w? .
?u
AAEC/E559
AUSTRALIAN ATOMIC ENERGY COMMISSION
RESEARCH ESTABLISHMENT
LUCAS HEIGHTS RESEARCH LABORATORIES
DATA BANK OF DEVELOPED SINGLE-PHASE FLOW THROUGH A
SQUARE-PITCH ROD CLUSTER FOR FOUR REYNOLDS NUMBERS
by
*J.D. HOOPER
"D.H. WOOD
W.J. CRAWFORD
* CSIRO Division of Mineral Physics, Lucas Heights Research Laboratories
** Department of Mechanical Engineering, Newcastle University, NSW
March 1983
ISBN 0 642 59767 7
AUSTRALIAN ATOMIC ENERGY COMMISSION
RESEARCH ESTABLISHMENT
LUCAS HEIGHTS RESEARCH LABORATORIES
DATA BANK OF DEVELOPED SINGLE-PHASE FLOW
THROUGH A SQUARE-PITCH ROD CLUSTER FOR
FOUR REYNOLDS NUMBERS
*J.D. HOOPER
**D.H. WOOD
W.J. CRAWFORD
ABSTRACT
Complete tabulated data of the mean velocity profiles, wall shear stress
distribution and all components of the Reynolds stresses are presented for
developed single-phase flow through a square-pitch rod array (p/d = 1.107) at
Reynolds numbers of 22.6 x 103, 46.3 x 103, 133 x 103 and 207.6 x 103.
* CSIRO Division of Mineral Physics, Lucas Heights Research Laboratories
** Department of Mechanical Engineering, Newcastle University, NSW
National Library of Australia card number and ISBN 0 642 59767 7
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.
EXPERIMENTAL DATA; FLOW RATE; FUEL ELEMENT CLUSTERS; FUEL RODS; REACTOR
LATTICE PARAMETERS; REYNOLDS NUMBER; SHEAR; SQUARE CONFIGURATION; STRESSES;
TURBULENT FLOW; VELOCITY
CONTENTS
1. INTRODUCTION 1
1.1 Reference
2. REYNOLDS NUMBER OF 22.6 x 103 2
2.1 Wall Shear Stress Distribution
2.2 Mean Velocity Profiles
2.3 Reynolds Stresses ?
3. REYNOLDS NUMBER OF 46.3 x 103 14
3.1 Wall Shear Stress Distribution 4
3.2 Mean Velocity Profiles 4
3.3 Reynolds Stresses 22
4. REYNOLDS NUMBER OF 133 x 103 7
4.1 Wall Shear Stress Distribution 27
4.2 Mean Velocity Profiles 27
4.3 Reynolds Stresses 34
5. REYNOLDS NUMBER OF 207.6 x 103 40
5.1 Wall Shear Stress Distribution 0
5.2 Mean Velocity Profiles 0
5.3 Reynolds Stresses 51
1. INTRODUCTION
Complete tabulated data of the mean velocity profiles, wall shear stress
distribution and all components of the Reynolds stresses are presented for
developed single-phase flow through a square-pitched rod array (p/d = 1.107)
at Reynolds numbers of 22.6 x 103, 46.3 x 103, 133 x 103 and 207.6 x 103. . A
discussion of the results and a graphical presentation of some of the data are
given in Hooper et al. [1983].
1.1 Reference
Hooper, J.D., Wood, D.H. and Crawford, W.J. [1983] - Developed single-phase
turbulent flow through a square-pitch rod cluster for an extended
range of Reynolds numbers. AAEC/E558.
2. REYNOLDS NUMBER OF 22.6 x 103
2.1 Wall Shear Stress Distribution
AIR DENSITY 1*155 KG/M**3
KINEMATIC VISCOSITY 1.622E-05 M**2/SEC
AVERAGE WALL SHEAR STRESS 0*09:1.4 PA
ANGLE AND TW(THETA)
-35*0
-70,2
??55,0
-39,9
??25 * 1
--9,9
4 , 9
20,0
34,9
50,0
64,8
30,0
0 , 064
0 , 084
0*103
0,109
0 , 099
0,081
0,079
0,094
0,105
0,108
0,089
0,070
??-80 , 1
-64 , 9
-50,1
?-35,0
????20,1
????5,0
9,8
25,0
39,8
54,9
70 , 1
84 , 9
0,067
0,091
0,103
0,105
0,096
0,079
0,083
0,098
0,103
0,103
0,031
0,064
-75*1
??-60,0
-45.1
??-30,0
-?15,2
0 , 0
15,1
29.9
45,0
59,9
75,0
0,077
0,098
0,109
0,103
0.086
0,077
0,089
0,100
0.112
0,093
0,079
2.2 Mean Velocity Profiles
MEAN VELOCITY AT -10*0 DEGREES,
WALL SHEAR STRESS 0,0314 PA
FRICTION VELOCITY 0,2654 M/SEC
Y <M> V (M/SEC) Y+
0,00077
0,00127
0,00177
0,00277
0,00377
0,00477
0,00677
2,920
3,090
3,310
3,560
3,740
3,850
4,030
12,6
20,8
29,0
45,3
61*7
78,1
110.8
11.001
11,641
12.470
13,412
14,090
14,504
15,182
0,00377 4,070 143,5 15.333
0,01077 4,040 176,3 15,220
0,01277 3,910 209.0 14,730
MEAN
WALL
FRICT
Y ( M )
0,00077
0,00:127
0,00177
0,00277
0,00377
0,00477
0,00677
0,00877
0,01077
MEAN
WALL
FRXC'l
Y ( M )
0,00077
0,001 '-'"':
0,00177
0,00277
0,00377
0,00477
0,00677
0,00377
0,01077
MEAN
WALL
FRICT
Y (M)
0,00077
0,00127
0,00177
0,00277
0,00377
0,00477
0,00677
0,00877
0,01077
0.01.277
VELOCITY AT
SMEAR STRESS
ION VELOCITY
V (M/SEC)
2,800
y. , 050
U250
> < 520
;;, 670
?5.780
}, 910
> , 9 .1 0
"*79?
VELOCITY AT
SMEAR M'KESH
ION VELOCITY
V (M/SEC)
2.. 850
3, 130
3,330
3,540
3,770
3,770
3,880
3,880
3,740
VELOCITY AT
SMEAR STRESS
ION VELOCITY
V (M/SEC)
2,800
3.130
3,310
3,540
3,700
3,780
3.910
3.940
3,810
3.530
????5,0 DEGREES,
0 , 0795
0,2623
y.....
12,5
20,5
28 , 6
4 1 , 8
6 1. , 0
?'' /' (. '"^
J O*-:-', 5
J 4 1 . 8
?LM,2
0 > 0 I.H
',"? -.0766
0,2575
?H.
12-2'">() , ?":>
28 ^1
44,0
59 :. 8
75 , 7
107,5
13V, 2
171,0
5,0 Dl
0,0796
0,2625
Y-f
12,5
20.6
28,6
44,3
61,0
77 . 2
109,6
141,9
174,3
206,6
PA
M/GEC
V-l
10,673
11,626
12,388
.1 .*. , 4 1 7
13. v89
:l 4, 409
14 i ?04:i 4 < 9 o ?"'.
1A ??, 447
?nKPFS-
PA
M/SLC
\J .!
.1. 1 : 06^
.1.2 , 157
I 2,933
J.:y. ?. 749
14,642
1. 4 < 6 4 2
15,069
1 5 . 069
:!..?v526
AGREES,
PA
M/SEC
VI
10,668
11,925
12.611
13,487
14,097
14,401
14,897
15,0:1.1
14.516
13,449
rfEAN VELOCITY AT 10.0 DEGREES*
WALL SHEAR STRESS 0.0836 PA
FRICTION VELOCITY 0,2690 M/SEC
V (M/BEC) Vi
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0o
0
0
0
0
,00077
,00127
,.00177
,00277
,00377
,00477
,00677
,00877
,01077
,01277
,01377
MEAN
WALL
FRICVl
Y ( H }
,00077
,00127
,00177
,00277
,00377
,00477
,00677
,00877
,01077
,01277
,01477
,01677
,01077
2,
3,
3,
3,
3,
3,
4,
4 ,
4,
3,
3,
UELOCI
31-1 EAR
ION VE
v >:
2,
3,
":> ,
3,
3,
4,
4,
4?
4,
4 -,
4,
S\
3.
850
160
360
600
760
870
060
080
060
910
8 .1 0
TY AT
STRESS
L.OCITY
H/SEC)
9 1 0
320
500
720
890
010
150
280
31.0
270
210
100
920
12,
21,
. 29,
45,
62.
79,
112,
145<
178,
211,
228,
1 5 , 0
0 , 089
8 10,
1 1. 1 ,
4 1.2,
9 1. 3 ,
5 1.3,
1 1. 4 ,
3 1.5,
4 1.5,
6 1.5,
8 1. 4 *
3 1 4 ,
DEGREES ,
2 PA
596
748
492
384970
388
094
169
094
536
165
0,2778 M/SEC
Y-!
1 3 ,
21,
30 ,
47,
64,
81,
1.16,
1.50,
1.84,
218,
253,
287 ,
321 ,
V
2
8
3
4
6
7
0
2
5?">
0
3
5
1.0,
1. 1 ,
1. 2 ,
1.3,
1.4,
1.4,
1. 4 ,.
1.5,
1.5,
1.5,
1.5,
1.4,
1.4,
i
474
949
597
389
001
433
936
404
512
368
152
757
109
MEAN VELOCITY AT 20*0 DEGREES,
WALL SHEAR STRESS 0,0937 PA
FRICTION VELOCITY 0-2849 M/8EG
V CH/SEC)
0
0
0
0
0
0
0
0o
o
0
0
0
0
0
,00077
,00127
,00177
,00277
,00377
,00477
,00677
,00877
,01077
.01277
,01477
,01677
> 0:1. 87 7
,02077
,02277
3
O
3
3
4
4
4
4
4
4
4
^4
4
4
,0
,4
A'.? l..'
,8
,0
,1
70
50
20
70
30
50
,290
,4
, 4
i:"
,5
,4
20
70
US
40
30
,490
,4
, '3
10
20
13
V .". A '.'.
31
48
66
83
1.1.0
154
189
224
259
294
32"
364
399
<? O
A ".?, 1
i- ''
, 2
, 8
,9
,0
?i . .'
V ? \'
, A
, 5
, 7
,3
< '9
1 0
12
1.2
.1.3
1 4
1 4
15
15
:l 5
15
1 5
15
.1.5:i 5
1.5
,77
. 1 1
-70
7
0
' ;?
< 585
, 1 A
'"* A.
:05
,5:1
,69
,;?) ? ;-
.93
,55,::'6
; i8
. 16
?:b
8
t'>
i::1
1?j
'.''
0i
0
4
MEAN VELOCITY AT 25,0 DEGREES,
WALL SHEAR STRESS 0,0984 PA
F RIC T10 N V E I... 0 CIT Y 0 , 2 919 M / S ? C
(M/3EC) .Y-f
0,00077
0,00127
0,00177
0,00277
0,00377
0,00477
0,00677
0,00877
0,01077
0,01277
0,01477
0,01677
0,01877
0,02077
0,02277
0,02477
0,02677
0,02877
0,03077
3,250
3,570
3,760
3,970
4*1.20
4,260
4,450
,690
.750
,810
,830
>360
>870
,850
,820
,81.0
,300
4,720
13,9
22,9
31,9
49,8
67,3
35 * 8
.21,3
157*8
93,8
229,8
265,3
301-8
337,. 8
373,7
409*7
445,7
431,7
517
553
11,135
12,231
12<BB2
13,6 02
14 , .1.16
14,595
15,246
15,760
16,06(->
16,274
16,480
16,543
16,651
16,685
1.6,617
1.6.514
1.6,480
1.6,445
MEAN
WALL
FR.I.UI
Y (M)
0,00077
0,00127
0,00.1.77
0,00277
0,00377
0,00477
0,00677
0,00377
0,0:1.077
0,01.277
0,01.477
0,01677
0,01877
0,02077
0,02277
0,02477
0,02677
0,02877
0,03077
0,03277
0,03477
0,03677
MEAN
WALL
FRIC'T
Y CM)
0,00077
0,00127
0,00177
0,00277
0,00377
0,00477
0,00577
0,00677
0,00877
0,01077
0,01277
0,01477
0,01677
0,01977
0,02277
0,02577
0,02877
0,03177
0,03677
0,04177
0,04677
VELOCITY AT
SHEAR STRESS
ION VELOCITY
V CM/SEC)
3,360
3,570
3,800
4,040
4,240
4,410
4,600
4,720
4,850
4,950
5,060
5,080
5,140
5,170
5,220
5,240
5,260
5,290
5,280
5,300
5,320
5,290
VELOCITY AT
SI-IE AR STRESS
ION VELOCITY
V CM/SEC)
3,400
3,620
3,860
4,170
4,340
4,480
4,580
4,650
4,830
4,940
5,080
5,160
5,230
5,330
5,420
5,470
5,510
5,550
5,590
5,530
5,470
30,0 DEGREES,
0,1004 PA
0,2948 M/SEC
Y-f V-{-
14.0 11,396
23,1 12,108
32,2 12.888
50,4 13,702
68,5 14,381
86,7 14.957
123,1 15,602
159,4 16 < 009
195,8 16,450
232,1 1.6,789
268,5 17,162
304,8 17,230
341,2 17,433
377,5 17,535
413,9 17,705
450,3 17,772
486,6 17 < 840
523,0 17,942
559,3 17,908
595,7 17,976
632,0 18,044
668,4 17,942
"A '", A Y't \'" f"1' \"' I"' K" ''?o ?j <? \,i l.i 1:;. U K )::. 1::. o *
0,1049 PA
0,3014 M/SEC
Y..}. g.{.
