT MASS FLUX c fi r, f:OUO, U CL OI?' 500,0 V --? IT 2 ^00.0?7 oren ^ 300, 0 eni ? uj 200,0 o ? 100,0 CDz: O n. U -1. The "6 u".? }2^7'^ *~^=. ? '. F.f.-,'- *0 ?vrd ?ua">' i *; M's^-gro* bo? w.d?h - 1 ' ! " ' ' I "' "? - - '. - - - ^ 1 inl /J1 J'JIj, ^f 2 -0,8 -0. -h^ -j?36 -I.IUO i-r o* -o ivy ?. -- 0.310 r_- .,.. __p- ..r r- It|!/Jr i i/J" l lipfill ! f V L/^ , i ^ 0 ??:? '(> 9GOD *** ? ^ t ?? f (*?r~ .*- ?u ' i" r.. -G 1)^^-;'- | *---?, , , r- , r -f "1" . "" _ ~ " ? 1 " - _ 1 - 1 . 1 ^^?-j^Jr-riJT-T7^'^/iL^_nil ,-* |n ,, , ,0 0,t* 0,8 oUD COOLRNT OUflLiTY qj CMRNNEL INLET FIGURE 3. DISTRIBUTION OF TESTS OVER THE RANGE OF COOLANT QUALITY AT CHANNEL INLET to M's'-ogr-asi ha" wid*-h - ? in ?-h6 ^o-igc- -0 SOCG t- *-* t-*~ w ^ 1 | j J j _- i (I ( ? 50,0 f- ^ Vi ^ OTiz: "^ 0, 0 : ,J ^-.ji 1 fb-J SjJ "1 -| r-TjTjlTU " [i^Jl,-! H ? ! "-r y i^'""' 1 1 ? i i 1 i ! j i , i i i i i j i 1 ? L i | i L "ri~i-_r-J -0,5 -0.? -0,0 0,? 0,5 0,? COGLPNT Dijl.K QU?L!TV RT BURNOUT FIGURE 4. DISTRIBUTION OF TESTS OVER THE RANGE OF COOLANT BULK QUALITY AT BURNOUT 500,0 _!o: ? 700,0 500, 0 t- "~ o 5 500,0 ccen CO UJ ,U f 200,0 Fo cc ^ 100. 0 0,0 0,0 MM ???;? jf-.jri bor r ,---,- s ]I 'j. 'J'J 'j I;, A 1- - i ., .j f J] '1 r,_r OA ' 0,6 0,8 LOCRL BURNOUT MrflT ^LUX U,c?f 1-0 -r ^ ??i -I 1,2*10 FIGURE 5. DISTRIBUTION OF TESTS OVER THE RANGE OF LOCAL BURNOUT HEAT FLUX L. Pi*"* o?a JdVl tszH. in *h* ^digc 3.ICCG ft? "57.10 Fir";*- t-o *h'rd quo"-'-'i ei o"6 u* <* 9^5. 3.0^2. 19.03 M-i'-egr o'n b^" widvh - C.2DO fi_ ^ \J^* X V _Ja: cc UJ 5 UG IT CD V? 1 cc "t~a: ca 2: ? 0,8 CO LU 1? LL. O Q- U.*t LU CD fi f! i i i i - - ? - - ? i r?ij 1 . | i . i ri I SI t t l^iiiiifii i i i i i i i . n . , i i i i i a ... it !' f i i i 1 i i i i 1 f - - - - _ - - - f i ro 0,0 10. 0 20,0 NUMBER OF ROD: 30,0 i*0.0 FIGURE 6. DISTRIBUTION OF TESTS OVER THE RANGE OF NUMBER OF RODS U'-r l^H-H.7 ?rS*-? *-0 ?h'r.j 31.0** ? I d " J'-:gc G (J * 0 25.00 ?"?VT- ID ?CV, 1:5. C1^, 1 S . 5*5 Ti* 0.1 GO si's i - O* I LI _1g: CC 1 - ^r LLJ ^ U2 a 5 ! . 0 or CE CD 5 ? 0-6 UJ1 ? Li- 0 Lo a:UJ ? 0,2 ID ft nU, U 0, - - . - ? - - - - 0 5. 0 i T 1 J ? n . .il 1 f! 10. RC i t r it i i 0 JO . i ? i ? r 1 i n li. jT.qric T r IU .TER 'jJ i i ???? ? ..' = i P flj\ 0 1 j !i j U 1 I 1 *" 20, -i ? m - ? - - - 'i ? ?? til* 0 25, 0 co FIGURE 7. DISTRIBUTION OF TESTS OVER THE RANGE OF ROD DIAMETER FIGURE 8. DISTRIBUTION OF TESTS OVER THE RANGE OF ROD PITCH:DIAMETER RATIO FIGURE 9. DISTRIBUTION OF TESTS OVER THE RANGE OF HYDRAULIC EQUIVALENT DIAMETER NUMBER OF TESTS IN BflR WIDTH INTERVflL _ FIGUR E 10 . DISTRIBUTIO N O F TEST S OVE R TH E RANG E O F HEATE D EQUIVALEN T DIAMETE R FIGURE 11. DISTRIBUTION OF TESTS OVER THE RANGE OF HEATED:WETTED PERIMETER RATIO FIGURE 12. DISTRIBUTION OF TESTS OVER THE RANGE OF HEAT FLUX TRANSVERSE FORM FACTOR FIGURE 13. DISTRIBUTION OF TESTS OVER THE RANGE OF HEAT FLUX AXIAL FORM FACTOR roo FIGURE 14. DISTRIBUTION OF TESTS OVER THE RANGE OF HEATED LENGTH FIGURE 15. DISTRIBUTION OF TESTS OVER THE RATIO OF HEATED LENGTH TO HEATED EQUIVALENT DIAMETER FIGURE 16. DISTRIBUTION OF TESTS OVER THE RANGE OF BOILING LENGTH FIGURE 17. DISTRIBUTION OF TESTS OVER THE RATIO OF BOILING LENGTH TO HEATED EQUIVALENT DIAMETER FIGURE 18. DISTRIBUTION OF TESTS OVER THE RANGE OF BOILING NUMBER x 1000 FIGURE 19. DISTRIBUTION OF TESTS OVER THE RANGE OF WEBER NUMBER FIGURE 20. DISTRIBUTION OF TESTS OVER THE RANGE OF LIQUID FROUDE NUMBER Printed by the AAEC Research Establishment