14,3
23,6
32 , 9
51,5
70 , 1
88,6
107,2
1.25,8
1.63,0
200.1
237,3
274,5
311,6
367,4
423,1
478,9
534,6
590,4
683,3
776,2
869,1
1.1 ,280
1.2,010
.2,806
.3,834
.4,398
.4.863
.5,195
.5,427
.6,024
.6,389
.6,854
.7,119
.7,351
.7,683
.7,981
.8,147
.8,280
.8.4.1.3
.8.545
.8.346
.8,147
MEAN VELOCITY AT 40,0 DEGREES.
WALL SHEAR STRESS 0,1078 PA
FRICTION VELOCITY 0,3055 M/SL-C
Y (M) V <M/SEC>
0*00077
0,00:1.27
0,00:1.77
0,00277
0,00377
0,00477
0,00577
0,00677
0,00377
0,01077
0,01277
0,01477
0,01677
0,01977
0,02277
0,02577
0,02877
0,03177
0,03677
0,04177
0,04677
0,05177
MEAN
WALL
PR 1C
Y (M)
0,00077
0,00127
0.00177
0,00277
0,00377
0,00477
0,00577
0,00677
0,00877
0,01077
0,01277
0,01477
0,01677
0,01977
0,02277
0,02577
0,02877
0,03177
0,03677
0,04177
0,04677
0,05177
0,05677
3,760
3,790
3,960
4,250
4,420
4,570
4,670
4,780
4,950
5,090
5,220
5,310
5,380
5,470
5,580
5,650
5,690
5,730
5,770
5,730
5,640
5,490
VELOCITY AT
SHEAR STRESS
TION VELOCITY
V (M/SEC)
3..480
3,830
4,030
4,280
4,440
4,600
4,720
4,790
4,980
5,130
5,220
5,360
5,460
5,530
5 ,630
5,710
5,750
5,750
5,760
5,700
5,620
5,460
5,290
14,5
23,9
33 ,3
52,2
71,0
89,8
108,7
127,5
165,2
202,9
240,5
278,2
315*9
372,4
428,9
485,4
541 ,9
598,4
/ O ' ')\.> ;? ..-.. (? <::?
786*7
080,9
975,1
12,308
12,406
12,962
13,912
14,468
14,959
15,206
15.^46
16,203
16,66:1
17.087
17,381
17..VI.O
17,905
18,265
18', 494
10,625
18, '"'5 6
"I '..? O O ''.1. O * O ' > /
?) i i ?".' ir /
.1. '. .' <? .? ;.\ I.-1
18,461
17,970
45,0 DEGREES,
0,1122
0,311?
Y-f
14,8
24 , 4
34,0
53,2
72,4
91,7
110,9
130,:!
168,5
206,9
245,4
283 * 8
322 ,2
379,9
437,5
495,2
552,8
610,5
706,5
802,6
898,7
994,7
1090,8
PA
fi/SEC
V-{
11,166
12,289
12,931
13 , '':'T:>
14,246
14,760
115* 145
15,369
15,979
16 , 4<f>0
16,749
17,198
17,519
17,743
18,064
18,321
18,449
18,449
18,481
18,289
18,032
17,519
16,973
MEAN VELOCITY AT 50,0 DEGREES*
WALL SHEAR STRESS 0,1076 PA
FRICTION VELOCITY 0,3053 H/SEC
Y CM) V CH/SEC) Yl V-f
0,00077 3,420 14,5 1:1. ,204
0,00:1.27 3,710 23,9 12,154
0,00177 3,940 33,3 12,907
0,00277 4,180 52,1 13,694
0,00377 4,390 -70,9 14,382
0,00477 4,460 89,8 14,611
0,00577 4,620 108,6 15,135
0,00677 4,730 127,4 15,495
0,00877 4,910 165.0 16,085
0,01077 5,070 202,7 16,609
0,01277 5,190 240,3 17,002
0,0:1477 5,270 278,0 17,264
0,01677 5,380 315,6 17,625
0,01977 5,460 372,1 17,887
0,02277 5,520 428,5 18,083
0,02577 5,560 485,0 18,214
0,02377 5,610 541,4 18,378
0,03177 5,590 597,9 18,313
0,03677 5,560 692,0 18,214
0,04177 5,490 786,1 17,985
0,04677 5,450 880,2 17,854
0,05177 5,390 974,3 .1.7.653
2.3 Reynolds Stresses
SCAN
Y/YMAX
0,575
0,632
0,690
0,747
0,805
0,862
0,920
0,977
1,035
1,092
1,150
1,207
SCAN
Y/YMAX
0,641
0*692
0,744
0,795
0*846
0*393
0,949
1,000
1*052
1,103
1,154
1,206
SCAN
Y/YMAX
0,666
0,706
0 , 746
0,736
0,826
0,867
0*907
0*947
0 * 987
1 * 027
1*067
1*107
ANGLE ??
I!
1,629
.1. ,605
1,570
1 ,564
:U527
1,531
1,501
1 ,493
1 ,486
1 ,475
1 ,489
1 ,502
ANGLE
U
1 ,563
1 .516
1,432
1 ,473
1,446
1,334
1,367
1 ,355
1 ,355
1 ,361
1,341
1,365
ANGLE
LI
1,487
1,455
1,4.24
1,392
1,355
1*355
1*319
1.310
1*298
1*232
1*291
1.294
10
1 !V
0-648
0,679
0 , 6 7 1
0' * 6 0 9
0,663
0,571
0-601
0,603
0,592
0,627
0,604
0,632
???? 5
V
0,622
0,661
0 ,630
0,580
0*527
0,582
0,704
0,603
0,5(?4
0,552
0,638
0,622
0
V
0,691
0,684
0,672
0,674
0,698
0,675
0*707
0*633
0 * 633
0*719
0*638
0 * 703
W
1. ,320
.!. ,340
.1 , 345
1,313
1. * 34?
:l ,3.1 4
1. , 327
.1. ,370
1 < 320
1..322
j. , 30. <
1 ,292
Ul
:'. , 425
:! > 439
U423
1 ,446
1,374
1 v -1 3 1
1,393
1 ,412
1 ,400
1 ,407
1 -4.17
1. ,367
W
1 .,495
.1. ,502
1 -507
1 ,432
1 ,519
1 ,50ft
1,517
1 *527
1. ,514
1. ,523
1. ,511
1. .521
U ,'
0 * 382
0,362
0 ?? 3 3 1
0 * 278
0 * ? ??'.? 1
0,195
o ? .1 ;->i-
0 . 1 35
0, 108
o - o 3 :?'
:"> ,027
0 ., 0 3 1
U'v!
C1 ? 3 1 7
0,27H
0,231
0,1 8&
0,169
0,. 1.23
0 , 0 1 0
0,053
0,007
0,003
?? 0 ,035
???? 0 , 0 7 3
LI '?.,'
0,297
0,260
0,22:1
0, 1.89 ?
0, 1.66
0, i.31
0,100
0,065
0,041
0,015
????() -029
???0*050
i.H'J
0 ,650
0 :. 726
0 v 7 '7 6
o -. ;?; :?/
' ' ;? O .-'
0 .. '? .!. ? '!
C' "':?.!::?
o ???;:::.!o > ?'.'..."
0 .957
0 .? 'v'50
0 v 9-40
iJW
0 *462
0 < '?>'?''. :
0,514
0 , 58 L
(3 . 545
0 , l<7.:':
0,635
0,595
0,602
0 , 0* 1. 6
0 , 6 1. 1
O.:.i8v'
UW
0,076
0.000
0*070
0,093
0*060
0,063
0,07;:-
0-050
0,053
0,039
0,060
0,064
' M/i
? 0 0 78
0 , 003
'.".' , 0 8 .:.
? 0 .076
? 0 -02H
? 0. 023
0 , >: .'. .?
(.' ..?;?': .1.
'. ' '"' , ' '. '
'. . u .'"!:(
('j , '"'l '.;' ,".,
,??) ^ ,'?, '.:r;;
','I,J
?-0-1-M
? i . :l 74
?", : 250???; , 21.8
?""> v 1.5'.".
?-Ov I'''"
???0, 403
????() * j. :i /
-0* 1. .12
???()- 057
? ?('! v 051
-0, 065
W
???0,393
?-0-. 300
????() , 496
-0* 439
?-0 , 340
?-0 - 354
- 0 , '.S 6 4
?-0 <? 260
?-0,344
-0 , 307
?-0 ,269
????0,344
i;
2 - 4 OS
'.;'. ??? ? '! 1 6
'": . 3,'.i
'"?' . ? ' ".' ;
;? ?? 7/96
?' . i '.t ;:,
/. V i. (..' ' '?
'.'.: - ! ?('<
' ?' '; ' i
1 i ' - - ?'
'/' , I.-; :.?
'? t \ i:\ V1'
Ci
2,4J8
2,403
:.?:. -. .y>'-:j
2 ,299
; < i.2o
, .': .. i 5 7
2. .157
2,097
2,075
? ,063
2.. 106
L' * ?.'.'' ':.' 9
Q
2,461
2,422
2,375
2 , 2'>-'<
2-3:15
2 - 7: n 0
2,269
2 > 257
2,221
2,240
2 , ? 1 2
2,241
trlS*S
86ty* 2
IIS* 2
80G* 2
,/..?G* ;?>;
GIS*2
6Vt>' * 2
??tv* 2
82t"*2
G6t**2
69^*2
90S* 2
0
2t>(/ " ?'.
? G fr '? 2
?2(7 ' 2
20t>"' 2
??t>- ?' 2
8 1 <7 " 2
6 Vv1 " c
G?GV 2
?Hl/"2
8?t?*2
I .;! G * 2
0
8I?'2
t1' 6 2 ' 2
G 1 2 * 2
122*2
GSI'c
G22 ' 2
?82*2
IT?:.4 2
81 ?"2
G0?*2
?8?*2
t' 1 tr ' 2
?6G*0-- 260 '1 -
8t>G*0- OII'I-
02tr40? 060*1-
08t'40- ??0*1~-
6 1 ?*()-? 8GO'l-
Otyt>-' ()?- t/66 ' ()????
6?t>-'0- I?6*0--
?6?'0~- t^S'O-
26v-*0~- ?6?*0--
()??*0-- GG?>0--
?62 '0-- ?69'0-~
6?? *0- 96G'0--
MA f'lfl
1 fc't- "0- 6V6'0-
OG^ *'>"? ?G6"0"-
TVG'O- 916*0-
89r''0-~ ITo'O--
69t '<>??? TI6MV..
CG!.-;*1;'-" Gvf: ?? o ?
i? 8 1' '('??? 8^8*0-
t? 8 ?"'.)??? oo?'0--(/t>t> "0-- 2 <::..:;?' o ????
6?t--'0-- i'99"0-
?2?"0-- l'T9*0-
MA fid
?0?'0-- 8GG'0-
38 ?"0-- G?G*0-
TGt'-'O-- t/tyG'0--
88?'0-- 9IG " ()????
98G'0- VlG'O-
'"',}?> ty * 0- ?T?I * 0 ?
0?G'0-- r?b"0-?f.:tf*o-- OG^*O?
20*/*0- i'21:'*0-
8 ty '?'?! * 0 ?- ' ?! 8 ? " 0 ?-
OGt>'*0-- ???*0--r' o F : o ? i: s} '"' ' (-' ????
OG2*
91 ?'
{'??*
99? '
69?*
"v "v $y **
t? | t>' *
9Gt^*
6^1"*
?9t>-'
OOG "t/oa*
ATI
'?'??' ts (j ''
.-. ? )
60 T"
:VI "
?02*
6?J ':
8?('!r ^
G 1 ? *
tvt?? *
?o? '
1 1 i," *
vvt/-
An
0/.0*
9?0'
600*
Il-'O*
I ?'.)"
?2 1' '
i: G T *
?81 '
8?2*
192 '
86 c "
9?? '
0
0
0
0
0
0
()?
0
0
0
0
0
0o
0
0(.)
r.
(1
0
1 f
o
0o
o ????
0 ""
0
0
0
0
0
0
0
0
0o
2^2* I
Gt>'2* I
6t'2' I
OG2*I
192* I
G92' 1
0?2'I
9 1 2 * I
.:'. 6 I ' I'
?22 'I
981*1
G ? I * 1.
f'l
99?4 1'
G8? ' I
?6? ' 1'/.."/;?' i
i:oS- ' i.?0t' * s:
?/ v' ' i:
G?? '.I
?0t- - 1.
?9?'*T
v-v?- Tl?x:4 i:
rt
G?r E
*'* /* iy ' i-
8Vt-* i:
99t^'i:
8 ?lv* 1
?Gt- v I
t'-?l>-' I
tf8V ' i:
89 V ' I
G?t ' I
/. ?tv* I
t"2t7*I
2G6*
116*
I */6 *
9?6'
OG6*
6?6*
??H "
?06*
906*
026*
G98*
?68"
A
?6B*G6;;r
026*
QC,., ?>
T/..8*
?06"
(7 88 '69;r
??' 0 ? ?? ''
088 *
G?8 *
'., t''. ''..'
n
0
128*
6?8*
???*
Q / ''' '!
l>'8?':
?8?"
SI8'
1708*
66?'
6G? *
36?*
OG?*
0
0
0
0
0
0
0
0
0
0
0
0
T
0o
0
01.)
o
( ,
0
0o
n
0
T
o
0
f)
0
Q
0
0
0
0
0
0
0
909*1 ??I*
?19*1 G?0'
G09*I 910*
90,* I ?G6*
?09*1 668*
96G*I Ot/84
?19*1 I8?*
V094T ?2?*
?19*1 r-99'
1729 *l 909*
399 *T ?t-G*
189* I 88^7*
n xyiu
01 G'!' ?02*
l?t?-*'! OGT"
GGt^'I 260'
?H/ * i: G?0'
?Gt--*'|. ??6*
G i- 1:/ ' I 026'
??^*I 298'
96t> " i: GOB 'Q
OG'I ,:>?'
0?G " i: 069 "
G9G"I 2?9'
28 G* 1 G?L*
1 i X y !.-! /'?
3"'IDNy NVOS
9??*I 902"
60? * 1. t'G I J
GI?*I ?01*
00?*l 2GO*
OOE'T 000'
oO?*'|. 6t'6*
8I?'i: 868 4
2??'I 9^8'
8G?*I G6?"t'0t--"i iM:'?'
Oi^t'*'!. 269'
G6t'*l Ii-9*
I
I
I
0
0
0o
()o
0o
0
/.
T
1
I
1o
0
..;)
(>o
0
0
<>
/
I1
i:I
1
0
f')
<)
()
()
0
0
01
11
SCAN
Y/YMAX
0,400
0-4 73
0.545
0,617
0,689
0,761
0,833
0,906
0,978
1,050
1,122
1,194
SCAN
Y/YHAX
0,322
0,399
0,477
0,554
0,631
0,709
0,786
0,864
0,941
1. ,018
1. ,096
1. ,173
SCAN
Y/YMAX
0,256
0,338
0,420
0,502
0,585
0,667
0,749
0,831
0,913
0,995
1,077
1,159
ANGLE
U
1,603
1 , 588
1,559
1 , 533
1,580
1 , 582
1,588
1,591
1,593i,:?; 9 5
J ,591
1 < 602
ANGLE
LI
1,548
1,527
1,526
1 ,538
1,546
1,569
1 ,571
1 ,578
1,592
1,583
1,562
1,557
ANGLE
U
1*600
1,527
1,505
1,484
1,488
1,493
1,521
1,522
1,541
1,516
1.510
1 . 504
20
V
0,850
0,804
0 , 864
0,846
0,885
0,860
0,847
o ? n 9 '.'??
0 , 889
0,909
0,932
0,972
9 l::i
U
0,882
0,845
0,836
0,865
0 , 860
0,856
0,882
0,906
0,885
0,927
1,0.1.9
1,004
30
V
0,864
0,908
0,832
0,850
0,874
0,877
0,870
0,922
0,388
0,977
1,014
1,013
U!
1-103
.! ,065
1,098
i. , (.1 6 '.:?'
I ,099
1 ,09;,:
l ,08;-:
:i . 070
.1. ,():??: v
:l ,076
1 ,084
:i , o3H
w
1.115
1,091
1 , 0 6 .??'
1,058
1 ,042
1 , 0 :l :!
1 ,023
1 ,01 1.
0,998
1 ,013
J ,044
:! -0:12
w
1 ,266
1 ,.1.90
:l ,:I07
1,084
1,069
1 ,053
1,014
1 ,025
0,947
0,993
0,957
0,947
LI',.'
0. 457
0,4;:; 7
0,452
0,<143
0.449
o< 42V
0,396
0<388
0,3 "'7
0*337
0,23v
0 ?? '?..."..'/
W
0*475
0,454
0, 454
0,464
0,432
o,432
0 , 408
0, 406
0< 371
0,363
0,299
O,252
IK-'
0,529
0,507
0,473
0,444
0,426
0-428
0 , 4 1 4
0,409
0,367
0,346
0,326
0,280
UK: v'U
- 0-4:18 ??? 0,11V
-0,48^ -0: 26!.';
? i) ,. 579 ???:>, \ v:i
?-0.. 660 ????0.3,:!
???(.?> . 770 ? ?'") * 2/4
??? ', ' ,. HU/C ???(' ? Z ',. 2
?? 0 . !:,.\4 ?'.'?? -.'? 36
??? o < ?? i y 4 ? "? ? j ??''.?
? O..V38 v ?:.8??0,946 ??;.', 3;' ;?'
??0. ??? i;; j . ?,;?;"?
? >.l ,,?.!;: ? ? i ....
(.1(4 ','l?l
???0,223 ?-0,060
?0.31.2 -0,094
-0. 37;;. ?? 0.. lol.
- 0 . ??'', 80 ?? 0 v 033
?? 0,5-16 ??<?' 7 1 /
???0 - .f..2--l ? ?'.' : 22','i
?-0,6Vo -0,3; '3
??"0 '? '??''?:'"?' '() ?? 2o6
?? 0 * 75G - 0 v ,^63
????0< 78 /' ???(; . 302
?-0,782 -'), 33 . ?'
???? 0//32 -0, '*!?.'
I.II-.I 'v'('J
-0*125 ????0,124
-0' I'-'-l -?0:054
??0,224 0,006
?-0,29s ? -0-088
????0,378 --0,072
?-0 , 440 -?() , 1 16
????0,516 - 0,3 8 7
????0,563 --0,256
?-0 , 590 -0 , 1 (:'0
???0,602 ""Ov267
????0,592 -0,1.99
-?0,592 -0*222
i.j
2 ?? 1.. 5 4? , .1. r- 1
"??' .. !. y 2
? ' '.? !\. ?' >?'?-
2 ,. '?' '-I '">
9 ',"?' ' ?''?
?,:. - 2 1 :i
* .; -./
.'':i ?*) ./?.
.: . "oi.
; j
???> ??) /, ..;
'"> , 'I " ';
:: .084
: ? - .1 i. /?
2 , .1 0 ,-?'
2- 108
:"! I.-S6
?:- 1 66
2- :i 5'-1
2 - .i 9;'.!
?.,28;i
.,-.. ' .,-:. .-.' S .!
Q
2,455
7,28<->
!%?;' v ^-' '"' i/
2.050
2 ,060
2*053
2,050
2,10V
2.030
2, 1.20
2 , :i 1 3
2,093
? 1 0 *
060 "
C? O ]' ?
8??*
09? *
?v't't' 4
99i;.;*
? 'i: ? ''
?86 "
8 8 14
6?t>- 4
? ? & *
Li
SOB4
6?8'
988 "
606 4
6?6 *
?66 "
SfrO 4
Hy i: 4
89? *
889 4
r
i:
i
i:
r
I
i:
i
i:
".>'
'<:
i
i
T
i:
i:
r
i:
i:
Z
?
?._v
6
090*0-
?30< ()?-
??0 : 0--
1:2,1: 'o-
9 OT" o-
fi'-^O ' i'1*--
0 8 0 " 0 ? ?
SfV.O*0-~
lt-04 o
?31 " 0-~
IZl-O-
TSO'O?
f'ln
To'l 4 (>???
H>?"0"
?!Ti:40-
O0'i:*0-
?OT40--
?90 '0
t>-i040-
?tX)40~-
?60*0-
Oi- i. *0--
?9'i:40--
?81.' ''0--
'-. O ?'(>-
?;?? ;."?? ???'?? ?> ,;?;, ....
f. -.V ??>? .! i ., ....
0 T ? " 0 -? 9 r 4 o ????
f.lc'i: "('????
{?f.;o*o--
??0 "0- ?
6^0 ; 0-
|V'j | i
C.) V V"' ' ( "l ?- ?
vvVp * 0 ?
v !? v '\^ ""
i'"i i"* A.. 'f r\bV. v O'"
/ |! vv * i j ?
i:6?M)--
t-Mi'/O"
063 40--
?'l ?40--
??1 40--
860 4 0-
08 0*0?
??0' 0
,:'0'l- "0
.?'. i?- T 4 0
t'Oi: * <)
O '? '!. * k/1
6 !..i 3 " 0
883 4o
'"' J-v" '; Tt
A, '/ /.. \.
/ ,.?:., ? ?> A
'..;???{:.??> o
i/ ? f) * 0
i:?9?e
f'lfl
003*0
t>-/.34 0
!? ' A ' ' * *?
OS?" U
/. 8 ? % 6
,<.Oi-4()
?t't"40
E^fc--4 0
8 T ? 4 o
86G40
tv894 0
'.-.69*0o,::;/; o
''.'? '> ' /. " ' '
iic^/O
c^B'O
836*0
000" T
:-l?i:* I
:;l??* I
t-3?4 I
f>t>*T
f'l
,-,06*0
096 4C
?66*(.
SCO'1'
?80* '
i:?1 4 '
f:-;8'l. * '
?8?* ':
99?'J '
Ot-?*
T?/4
9?? ':
91.?"
f.':n:' /. "
/ ??' / ?:?
T8?4
9 T 8 4
6 T 6 4
??6"
So 6 '
80 O4
A
(;
i \ j'^ / *
688*
698 '
t'?84
Zf. 84
??o4
??8V
?06 4
i.'-36"
0 600* f
0 6SO*'i:
C <:-\6\. 4 f
o '.?,6'!: " i:
o 9??->l
o ?934'i:
0 9 ? ? ' I
o t"!.':;?*'i:
0 ^Ot/ * i:
0 90^ 4 1:
l: ,x;.?<-- -|
n
0 8!::1?4 1.
0 ?!/ 1 V 4 1
0 O?F * T
0 ?t^4'l.
0 0?t?4T
0 T?t'4i:
0 ty?.fr* 1
0 9Cp * I
0 30S*'C
0 0?9*'i:
f'8i: 4 1:
060 4 1:
?66 "0
t",;6" 0
n:840
8 T ? " ()
fl?940
3?S '0
6?t'4()
9V?4()
?C340
09T*0
N^'"
9 OT 4 I
? .' f\ ?> '!'
! ' \\ i"'t '' *''
o r 6 4 o
6 ?'. 8 * 0
6?? * 0
059*0
09S*0
i:?iv *0
?8? *0
363 * 0
?03*0
f1A fin
21
SCAN ANGLE 45
Y/YMAX U V U U'v1 UW UW Q
0.126 1,693 0*982 .1. ,423 0,638 0,015 -0,37s 2,929
0,199 1,536 0,924 1,310 0,570 0,025 ????0^:1.06 2-466
0,272 1,425 0,923 1,227 0,512 0.000 -0,073 2,194
0,345 1,310 0,860 1,105 0,398 0,009 -0,:!59 1,83</
0,419 1,228 0,315 1,013 0,329 -0,028 --0,020 1,399
0,492 1,148 0,743 0*918 0,245 -0,039 -0*049 1,3 5 6
0,565 1,064 0,724 0,857 0,194 -0.049 -0,027 1,1.95
0,638 1,014 0,686 0,783 0,146 -0,033 -0,059 1,055
0,712 0*950 0,664 0,7:19 0,1.04 -0,020 --0,054 0,93:!
0,785 0,894 0,653 0,687 0,063 --0,004 ? 0,(H9 0*34*
0,858 0,859 0,638 0,639 0,025 0-004 -0,0/4 0,777
0,931 0,838 0,662 0,649 ?-0,014 0,008 -0,028 0,;'BO
1,005 0,836 0,671 0,647 --0,059 0,01.2 -0,033 0.78-1
1,078 0,862 0,693 0,662 -0,107 0,003 0,002 0,831
1,151 0,905 0,714 0,696 -0,157 0,015 --0,054 >.>,907
1,224 0,972 0,720 0,708 -0,198 0,005 -0,019 0,983
SCAN ANGLE 50
Y/YMAX LI V W UV UW VU Q
0,160 1. ,693 0,988 1,404 0,^677 0 , 1 1 1 -0,137 2,907
0,253 1. ,562 0,962 1,287 0,639 0.107 -0,118 2,51!.
0*346 .,457 0,926 1,208 0,532 0<090 -0,148 2,21?
0,439 .,330 0*907 1,126 0-443 0,076 -0,034 1,929
0,532 .,218 0*351 1,019 0,360 0:058 ???0*048 1.623
0,625 .,120 0,770 0,909 0,250 0,075 -0.049 .!. ,337
0*713 .,019 0,751 0,844 0-191 0,099 -0,073 1,158
0,811 0,946 0,755 0,783 0,129 O..I.OO -0,004 1,039
0,904 0,907 0*724 0,777 0,066 0,125 -0,038 0^75
0,997 0,891 0,710 0,749 0,035 0,144 0,003 0.930
1,090 0,334 0*720 0,744 -0,002 0,147. 0.025 0,927
1,134 0*395 0,714 0,739 -0,031 0,150 0.01-* 0,928
14
3. REYNOLDS NUMBER OF 46.3 x 10?
3.1 Wall Shear Stress Distribution
AIR DENSITY 1.21.8 KG/MKK3
KINEMATIC VISCOSITY 1.475E-05 M**2/SEC
AVERAGE WALL SHEAR STRESS
ANGLE AND TW(THETA)
0.2412 PA
0.
-9.
25,
39 *
55.
70 .
85.
20.
34,
50.
64.
80 .
0
9:l.
9
0">
?V..
0
0
9
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
.202
.209
.256
.283
.274
.225
.157
.252
. 287
.294
. 240. :i. 73
4
?-15
-30
-45
-60
-75
9
25
39
54
70
84
.9
.2
.0
.1
.0
.1
*8
.0
.8
.9
. 1
.9
0
0
0
0
0
0
0
0
0
0
0
0
.209
.225
.263.29:1.
.263
.202
.221
.267
.29.1.
.281
.223
.157
.-.<"o
-20
_ "X '?'O \.J
-50
-64
-80
15
29
45
59
75
,0?:l
.0
.1
.9
.1
.1
.9
.0
.9
.0
0
0
0
0
0
0
0
0
0
0
0
.207
.243
.276
.285
.240
.173
.234
.278
.298
.256
.202
3.2 Mean Velocity Profiles
MEAN VELOCITY AT -60.0 DEGREES.
WALL SHEAR STRESS 0.2631 PA
FRICTION VELOCITY 0.4648 M/SEC
Y CM) V (M/SEC) V-f
0.00240
0.00290
0.00340
0.00440
0.00540
0.00640
0.00739
0.00840
0.01040
0.0:1.240
0.01439
0.01639
0.0.1.840
0.02040
0.02339
0.02839
7 . 320
7.450
7 . 530
7.700
7.950
8.160
8.350
8.470
8.7.1.0
S.940
9.100
9 . 270
9.380
9 . 450
9.400
9.250
75 . 6
91.4
107.1
138.7
170.2
201.7
232.9
264.7
327.7
390.8
453.5
516.5
579.8
642.9
737 . 1
894 . 6
15.748
16.028
16.200
1 6 . 5 6 6
17.104
1.7.555
17.964
1.8 . 222
1.8.739
19.234
19.578
19.944
20.180
20.331
20.223
.1.9.901
15
MEAN VELOCITY AT -50.0 DEGREES.
WALL SHEAR STRESS 0,2850 PA
FRICTION VELOCITY 0,4837 M/SEC
Y (M) V (M/SEC)
0.00240
0.00290
0.00390
0.00489
0 ,00589
0.00689
0.00790
0,00890
0.00990
0.0:1.189
0,01389
0.01590
0.01789
0.01989
0.02289
0,0258^
0.02889
0,03.1.89
0,03489
0,04589
MEAN VEI...
7,800
7,920
8.110
8,330
8,590
8,690
8,870
8,920
9,120
9,360
9,540
9,680
9/780
9,950
10,090
10,130
10,180
1.0,170
10, 150
9,990
0 CITY AT -
WALL SHEAR STRESS
FRICTION VELOCITY
78 , 7
95,1
127,9
16 0,4
193.2
225,9
259 , :l.
291,9
324 , 7
389,9
455,5
521,4
586.7
652.3
750 . 6
849,0
947,4
1045,8
1144,2
1504,9
?45.0 DEGRIi
0,2908 PA
0,4886 M/<:
16,125
16,374
16,766
17 * 221
17,759
17,965
18,338
18,441
18,854
19,351
19,723
20,012
20,219
20.570
20,860
20,942
21 ,046
21,025
20,984
20,653
;:ES,
SEC
Y (M) V (M/SEC) Y-f V-f
0.00240
0,00290
0,00390
0,00489
0.00589
0,00689
0.00790
0,00890
0.01090
0.0.1.290
0.0.1.489
0.01689
0.01889
0,02089
0,02390
0.02789
0.03189
0,03589
0,04089
0,04589
0.05089
0,05589
0,06089
0.06589
7.800
8,000
8.230
8,540
8,690
8,800
9,01.0
9,090
9,360
9,570
9.630
9,890
9,990
10.150
10.270
10.400
10.470
10,470
.1.0,430
1.0.250
9.990
9,620
9.250
8,800
79,5
96,1
129,2
1.62,0
195,1
228 , 2
261,7
294 , 8
361,1
427,3
493,2
559,5
625,7
692,0
791,7
923,9
1056,4
1188,9
1354,5
1520,1
1685,7
1851.4
20.1.7.0
21.82,6
15,964
16,373
16,844
17,479
17,786
18,01.1.
18,440
18,604
19,157
19,587
19,709
20,242
20,446
20.774
21,019
21,285
21,429
21,429
21,347
20.978
20,446
19,689
1.8,932
1.8. Oil
16
MEAN VELOCITY AT -40,0 DEGREES,
WALL SHEAR STRESS 0,2847 PA
FRICTION VELOCITY 0,4835 M/SEC
Y (M) (M/SEC) Y+ V-f
0,00240
0,00290
0,00390
0,00489
0,00389
0,00689
0,00790
0,00890
0,00990
0,01:1.89
0,01389
0,01590
0,01789
0,01989
0,02289
0,02589
0,02889
0,03189
0,03489
0,04589
7 * 800
8,000
8.300
8 , 350
8,640
8,820
8,960
9 , 050
9 , :l 40
9,400
9,570
9,780
9,920
10,030
10,200
10,310
10,430
10,470
10,500
10,340
78 . 7
95 . 1
.1.27,8
160,3
193,1
225,8
258,9
291,7
324,5
389,7
455.3
521,1
596 , 4
651,9
750.3
848,6
946,9
1045,2
1143,6
1504.1
16,134
16.548
.1.7.168
17,272
17,871
18.244
18.533
18,719
18,906
19,443
19,795
20,229
20,519
20.747
21,098
21,326
21,574
21,657
21,719
21,388
MEAN VELOCITY AT --35.0 DEGREES,WALL SHEAR STRESS 0,2762 PA
FRICTION VELOCITY 0,4762 M/SEC
V (M/SEC)
0,00240
0,00290
0,00390
0.00489
0.00589
0.00689
0.00790
0,00890
0,00990
0,01189
0,01389
0,01590
0,01789
0,01989
0,02189
0,02490
0,02789
0,03889
7,640
7,800
8,130
8.300
8.500
8,640
8,780
8.940
9,050
9,250
9,400
9,550
9,660
9,830
9.9.1.0
9,990
10.110
10,230
77,5
93,6
125.9
157.9
190.1
222.4
255.0
287.3
319.6
383.8
448.4
513,3
577 , 5
642,1
706,7
803,8
900.4
1255.5
16,044
16.380
17,074
17,431
17,851
18,145
18,439
18,775
19.006
19,426
19,741
20.056
20,287
20,644
20,812
20,980
21.232
21*484
17
MEAN VELOCITY AT -30,0 DEGREES*
WALL SHEAR STRESS 0.2631 PA
FRICTION VELOCITY 0,4648 M/SEC
Y CM) V (M/SEC) Y+ V-i-
0,00240
0,00290
0,00390
0,00489
0,00539
0,00689
0,00790
0.00890
0,01090
0.01290
0,0:1.489
0,0:1.689
0,01889
0.02089
0,02289
0.02789
7,490
7,690
7 , 880
8.110
8,250
8,470
8,540a, 7 .1.0
8,920
9,030
9,230
9,360
9,450
9,530
9,580
9,660
75 , 6
91,4
122,9
154,1
185,6
217,1
249,0
280,5
343,5
406.5
469,2
532,2
595,3
658,3
721,3
878,9
16,114
16,544
16,953
17.443
17.749
18.222
18.373
18.739
19,19:1.
19,470
19,857
20,137
20,331
20,503
20,610
20.783
MEAN VELOCITY AT ?
WALL SHEAR STRESS
FRICTION VELOCITY
. 0 DEGREES,
0,2559 PA
0,4584 M/SEC
Y CM) V (M/SEC) V-f
0,00240
0,00290
0,00340
0,00440
0,00540
0,00640
0.00739
0,00840
0,00939
0,01139
0,01340
0,01540
0,01739
0.02339
7,370
7,480
7,600
7,800
8,010
8 , 200
8.290
8,410
8.500
8,650
8,800
8.870
8,960
8.960
74 , 6
90 , 1
105,7
1.36,7
1.67,8
1.98,9
229 , 6
261,0
291,8
353,9
416,4
478,6
540.4
726,8
1-6, 079
16,319
16,58.1.
17,017
17,475
17,890
18,086
18,348
18,544
18,872
19,199
.1.9,352
19,548
19,548
10
MEAN VELOCITY AT -20.0 DEGREES.
WALL SHEAR STRESS 0.2428 PA
FRICTION VELOCITY 0.4464 M/SEC
V (M/SEC) Y-f V-f
0.00240
0.00290
0.00340
0.00440
0,00540
0.00640
0.00739
0.00840
0.00939
0.01:139
0.01340
0.01540
0.01540
0.01939
7.150
7.320
7,430
7.640
7.800
7,950
8.060
8.180
8.230
8.350
8,400
8,450
8,450
8,300
72.6
87.8
102.9
133.2
163,4
193.7
223,7
254,2
284.2
344.7
405.6
466,1
466.1
586,9
16.015
16.396
16.642
17,113
17.471
17,807
18,054
18,322
18,434
18,703
18,815
18,927
18,927
18,591
MEAN VELOCITY AT -
WALL SHEAR STRESS
FRICTION VELOCITY
15.0 DEGREES,
0.2248 PA
0.4296 M/SEC
Y <M>
0,00240
0,00290
0,00340
0,00440
0.00540
0,00640
0,00739
0,00840
0,00939
0,01040
0,01139
0,01240
0,01439
V (M/SEC)
6,860
7.030
7,150
7,370
7,530
7.630
7,760
7,850
7,900
7,950
7,950
7,900
7,850
Y-f
69,9
84.5
99,0
128,2
157,3
186.4
215.3
244.7
273,5
302,9
331.8
361,2
419.1
V-f
15,967
16.363
16.642
17,154
17,527
17,759
18,062
18.272
18.388
18.504
18.504
18.388
18.272
19
MEAN VELOCITY AT -10.0 DEGREES..WALL SHEAR STRESS 0.2094 PA
FRICTION VELOCITY 0.4:146 M/SEC
Y (M) V (M/SEC) Y+ V-f
0.00240
0.00290
0.00340
0 . 00440
0.00540
0.00640
0.00739
0.00840
0.00939
0.0:1040
0,01139
0.0:1.240
0.01340
0.0:1.439
0.0.1.639
6.620
6.800
6 , 950
7.150
7.320
7.430
7.480
7.590
7.590
7.510
7,430
7.370
7.200
7.030
6.620
67.5
8.1. .5
95 . 6
123.7
151.8
179.9
207.7
. 236.1
263.9
292 . 3
320 . 1
348.5
376.6
404,5
460.7
15.968
16,402
16.764
17.246
17.656
17.92.1.
18,042
18,307
19.307
18.114
17.921
17,777
17.367
.1.6.957
15,968
MEAN VELOCITY AT
WALL SHEAR STRESS
FRICTION VELOCITY
-5.0 DEGREES.
0.2067 PA
0.4120 M/SEC
Y (M) V (M/SEC) Y-f V-f
0.00240
0.00290
0.00340
0.00440
0.00540
0.00640
0.00739
0,00840
0.00939
0,01040
0,01139
0.01240
6,620
6.680
6.860
7 , 030
7.200
7.290
7,340
7,370
7,290
7,200
7.030
6,800
67 , 0
81,0
95.0
1.22,9
1.50,8
1.78,8
206,4
234 , 6
262,3
290,5
318,1
346,3
16,069
.1.6.214
.1.6,651
17,064
17.476
17.695
17,816
.1.7,889
1.7,695
1.7,476
17.064
16.505
20
MEAN VELOCITY AT
WALL SHEAR STRESS
FRICTION VELOCITY
0*0 DEGREES,
0.2022 PA
0,4075 M/SEC
Y (M) (M/SEC) Y-f
0*00240
0,00290
0*00340
0*00390
0,00440
0 . 00489
0*00540
0*00589
0*00640
0,00689
0*00739
0*00790
0*00840
0,00890
0,00939
0,. 00990
0*0.1.040
0,0:1.090
0,01139
0,0.1.189
0,01240
6,680
6*670
6*730
6,920
6 , 990
7,150
7,200
7,200
7,230
7,290
7,290
7 * 320
7,260
7,230
7,200
7,120
6*980
6,920
6,800
6,650
6,560
MEAN VELOCITY AT
WALL SHE
FRICTION
AR STRESS
VELOCITY
66,3
80,1
93 . 9
1.07,7
1.21,6
1.35,1
1.49,2
1.62,7
176,8
190,3
204,2
218.2
232.1
245,9
259,4
273,5
287,3
301,1
3 1 4 , 7
328,5
342,6
5,0 DE
0,2096
0,4149
16*393
16,369
1 6 , b 1 6
16,982
17.154
17*546
17,669
17*669
17,743
17,890
17,890
17.964
17,816
17,743
17,669
17,473
17*: 12 9
16,982
16,688
.1.6,319
16,099
GREES,
PA
M/SEC
Y (M)
0,00240
0,00290
0.00340
0,00390
0,00440
0*00489
0*00540
0,00589
0,00689
0,00790
0,00890
0,00990
0,01090
0,01.189
V (M/SEC)
6.650
6,740
6,860
6,980
7,090
7,150
7,260
7,290
7,320
7,400
7,320
7,260
7.090
6,890
Y+
67,5
81,6
95,6
109.7
123.8
137,5
151,9
165.7
193.8
222, 2
250,3
278,5
306,6
334,4
V-f
.1.6,029
16,246
16.535
16.824
17,089
.1.7,234
17.499
17.57.1.
17.644
17,837
17,644
17,499
.1.7,089
.1.6,607
21
ME!AN VELOCITY AT 10*0 DEGREES,
WALL SHEAR STRESS 0*22:1.5 PA
FRICTION VELOCITY 0,4264 M/SEC
V (M/SEC) Y+ V-f
0*00240
0*00290
0.00340
0*00440
0*00540
0*00640
0*00739
0*00840
0 * 00939
0*0:1.040
0*01139
0,0:1240
6,800
6*890
7*030
7*230
7.3<?0
7*530
7*570
7*630
7*640
7*6.1.0
7*480
7*370
69.4
83.8
98*3
.1.27*2
156.1
185*0
213*7
242*9
271*5
300*7
329*3
358*5
15*946
16*157
16*486
16,955
17.212
17*658
17*752
.1.7.893
.1.7*916
17*846
17*541
17.283
22
3.3 Reynolds Stresses
SCAN ANGLE
Y/YMAX
60
UW MU1
SCAN ANGLE
Y/YMAX U UU)
Q
0*
0 ,o.
Q,
0*
0*
0.
0.0,
:ui?
it
236 :
3234:i.o
497
585
672
759
846
934
02.1.
.1.08
195
..816
.,745
1. ,681
1. ,605
1. ,550
L ,467
1. ,369
.,313
.,254
.,200
.,135
.,196
0,970
0,973
0 , 959
0,921
0,877
0,871
0,845
0,832
0,838
0,811
. 0,814
0,812
1,221
1,209
1 ,158
1,099
1,055
0,987
0,934
0,870
0,847
0,796
0,773
0 . 737
0.
0.
0,
0,
0,
0,
0,()?
0,
0,
0.
. --0,
664
643
615
549
490
433
356
287
189
126
041
028
-0 ,
?-0,
?-0.
-0,
-0,-o.
????<>,
-0 ,
-0,
-?(),
?-0,
?-0,
123
126
147
152
.1.86
1.57
187
204
2 ;|. 2
221
241
251
-0,041
-0,125
0,084
0 , 026
0.097
0,091
0,049
0.042
0,039
0,056
-0,002
-0,000
'?>At.
1XL
O
A?
'?}A?
';>i
ii
ii
ii
,865
,726
,543
.317
.144
,942
,730
,586
,496
.366
,332
,317
Q
0,147
0.240
0,333
0 , 426
0,519
0,612
0,705
0,798
0,892
0,985
1.078
1,171
SCAN
Y/YMAX
0.189
0,262
0,335
0.409
0,482-
0,555
0,628
0 , 702
0,775
0,848
0,921
0,995
1 .068
1,141
1,214
1,866
1,824
1,704
1,572
1,408
1,280
1,180
1 , 1 2 1
1,102
1,123
1,189
1,189
ANGLE ?-
U
1. ,849
1. ,700
1. ,572
1,428
1,298
1.154
1,070
0,998
0,936
0,938
0,943
0,941
0,960
1,009
1 , 077
0,996
0,982
0,921
0,887
0,855
0,802
0,757
0,740
0,745
0,755
0,744
0,779
? 45
U
0 . 906
0,860
0,820
0,779
0,748
0 . 729
0,681
0,658
0,662
0,636
0,626
0,647
0,670
0,669
0,721
1,393
1 .247
1 ,158
1,059
0,968
0,880
0.789
0,735
0,723
0,723
0 , 703
0,712
W
1,235
1,128
1 , 042
0,965
0,891
0 , 843
0,745
0,69.1
0,688
0,656
0,611
0,627
0,643
0 . 673
0,700
0,717
0,675
0,601
0,515
0,417
0,312
0,201
0.092
0,012
?-0,045
??-0,093
-?(), 117
UU
0,649
0,543
0,499
0.405
0.311
0,248
0, 176
0.122
0,053
??-0,016
?-().<) 4 4
-0.090
-0,142
-0,180
-0,258
-0,115
-0,077
-0,046
-0,094
-0.091
-0,111
-0,151
-0,184
-0,235
-0,278
-0,300
-0.310
UU
0,041
0.005
0,020
-0.007
-0,008
-0,042
-0,056
-0,077
-0,099
-0,125
-0,127
-0,113
-0,112
?-0.096
-0,105
-0,057
0,070
0.023
0,143
0,022
0,003
-0,031
-0,046
-0.057
0,016
-0.042
-0,041
UW
0,008
0,008
0,044
0,049
0,055
0.038
0,0.1.3
0 , 055
-0,000
0,006
0,005
-0.049
-0,063
-0,063
-0,066
3.206
2,924
2,546
2,189
1,826
1,527
1.294
1 , 1 72
1,146
1 , 1 76
1,231
1.264
Q
2,883
2,451
2,115
1,789
1.520
1,287
1,082
0,953
0,894
0,857
0,827
0,849
0,892
0,959
1,085
88?*3
099*3
9T9*3
6t>-9*3
3?9 *3
369*3
6?9*3
869*3
t*96'S
0
03? * T
98?*T
t>-?8 * '/?'
V86 ' i:
630*3
390*3
?3i:*3
8?3*3
9?? *3
1:^9*3
68?*3
Q
998*0
1^6*0
990 * i:
033* i:
99?'i:
Ov-9* i:
.?89 * I
006*1:
990*3
i: i: ?.' * 3
3??*S
01:3*
:'0*
T V i: '
Oi:i*
?30 *
i>'?0*
690*
991*
MA
??l*
? i: f *
39 1'*
frSO*
3t>'0 *
??0*
800 *
390*
ZVQ *
6?0*
T?0*
MA
St/0*
?.01: *
680 *
t>'90 *
?t?0 *
H.X) *
980 *
600 *
090*
t>-?0 *
?9'f*
0
0
0
0
0
<>??-
0-
r> ????
0-
0o
0
0
0
0
0-
f } ?.-
0-
('t ?
0-
0
0
0
0
0
0
0
0-
A?
0-
0-
069*0
699*0
069*0
88KO
8?fr*0
???'0
8?3*0
EfrS'O
fin
30fc-*0
60t>-*0
90fr"0
t^K 0
i: i: t? * 0
t>??* 0
8T?*0
t>-93*0
933*0
??I " 0
/ {?>? '[ ? 0
fill
8H>*0
t>-60'0
63T*0
99i:*o
?91*0
68i:*o
0?T ' 0
391. '0
8?i:*o
?i:i:*o
?t>-i:*0
08?*
OV'V *
?QV't^ *
339*
9?9*
999*
399*
069'
i:?9*
All
963*
?0?*
8?? *
???'
6 1: b *
i: 1 V *
03t^'
?9t"*
9i:9*
9?9*
099*
All
930*
680*
99'E*
?03*
8?3*
trOE*
3fc--?*
06?*
6?t?'
i:t>-9*
1:09*
0
0
0
0
0
0
0
0
0o
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
?00
900
9?0
t^90
880
9?i:?>T.
t>-?'i:
?6i:
063
n
t>V8
968
688
?96
?96
9 TO
l.'f/0
880
VE'f
8?T
9V-3
n
9?9
i: i: L
3??
018
9?8
i:i:6
^6
i: i: o
OtrO
89i:1:33
*0
*?[
*i:
*i:
*l
*i:
*i:
*T
* 'i:
*i:
*i:
*0
*o
*o
*o
*o
* i:
* T
*i:
* i:
* i:
*i:
?0
*0
*o
*o
*o
*o*o
*. T
*i:
?i:
*i:
?36*0
T?6*0
696*0
096 * 0
i:Q6*0
0 1: 6 * 0
?1:6*0
?t^6* 0
368 * 0
?06*0
696*0
A
0? -
998*0
098*0
t>'?8 * 0
?38*0
098*0
t>-98 * 0
698*0
t'98*0
? 1:6*0
888*0
I ?6*0
A
9? -
6?9*0
669*0
i:i:?*0
???*0
69?"0
T6?*0
08? *0
?08 * 0
T08*0
??8*0
898*0
6??*
63 ?*
???*
?9? '
9??*
9??*
93?*
39?*
???*
8i:s*
n
?? 319
96?*
93t^*
t'OS*
Et'S*
9t"9*
8?9*
399*
969*
?39'
90?*
8?? *
n
- 319
068*
9t>-6*
9?0*
t" T T *
66T*
9?3*
69?*
09t'*
?|:?9*
3V9*
?T8*
T
T
i:
i:
i:
i:
T
i:
i:
i:
i:
't
i:
i:
i:
i:
I
i:
i:
i:
0
0
i:
T
i:
i:
I
i:
i:
i:
i:
80i:*i:
1:30*1:
tr?6*0
69?*0
3?9*0
?89 * 0
?6tr*0
O'Ctr'O
?3? * 0
XtfWA/A
Nms
0?i:*'C
T80*T
i:66'0
306*0
3 1:8*0
?3?*0
??9 * 0
trt>'9*0
99^*0
99?*0
9?3*0
XVWA/A
Nyos
T?i:*i:
8?0 * I
986 * 0
368*0
86?*0
'90?*0
3T9*0
6i:9*0
93ty*0
???'0
0^3*0
0 f'lf^ Mil All fl A
?trO*?
090 *?
SEO ' ?
090 *?
?TT*?
OG'i:*?
0?0*?
922* ?
8GT*?
S 9 ?(.'*?
0?T*?
0
?c6*2
2 T 6 * 2
288*2
?T6*2
6 ?6 *2
T?8*2
S?6 * 2
896*2
096 * 2
/ "v / & ?v6 <., 6 c
9?6*2
0
q/QV
OE?*2
T2?*2
?G? *?
G08 *C
9*?*2
t"??'S
T??*?
?()? * 2
??? * S
??? * 2
0
8T2*0
802*0
?82*0
?82*0
Otr2*0
OT?*0
2 ?1*0
T8T*0
GO 2*0
88'f*0
GTT*0
MA
???*0
8*2*0
80?*0
0?2*0
S2T*0
1:22*0
2*1*0
8 ?0*0
*80*0
G*'i: * 0
8 T0*0
MA
?|.'8T*0
8SS*0
2?2 * 0
S9T*0
G?'i: *0
?80*0
8?0*0
60T*0
6*0*0
1:90*0
S*0*0-
MA
862 * T
28?*1
2tr2 * 1
6GT*1
02T*1
9'fO'l
8?6 * 0
i:08*o
rin
?|.'60* i:
?01*1
*?0* T
?80 * T
?*0 * I
8S6*0
?96*0
888*0
?8?*0
2?9 * 0
0?G*0
fin
288*0
2S8*0
*9Q*0
198*0
928*0
?8?*0
989*0
G6G*0
?8**0
2S**0
0??*0
M/1
6??*0
86?*0
I* C,t v \t
iv O Jy * f\
T?>* 0
82S*0
ty T G * 0
GGS*0
69G*0
All
02V- * 0
G?t?'* 0
?9i/ * 0
2i:s*o
G6i' * 0
2?G * 0
8?G*0
8VG* 0
2?S*0
09G*0
9?G*0
AD
22^*0
9V\r * 0
V'8*>'* 0
?TG * 0
STS*0
?.OG * 0
?3G * 0
8?S*0
t/GG*0
89G ' 0
S6S * 0
Afl
8i:2'i:
2S2*T
??2*i:
682*1'
6S2*T
2T?*T
S82'i:
883 * 'I-'
?G2*i:
PI
8?J*J
6 T T * 1
T ?'[*'!
trST*l
281*1
?2T*'I
v 0 ("/ I-
..y .,._, ?._. ^ ...<..<:,<:, 1.
?22->1
TT2*1
ITS4'!
PI
9frO*T
?80* T
280*'f
9 01*i:
?9i: * i:
9?i:*i:
9t"T ' T
2ST*T
Ot'T * T
98T*T
??T*T
n
??6 ' 0
216*0
?06*0
896*0
888*0
966 ? 0
2S6*0
?96*0
??6 * 0
A
si ??
800*1'
6t^6 *0
?96*0
Tb6*0
OS6*0
6T6*0
9G6*0
T?6*0
086*0
?G6* 0
I?6<0
A
02 -
6?6*0
?86 * 0
OS6*0
296*0
200*1
0?6 * 0
2G6 * 0
836*0
616*0
626*0
016*0
A
GS -
1fr6*1
926 *'[
1?6*1
Tt'6* T
??6*1
6?6 ' 1
??6 * 1
2?6*i:
n
' :riaw
S88*T
9 i:6'T
?88* T
668*1
26 8*1
?06*1
*68* T
T?8*T
198*1
t'98* T
198*1
n
' 3n?)Ntf
9T8*T
?T8'T
9?8*1
V?8* T
108*1
908*i:
?6?*T
608*1
908*1
2 1 8 * T
OS8*1
n
- 3 "19 NY
??1* 1
966*0
826*0
098*0
T6?* 0
?2?*0
*G9* 09 as * o
81S*0
X:YWA./A
NY OS
C9T*i:
060*1
8 TO* 1
9V 6 * 0
tr?8* 0
T08*0
6ZL * 0
<?G9* 0
S8S*0
?1S*0
TW*0
XWWA/A
NWS
/*T*T
0?0 * 1
?66*0
?16*0
8?8 * 0
09?*0
?89*0
909 * 0
82S*0
TGtr "0
??? * 0
XWA/A
NY3S
9^8*2
? T 8 * 2
808*2
2??* 2
6??* 2
?6? * 2
?8? * 2
?08*2
86?*2
??6<c
i:?6*2
0
926*2
0?6*2
? i: 6 * 2
i:?8*2
0?8*2
T?8*2
??6*2
9S6*2
066*2
980*?
T60*?
0
i: ()(>*?
'C20 * ?
2 ()()*?
Oi:0*?
OS6*2
986*2
OK>"?
T20*?
9?0*E
22 i: * ?
Oi:i:*?
0
IT 0*0-
6GO ' ()????
990*0-
?90*0-
280*0""
E9TO-
9t>0*0~
i: ?T <>????
tr 9 T (>????
6TTO-
frTT'Q-
flA
TO 'TO
V60*0
9GO*0
2 TT 0
60 'TO
0?TO
H30*0
920*0
690*0
900*0
6frO*0
MA
992*0
?6 'TO
26 'TO
012*0
8Gi:*o
t/9()*0
6GTO
? i: t * 0
92i:*0
G2'TO
??0*0
PI A
82 TO
89 TO
??TO
96 TO
961*0
860*0
9t-TO
ETT'O
?Gi: *0
2tr'i: * 0
660 ' 0
MM
?98*0
?t>'8*0
I ?8*0
?6?*0
?9?*0
28?*0
?8?*0
?0?*0
fr9?*0
tr89*0
829*0
nn
?|:ST*I:
29 2*1:
??2* I
8?TT
we * i:
09l'i:
f/80'i:
220 * l."
?86*0
v-t?;6'0
i:i:8*0
pin
?22* 0-
291*0?
92 T* 0-
980*0-
2TO*0
I?0*0
9 1 TO
SKI: *o
28T*0
'f 82*0
i:i?*0
An
??0*0?
8 1:0*0
2 ?0*0
?80 * 0
09 TO
98 TO
622* 0
G62*0
T0?*0
28? * 0
?6?*0
AD
9ETO
S8'TO
932*0
?82*0
V?3 *(>
92?*0
89?*0
?0t'*0
6?t>'*0
9?t' * 0
?fOG*0
Afl
v l s * i:
9?S*i:
?"?* /** r*% * T
t^?G * T
099*1
?99 *T
??G* T
OE9*T
?St>-*i:
9i:G*i:
8T9*T
PI
E8t>i
209 *T
t>-OG* i:
tx9tr* i;
09V *i:
sst^'i:
?6^* i:
?8ty * i:
v 6 v * '{:
v/ 1?' * l:
9?tr*T
PI
9S?* T
09?*i:
68?*i:
?t-?*i:
T9E*T
?9?*T
6??*I
?2? * '!?'
9*/?* T
69?*T
80E*T
M
088*0
??8*0
898*0
OH3*0
t'V8 * 0
'tV8*0
808*0
K>8*0
fr8?*0
?6? * 0
?)T8*0
A
0
898*0
??8*0
M38* 0
T?8*0
618*0
?6?*0
6G8 * 0
608*0
tr?8 * 0
??8*0
998 * 0
A
9 -??
??6*0
8 1:6*0
906*0
268*0
?tr8*0
GG8*0
068*0
608*0
9tr8*0
988*0
?28*0
A
029 * i:
?89*1
?99 *T
9?9 * T
?99 *i:
099 *i:
669 *T
0?9*i:
?99*T
9i?*i:
92? * i:
n
319N*
?()? * T
989 * I'
8 99*1:
6?9*T
069 *i:
90?*T
22?* i:
9V?* i:
L'vL" i:
?6? * i:
608 *T
n
3-IDNV
9'C8*i:
0?8 * i:
208 *i:
6^8* '(?
2 ?8*1:
6?8*T
Ot>-8* T
t/06*T
t/06*T
? i:6*i:
?96*1
n1
002* I
?V'C * T
?60*i:
OVO*T
?86 * 0
??6*0
088*0
928*0
???'* 0
02?*0
999*0
xywA/A
NV3S
tr9T*T
?01* I
290 *'?
000*i:
6t"6*0
868*0
9^8*0
96?*0
W? *0
269*0
Ttr9*0
XWA/A
NWS
TQT.T
VO'i: * i:
9VO * i:
686*0
I ?6*0
V?8'0
9T8*0
69? * 0
1X)?*0
W9*0
98S * 0
XWWA/A
01:
26
SCAN
Y/YMAX
0,590
0,641
0*692
0.744
0.795
0,846
0.898
0.949
1.000
1.052
1 ,103
:l. .154
ANGLE
:l.
.1.
1
.1.
:!.1
1:i
l
1
1:i.
U
.756
.714
.693
. 638
.643
.593
.609
.602
.613
. 606
. 624
* 633
5
V
0.862
0.859
0.858
0.858
0.838
0.839
0.792
0,802
0.832
0.835
0.854
0.922
1
1
1
1:i.
1
1
1
1
1
1
1
W
.433
.445
.484
.485
. 468
.487
.446
.482
.492
. 496
. 475
. 479
0
0
0
0
0
0
0
0
?-0
?0....()
....()
uy
.366
.261
.248
.190
.168
.103
.023
.014
.075
,104
.183
.214
-0 .
-0 >
-0 .
-0 .
-0 .
-0 .
-0.
-0 .
-0 .
-0 .
-0 .
-0.
IJW
42.1.
41.1.
426
440
521
492
546
549
550
596
527
562
-0.
????(),
-?(),
?-0 .
-0.
-0.
?-0.
?-0,
-0.
-0,
-0.
-0.
VW
23.1.
379
323
422
239
373
238
018P'-?3
242
241
345
Q
2.969
2,882
2,906
2.812
2.778
2 . 727
2,653
2 . 703
2.760
2.758
2.772
2.852
SCAN ANGLE
Y/YMAX U
10
UW
0.529
0.586
0.644
0.70.1.
0.759
0.8:1.6
0.874
0,931
0.989
1.046
1.104
1 .16:1.
1.898
1.883
1 .832
1.816
1,809
1.806
1 .778
1.774
1.782
1,806
1.827
1,874
0,918
0.884
0,870
0,899
? 0,895
0 , 885
0,880
0,876
0,891
0,926
0 , 9 1 8
0,890
1
1
1
1
1
.1
1
1
1
1
1
1
.372
.380
.353
, 384
. 369
.356
,39.1.
,392
.403
. 383
,397
. 394
0.475
0.352
0,350
0,308
0.231
0.163
0.139
0.086
0.038
-0*017
-0.096
-0.142
.... A
??0
-0....()
....()
??0
.?. '1
.... '1
.? -I
-.1.~:i.
._. -j
. 709
. 853
. 866
. 946
.954
. 996
< 005
,073
.051
, 085
,053
. 095
?-0,
-0.
-0.
-?0.
-0,
-?().
-0,
?-0,
?? (j +
-0,
"?? 0 ,
-0.
270
266
468
383
420
410
372
473
540
380
544
437
3.
3,
2,
3,
2,
2,
2,
2.
2,
3,
3,
3,
163
115
973
010
973
941
935
926
969
016
065
123
27
4. REYNOLDS NUMBER OF 133 x KT
4.1 Wall Shear Stress Distribution
AIR DENSITY 1*145 KG/M**3
KINEMATIC VISCOSITY 1,644E~05 M#*2/8EC
AVERAGE WALL. SHEAR STRESS 1*8400 PA
ANGLE AND TW(THETA)
?85*
?70*
SO,
?30,
?15,
0,
15.
29.
45,
59.
75,
0
'?
1
0
2
0
1
9
0
9
0
1.
1.
2,
2,
1,
1,
1*
2,
2,
1.
1.
14.1.
677
107
074
769
619
791
063
180
950
550
????80
-?60
-39
-25
????9
4
20
34
50
64
80
.1
,0
,9
,1
*9
,9
.0
,9
,0
,8
.0
1 ,
1.
2,
1,:i. ,
1,:i. ,
2*
2,1 ,
.1,
315
915
175
984
677
648
893
129
147
837
397
?-75
?-55
"X 1"'OvJ
-20
-5
9
25
39
54
70
,1
,0
,0
<- 1
,0
,8
,0
,8
.9
.1
1")
'?>,\H
I
1
1
1?">
2
1
,521
."13
,123
,915
,642
,694
,995
,175
,052
,711
4.2 Mean Velocity Profiles
MEAN VELOCITY AT --15,0 DEGREES,
WALL SHEAR STRESS 1,7651 PA
FRICTION VELOCITY 1,2416 M/SEC
Y (M) V (M/SEC)
0,00199
0,00249
0,00299
0,00349
0,00449
0,00550
0,00749
0,01049
0,01449
0,01849
22,040
22,580
23,100
23,670
24,400
25,020
25,750
26,290
25,660
23,760
150,3
189,1
225,8
263,6
339 , 1
415,4
565,7
792,2
1094,3
1396,4
17,751
1.8,186
18,605
19,064
19,652
20,151
20,739
21,174
20,667
19,136
28
MEAN VELOCITY AT -10*0 DEGREES*
WALL SHEAR STRESS 1*6761 PA
FRICTION VELOCITY 1,2099 M/SEC
Y (il) V (M/SEC)
0.00199
0,00249
0.00299
0*00349
0*00449
0,00550
0*00749
0*01049
0*01449
MEAN
WALL
FR1CT
Y <M>
0*00199
0*00249
0*00299
0<00399
0*00499
0*00599
0*00799
0*00999
0*01299
MEAN
WALL.FRI:CT
Y <;M)
0*00199
0*00249
0*00249
0*00299
0*00349
0*00399
0*00499
0*00599
0*00699
0*00899
0.01199
21*310
21*0.1.0
22*290
22*730
23*510
24*050
24*750
24*650
22*440
VELOCITY AT
SHEA!-: STRESS
ION VELOCITY
V (M/SEC)
20*840
21 ,230
21 * 810
22*640
23*310
23*770
24*120
23*690
21*390
VELOCITY AT
SHEAR STRESS
J.UN VELOCITY
V (M/SEC)
20*660
21,280
21*280
21*810
22*270
22,610
23*250
23,660
23,900
23,610
21.650
146*5
183*2
220*0
256*8
330*4
404*8
551*2
772*0
1066*4
17,613
13,026
13*423
13*737
19.432
19*873
20*456
20*374
13*547
?-5*0 DEGREES*
1*6422
1*1976
Yl
145*0
181*4
217*3
290*7
363*5
436*3
532*0
727*7
946*3
PA
M/SEC
Vi
17*402
17*727
13*211
13*905
19*464
19*348
20*140
19*781
17*861
0*0 DEGREES*
1*6192
1*1892
Y+
1.43*9
1.30*1
1.30*1
2 1 6 * 3
2 5 2 * 4
238*6
360*9
433*3
505,6
650,3
867,3
PA
M/SEC
V-f-
17*373
17*395
17*395
13*340
13*727
19*013
19*551
19*896
20,093
19,354
13*206
29
MEAN VELOCITY AT
WALL SHEAR STRESS
FRICTION VELOCITY
1*6490 PA
1*2001 M/SEC
V (M/SEC) Y-f
0,00:1.99
0,00249
0,00299
0,00349
0,00399
0*00499
0,00599
0,00699
0,00899
0.01100
0,01299
MEAN
WALL
FR.UJ
Y CM)
0,00:1.99
0,00249
0,00299
0,00349
0,00399
0,00499
0,00599
0,00699
0,00799
0,00999
0,01:1.99
0,01399
20,890
21,360
21,920
22,380
22,680
23,370
23 , 830
24,100
24,070
23,250
21,660
VELOCITY AT
SHEAR STRESS
ION VELOCITY
V (M/SEC)
21,230
21,760
22,300
22,730
23,150
23,. 700
24,190
24,610
24,860
24,820
24,330
23,280
145,3
181 ,8
218,3
254,8
291,3
364,3
437,3
510,3
656,2
803 , 0
948,2
10,0 DI;
1*6978
1,2177
Y-f
147,4
184,4
221,5
258,5
295,5
369,6
443,7
517,7
591,8
739,9
880,1
1036,2
1.7,407
1.7,799
1.8,265
1.8,649
1.8,899
1.9,474
1.9,857
20,082
20,057
19,374
18,049
:GREES.PA
M/SEC
V-f
1.7,435
1.7,870
1.8,313
1.8,667
1.9,011
1.9,463
19,866
20,210
20,416
20,383
19,981
19,118
30
MEAN VELOCITY AT 15*0 DEGREES,
WALL SHEAR STRESS 1*7935 PA
F RIC1 J 0 N V EI.. 0 CIT Y 1*2515 M / S E C
Y <M> V CM/SEC) Yl
0,00199
0,00249
0,00299
0,00349
0,00399
0:. 004 99
0,00599
0,00699
0,00799
0,00899
0,01100
0,01299
0,01499
2.1*920
22,430
22,950
23?400
23,820
24,470
25,020
25,360
25,700
25,900
26,090
25,960
25,560
151,5
189*6
227,6
265,7
303,8
379,9
456,0
532 , 1
608,3
684,4
837,4
988,9
1141,2
17,514
17,922
18,337
18,697
19,032
?i Q i::; !::?'?>
.1. / (? \.) \.t A-
19,991
20*263
20,535
20,694
20,846
20,742
20,423
MEAN VELOCITY AT
WALL SHEAR STRESS
FR.reKK.iN VELOCITY
20,0 DECREES.
1-8934 PA
1,2859 H./SEC
(M) V CM/ SEC) Yi Vi
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
<?
{?
<?
{.
t
*<.
<.
*
(?
4
{.
*
*
*
00199
00249
00299
00349
00399
00499
005^9
00699
00799
00899
01100
01299
0:1499
01799
02099
2 2,. ..
x..... ?...'
2 3
24
24
25
25
26
26
26
'? 7.V.. /
27
27
27
26
, 580
,180
,690
,120
,480
,270
,760
,200
,610
,840
,310
,470
,580
,370
, 980
155
194
233
273
312
390
468
546
625
703
860
1016
1172
1407
1641
*?
*.-
*
(f
<,
(?
i-
t
(?
V
<?
<?
^
*
{
7
B
9
0
:l.
3
5
8
0
2
4
1
'"j
2
8
1 7
1 8
1 Q
18
19
1 9
20
2()
20
20
21
2 1
21
21
20
,559
,026
,423
,757
, 037
,651
,032
,375
,693
,872
,238
,362
,448
,284
,981
31
MEAN
WALLFR:ICT
Y <M)
0,00199
0,00249
0,00299
0,00349
0,00399
0,00499
0,00599
0,00699
0,00799
0,00999
0,01 199
0,01399
0,01 599
0,01799
0,01999
0,02399
MEAN
WALL
FR1UI
Y ?: M )
0,00199
0,00249
0,00299
0,00349
0,00399
0,00499
0,00399
0,00699
0,00799
0,00999
0,01199
0,01399
0.01599
0,01799
0,01999
0,02399
0,02799
V EL 13 CITY AT
SHEAR STRESS
ION UELOCITY
V <M/SEC)
23,250
23,720
24,330
24,800
25,230
25,960
26,550
26 , 930
27,370
27,970
28, 4VO
28,710
28,890
29,010
29,070
29,070
VELOCITY AT
SHEAR STRESS
ION VELOCITY
V (H/SEC)
23,760
24,300
24,800
25,310
25,760
26,480
27,050
27,520
27,990
28,640
29,220
29,600
29,920
30,190
30,390
30,700
30,820
25,0 DEGREES,
1 ,9946
1,3198
Y.}.
159,8
199,9
240 ,0
280,2
320 , 3
400,6
480,9
561 ,2
641 ,5
80 2,0
962-6
1.1.23,1
1233./
1444,3
1604 ?8
IV 2 6,0
30,0 DC
2,0640
1,3426
Y.f
162,5
203,4
244,2
285 , 0
325,9
407,5
489,2
570,9
652,5
315,9
979,2
1142,5
1305,9
1469,2
1632,5
1959,2
2285,9
PA
M/SEC
U-i
17,6 1 6
17,972
18,434
18,7901.9,1:16
19,669
20,116::o. 40-1
20 ??? 737
2.1. < 192
? 1 , '"133
2:1 -753
1-1 ,889
21 <980
22,025
22, 025
;:KRF E<;;<
PA
tt/'SEC
v'i
17,697
18^099
1.8,472
18,85:!.
19,187
19,723
20,147
20,497
20,348
21 ,332
21,764
22,047
22,285
22,486
22,635
22,866
22,955
32
riEAN VELOCITY AT 35*0 DEGREE'S*
WALL SHEAR STRESS 2*1298 PA
F RIC TIG N V F I... 0 CIT Y 1 , 3 6 3 9 M / S E C
CM/SEC:
oo
oo
0
0o
C)o
0
0
0
0
0
0o
(lo
o
0
0o
0
0
0
0
0
0
0
0
0O
0
0o
o
0
0
0
,00199
,0024V
,0029^
,003^9
,003V?
,00499
,00599
-00699
,0079 ;??
,00999
,01.1.99
,01399
,01599
> 0.1. 79 9
,0:1999
,02399
,02799<. 03:1.99
, 0339V
MEAN
WALL.
FRIG'
Y < i'i )
,00199
,00249
,00299
,00349
,00399
,00499
,00599
,00699
,00799
,00999
,0.1.199
,01399
,01599
,01799
,01999
,02399
,02799
,03199
,03799
,04400
24
24
25
25
26
26
27
27
2 S
29
"! O?%",. /
30
30
30
31
31
32
32
32
OF, OH
SHEAR) f i IN) U
V
A*,', *"}
25
25
26
2 6
,?/. /
27
28
23
29
30
30
31
31
.3 1
3 2
32
32
3 3
"x '?)O A..
'.?
(.
V
t
V
*
(.
<?
?t
4
,,
(.
*
{?
v
;.
*
^
,
T
C
?:
i-
<?
A
<?
i-
*
A
*
^
*
?>
i-
<?
*
t
<?
<?
<?
*?
210
680
330
700
290
880
4 4 0
980
430
180
/"I O
.1.80
600
950
260
720
040
220
."'60
TY AT
S IRE S3
! Of: ! TV
ri/SEC)
650
090
6/0
090
520
210
840
440
750
500
150
670
C40
460
320
340
720
960
040
720
.1.65,
206 <
248 ,
239 ,
331,
414,
496,
579,
662,
828 ,
994,
. 160,: i26 ,
:.492,
:.658,
.990 ,
2322,
2653,
2819,
40,0
2 , :l 75
1 ,3/8
Y-v
166,
208 ,
250,
292 ,
334 <
418,
502,
536 ,
669,
837 ,
1005,
1172,
1340,
1508,
1675,
2011,
2346,
2681,
3185,
3688,
1 .
6
0
5
0
0
9
9
8
S'/'
6
5
.<?)
4
2
0
9
8
DE
1
3
0
&
7
6
5
3
2
0
9
i:.'
2
9
5'".i
9
A'.,
6
9
0
3
1 7 v
18,
1 3 ,
.1. 8 ,
19,
19,
20,
20,
20,
21,
21,
?"> '*>
A*.'. .V.. <?
22 -.??) ..-i
22,
23,
23,
23,93 ,
GREES,
PA
n/SEC
U
1 7 ,
18,
18,
13,
1 9 ,
19,
20,
20,
20,
21,
21 ,
99 ,
22 ,
?t'.. .%'.. t
23,
2.3 ,
2 3 <
23,
23,
23,
751
096
572
844
276
709
119
515
845
395
784
123
436
693
920
258
492
624
654
?f
885
204
625
929
241
742
199
634
859
404
875
2 5 2
521
826
037
464
740
914
972
740
33
MEAN VELOCITY AT
WALL SHEAR STRESS
FRICTION UELOCITY
45*0 DEGREES*
2*1804 PA
1*3800 M/SEC
V (M/SEC)
0
0
0
0o
0
0
0
0
0
0
0
0
0
0
0
0
0
0o
,00199
,00249
,00299
,00349
,00399
,00499
,00599
,00699
,00799,00999
,01199
,01399
,01599
,01799
,01999
,02399
,02799
,03599
,04400
,05.199
24
25
25
26
26
27
27
28
28
29
? 30
30
31
31
31
32
3.2
32
3 2
31
,580
,080
,660
,010
,470
,220
,840
,270
,710
,480
,100
, 650
,120
, 500
, 820
,370
,670
, 880
,450
,430
167
209
251
292
334
418
502
586
670
838
1006
1.174
1.342
1.510
1.677
2013
"149
3021
3693
4364
,0
, 0
,0o
,9
,9
,8
, 7
* 7
, 5
, 4
, .5
* .-.?..
,1
,9
,7
,4
,0
,3
<? 0
1 7
18
18
18
.1 9
19
2()
20
20
2 1
2 1
22
22?"? '*>
A*- A..
23
23
2 3
23
23..., /.,
,812
, 174
,595
,848
,182
,725
,175
, 486
.805
,363
, 8 1 2
,211
,551
,827
,059
,457
, 675
.827
,5.1.5
,776
MEAN VELOCITY AT 50,0 DEGREES,
WAI...!.. SHEAR STRESS 2,1473 PA
F R I C T I ON V E L 0 C I T Y 1,3694 8 E C
1.00199
:00249
;.00299
>00399
>00499
,. 00699
,.00999
,01399
,01799
,02299
,02799
0.
0,
().
0,
0<
0.
0.()<
0,
0,
0.0,
0,04400
0-05199
0,05999
0,06799
,03599
V (M/SEC
24,290
24,700
25,190
26,090
26.740
27,890
29,080
30,270
31 ,120
31.730
31.980
31.750
31,420
30,980
29,940
28,170
165,8
207,4
249,1
332,4
415 ,7
582,3
832,2
1165,4
1498,5
1915,0
2331,5
2997,9
3665,2
4330,7
4997,1
5663,5
17,737
18,037
18,394
19,052
19,526
20,366
21,235
23,170
23,353
23,185
22,944
22,622
21.863
20,571
988*2
?98*3
998*2
?98*3
098*2
?98*3
830 *?
8?0*?
6?0*???i: "?
?OT*?
9VT*?
0
T00*?
330 *?
i'36 * 3
??6* 3
?38*3
?V6" 3
V?0*?3 1: i: * ?
i: V i: * ?
I93"1 ?
033 *?
90?'?
0
393 *?i:3?>?
?0? * ?
963 *?
99?*?
T!l?*?
V??* ?
6V? * ?I
* "v .1 f * (_"?
? '../ V A..
6 1: v * ?
09V *?.
V39"?
0
90i:*o-
??i:*0-()?i:*o?
6Vi:*o~-?8i:*o?
890*0?
V?2*0??8T*o-
06i:*o~-
991*0?V6i:*o?
390*0--
PI A
060*0i:9i:*o
990*0
8?T*0
V30 *(>????
?00*0?
?|:20*0"
020*0?
390*0
190 *0~-
'??I ? 0 * 0 ????1:90*0--
f)A
OVS'O
9??*0
6t?*0
?9i:*0
SI?*0
033*0
6?2*0
633 '0
9?1' * 0
OI?"06i:r*o
'fOO*0?
MA
909*0
189*0
319*0
?99*0'
989*0
?29*0
8?9*()
899*0
?09*0
i:i:9'0
06V *0
39V *0
IV)R
?90 *i:
903 *T?.01: * i
?80*1
?90*1
I91:*!
8TO*1
9?6*0
VV6*0
91:6*0
i:08*0
?9?*0
fin
90V* i:
9VV* 1
99V *1
99V *1
93V *1
V??'l
02?M
T 1 3 ' 1
3?l' * T
986*0
306*0
318*0
Mfl
80i:*o?
V90*0--
800*0?
9?0*0
V90*0i: 3 1: * 0
99i:*0
TO 3*0
0?3'0
9?? * 0
09?*0
?6?*0
AH
i:?()*o
960*0
960*0
?9i: *0
S9T*0
?33*0
V83*0
?3?*0
V V ? * 0
3?V*0
9?V * 0
8?V*0
AH
01:3*0
?93*0
90?*0
ET?*0
36?*0
I?V*0
?8V*0
V39*0
!.'V9*0
SV9*0
989*0
309*0
API
999*1
8V9'i:
69 9*i:i:?9*i:
1:99*1:81:9*1:
689 *T??9*i:
0?9'i:9?9*'i:
?9 9*i:
V99'i:
."
0?9*i:
9?9*T
??9'T
989 *i:
699 *i:
869 *i:31:9*1:
91:9*1:909 *i:
v i: 9 ' i:
08 9*i:
989*1
p)
99V *T
809 *i:01:9*1:
699 *T
0?9*T
9V9*T
V?9*T939*1:
V99 * T
i:39*i:
0?9*T
T?S*T
n
V68*0
006*0
??8*0
988*0
T?8*0
698*0
036*0
906*0
?68*0
3?6 * 0
OV6*0
TE6*0
A
{"?!::i
0?6'0
V V & * 0
9V8 * 0
998*0i:os*o
T3?*0
VV8*0
698*0
?68*0
VV6*0
836*0
366*0
A
A TU I.
9 TO*!:
920 *I886*0
V36'0
t?-66*0
066*0
986*0
986*0
966*0???0*1:
V20*i:
V60*i:
A
Si:
26V*i:
6?V* I
?6V* T
89V*'?009 *i:
??9*i:
9?9 * T
?99 *'?
6?9 * T
60 9* T
2 i:9*i:
6?9 ' i:
n
"Tinuw
9?9*i:
0?9*i:
929*i:
9T9*i:i:v9* i:
6?9*i:
989 *T
969 *T
90?*i:
V??* '?
09?*i:99?*i:
n
638 *i:
33 8*i:
0?8*T
o !? o I-01:9*1:
938 *T
83 8*i:
?V8*i:
V98*i:
i:98*T
V?8*i:
??8 * T
n
- :ri9Ny
2Vi: * T060 *i:
6?0 * T
886*0
9 ?6*0
988*0
V?8 * 0
28?* 0
'???* 0
089 * 0
829 * 0
??9*0
XWA/A
HH"K'
09i:*i:
360* i:
9?0 * T
??6 * 0
036*0
398*0
908*0
?V?* 0
069*0
3?9*0
9 ?9* 0
?i:9*0
XVWA/A
36i:* i:V2i:*i:
990 *i:
?86*0
8 1:6*0
098*0i:8?*0
?i:?*0
9V9*0
9?9*0
809*0
6?V*0
XVWA/A
NVOS
G0l>*?
<;'?>*?
???*?
80K?.
?8? 4 ?
98?*?
9?t?*?
SEfr'E
C.
r/o'?
OGO*?
8?0* ?
9?04 ':?
K-'O* ?
'!??(>* ?
6H04 ?os: i- * ?
Tf:JT*?
t>- ? I ' ?
<'-??* :.-:
?!?'?
n
../ c f 5 - ?:.?
0 <?;;?} ?? '?':
!.;..?'?
TOc'i '" ?
?9;' * ?
}?'} (.,':, * i..
'> i! 0 ' ?
O?0 * ?
6 F 0 * ?
t>-?l * ?
GtK>* ?
t"/,:.:*?
0
tx??*0- ?t'?*I?- 0?i:*0 0??*i: EST?T
SS9*0- EfrS'T- 6?i:40 8SS*T ?9 T4T
fr?9*0- SSE'I- G??*0 E^S*T ?ST*T
?ii?,94o? i:??*i:- 69?*0 V8G*i: 991* i:
8?9*0- 00?*T-- GO?M) G09*T 9ti:*T
/ ?''?'?; * o- 9t>- T " i: ???? 60? * o t//.G * i: ?8 1: * i:
O^G*0-- ?90' I-- ?6?*0 8??*i: Ot'i:*'i:
OEG *()?- ?t=-0*i:- 68?*0 ?9S*T EST*!'
909-0- ?16>0~- ??t?*0 /.EG*T EG't'T
t^6t>'0-- Ofr840- 68t/*0 ??S*T S2T*T
?8t>'*0- ?9?40- TSG'O 6VG*'i: ??'i:M:
/.,if>40- t'89*0-- 8?G*0 STS*i: ?V'i:*i:
f'lA fill Afl fl A
Oi:
??S *(>?- G??*0-' ??0*0- 6?9*i: i:?0*'i:a ?t" ?()???? ?0?jo-- i:ao4o 099*1: 1:66*0
Ol.f:.,*0- 9^. ?*()???? 880 '0 9t^9*i: TOO*!
6GG*0-~ 9t>-/"0-- ??T*0 '6t'94l' 800 * I??;;;* o-- 9t-/: *o- strro 999*1: 8?6*o
?Q!!j*0- 9?/. *0- 9't?*0 ??9*T 6?6*0
?rQ "()???? ':-;o9: ()???? 9??'0 GV94'i: 186*06?i^o- 1:99*0- G0?*o 9?9*i: ?i:o*i:
999 "0-- ?6G"0- t"??*0 ??9*T ?90 * i:
SGG'O-- !",'!.' G% 0- ?G?*0 1' ?9* '!?' t>-'i:o*'i:
?U-t ' ',:??- b i: 1; ' 0-- 5i: iV * 0 9?9 * i: 9frO * I
loS*0- ?1^*0- G?fc'-0 Oi:9*T ??0*i:
f'lA f'ii"! AH f) A
G
OT? "('?? 001. "0- ?tvi:*0- 099 * I 0?6*0
'/vt- * 0- ?1. 1. *()?? ?60*0? ?>9*i: OV6*0
0 ,:. ? " 0 -? T 0 1 * 0 -? 6 1' ( ? * 0 - G G 9 * i: ? 1' 6 * 0
???"()??? fc-OI'O" StO'O- ?G9*i: ?T6*0
f-;6?*0- ?8i:*0- f/?0*0 8t/9*i: Gi:8*0
?6? '<;???? ?60*0- ?60*0 9T?*i: G?6*0
Ol?"0-- 001. 40- SI 1*0 S??'i: 996*0
&,< ?*()?? i'VO *()?- ?9T*0 689*T ^^6*0
6t>-*.:vO-- ?00*0- 0??*0 ?89 * I ?S6*0
80t~"0-- ??0 'O- ?8?*0 ?i:?!i: T?6*0
???A0-- SHV'O? ???*0 ^994T- Vt6*0? s ;:r * o ?? <s T o * o ???? o i> ' o t? i: ? * i: 68 o * i
MA nn An fi A
0
???*i: OGi:*i:
!.'??. *i: ?60*1
G??*i: G?04i:
9??*T ??640???.M: 0?6*o
6??*i: ?98*0
8S?*i: 508*0
fr'9?*'i: ?t?-?40
?9?*i: 069*0
9??*i: ??9*0
?8?*i: G?G*0
Oi: 8*1: ?i:s*o
n xywA/A
310NV NV38
fc-qq'T rt^T'T
??G*i: 060 *i:
??G*i: 6?0*T
8?G*T 886*0
??G*i: 9?6*0
i:9G*i: 588*0
t>'8G*i' ^f.:8*0
?6G*i: ?8?*0
?1:9*1: i:??*o
i:?9'i: 089*0
0^9*i: 8?9*0
?99 *i: ??G*0
n xywA./A
.lino wy Nyos
TtH>-*T /8T.*T
9?t>'*i: E?T*T
Si>4T 080 *i:
6?t^*l ??0*i:
?9t-*l ??6*0
TSfr'l 0?6*0
8?t-*1 ?98*0
ST?*1 ?T840
8?G*1 09?''0
ov-s*i: 90?*o
8GG * 1 ?G9 * 0
0?? 4 1 009 * 0
n xywA/A
:;i~ioNy N^OS
se
012*
622*
382 *
662*
862*
992*
82T*
691*
i:60*
090*
2i:2*
f.)
?09*
Strfr*
? tv t>' *
??9*
609*
?82*
022*
232*
292*
?22*
2t*0*
??T*
0
9?8*
098*
90?*
t*9?*
?96*
089*
8 ?9*
92?*
92t?*
?92*
St*2*
2 1: ty *
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
i:89
V29
299
VZ\r
1/.Z
98 T
961:
291:
601:
060
tv t* * A
frt A
6?9
M>'9
909
??t>-
929
??9
?6?
9 I ty
291:
8?i:
OO'i:
f'lA
699
c?9
??9
T9S
t-39
0?9
6Ky
SIfr
? i: ?
'[?9
962
6 1: 2
*0- 9 ?6*0-
*0- 90 0*i:-
* 0- 896 * 0-
'(>?- 9^6*0-
*()-. 018*0-
*o- i:o?*o-
*0- ?t'9*0-
*0- 99t'"0--*o- 1:92*0--
*0? 99?*0-~
fin
*0- 9?2<1--
*0-- ?93*1--
* 0- 3t"3 * 1 -
*0- TEE'l-
* 0? ?81' * 1 ?-
*0- 890*1-*o- ?.1:0*1-
*0- t'06*0-
?> Q .... <<-. / / - (<, ....
"0- Oi> ?*0-
*()?- 91:9*0-
?' n .... i"* K- C * f\U .::i X i.. V '
fill
*0- SSt-'I-
*0- 69b*i:--
*0- S2>*i:-
*0- 92{?*i:-
*0- ?99* f-
?>(>.... 962 *i:-
?(>.... ?c;2" c-
*0- ?2i:*T-*o- 1:00*1:-
*0- 298*0-
*()??- 09?*0-
*0- 999'0-
862
6T2
9?>
?09
ty6ty
23 tr
9?9
9T9
All
(<.,;e
?62
0 1!' t-v
69t"
sst-
98tv
96^
??t>-
?S9
2T9
f ? 9
' 62?
All
9t^?
Ot-'t-
???
6?ty
o i: 9
6 1: 9
?t^9
i:?9
{?99
??9
699
819
*0
*0
*0
* 0
*0
*0
*0
*0
.n
'()
* 0
*0
*0
'0
* 0
* 0
*0
1 0
* 0
*0
*0
*0
* 0
* 0
*0
4 0
*0
"0
* 0
*0
*0
*0
98i:*l
962*1
282 * 1
60? * 1
262* 1
222*1
M>2'1
922*1
82t--i:
fl
i:22*i:
Ot/2*l
622 * i:
0??* f
2?2* '[
?t-? * 1
9'i:2*i:
9 12*i:
662* i:
282 * I
i: i: 2 * T
??c*i:
n
029 ' i:
909*1
2?tv* I
SS9* T
St-9* i:
??-t>-" i:
?8t>-* i:
T99* i:
?6?*i:
9^2*1:
i:9?* i:
???* i:
992
6 2 2
6 6 2
202
K)3
02T
891
T60
020
??0
A
?82
613
?61.
093
622
?9i:
?9i:
6 2T
8 iy I
?90
1.'60
? T i:
A
902
022
6tY2
993
,?*"? O V*v
2V2
i:32
9?3
i:?i:
2 T I
??0
t>-oi:
*i:
?T
* i:
*i:
* l
*i:
* I
*i:
*i:
*i:
92
*l
*i
? l
'l
* l
* l
* l
* l
* i:
* l
* l
* l
02
* T
*i:
* i:
*i:
* i:
* i:
* T.
*i:
* i:
*i:
* I
* l
693*
993*
S?8*
i:?8*
?6?*
9 TS*
i: 1 3 "
038*
n
:;no
?06*
1:06*
2T6*
906*
?68*
006*
638*
938*
q / p, *
?H;r1:93*
9V8*
n
?no
3 1: 6 *
916*
6T6*
/ ? O *
ty06*
o i: 6 *
si:6*
9 / 8 *
906*
036*
t"26*
926*
i:
i:
r
i:
T
i:
i:
i:
NV
i:
i:
l.
T
i:
i:
i:
i:
i:
?|;
i:
i:
T
i:
I
i:
i:
i:
T
i:
I
I
I
i:
3i:3*i:
82i:*i:
096 * 0
9?3*0
60? * 0
939*0
i:t'9*0
?9{^* 0
???*0
063*0
xywA/A
Ny;:>3
t-;i:*i:
330 *i:
0 1: 0 * i:
326*0
998*0
?6?*0 ?
i:3?*0
6t?9*0
/' / 9 * 0
909*0
22tv*0
092 * 0
XYNA/A
NVOS
26i:*i:
\?zi * i:
990*1.
?36*0
ST6*0
098*0
I3?*0
?T?*0
9t!"9 * 0
9?9*0
309*0
62fr * 0
fir fin All XYWA/A
si:
37
SCAN ANGLE 30
Y/YMAX
0 , 230
0.318
0.405
0,492
0,579
0,667
0,754
0,84.1.
0 , 928
1,016
1,103
1,190
SCAN
Y/YMAX
0,182
0,272
0,361
0,451
0,540
0,629
0,719
0,808
0.898
0,987
1,076
1,166
1,870
1 ,800
1,751
1,701
1 .704
1,709
1,724
1,728
1,728
1,718
1,714
1,684
ANGLE
U
1,816
1 ,.731
1,667
1,624
1,600
1,556
1,561
1,560
1,542
1.524
1,480
1,441
1. ,034
1. ,264
1. , 034
1. ,037
1. ,097
1. ,113
1. ,088
1. ,104
1. , 1 1 4
1. ,152
1. ,165
1. ,173
35
U
1,130
1,098
1. ,034
1,019
0,955
0,963
0,962
;),924
0,944
0,904
0,928
0,972
1
1
1
.
1
1
1
1
1
1
1
1
0
0
0
0
0
,422
,465
,345
,293
,250
,390
,199
,181
,097
,112
,07:1
,057
Ul
,599
,443
,375
,262
, 1 57
,107
,076
,982
,942
,907
,862
,896
0
0
0
0
0
0
0
0
0
0
0
0
,)
0
0
0
0
0
0
0
0
0
0
0
,622
, 6 1 7
,525
,559
,475
,447
,471
,475
,445
,437
,336
, 323
UV
,729
,626
,588
,530
, 4 5 6
,432
,392
,386
,362
,321
,298
,266
????(),
-?0,
-? 0 ?
?- 0 <
?-(),
????<),
?? 0 ,
-0,
-?().>
????()<.... (i ,
???? 0 ,
????(),
???? 0 ,
"" 0 V
-0 t
-? 0 !
?~0<
?-0.
-0,
?-0,
-?0,
?-0.
?-0.
330
358
291
3 3 7.?i ? > /.
? T .:.. -.. ?
7 ?'}',>
604
653
683
72:1
699
707
UW
:i. we
1.03
.1.30
186
262
286
409
425
449
449
427
41.6
0,541
0,833
0-650
0,027
o ,1.37
0 , .1 00
???? 0 , 1 3 0
-?0< 127
?(',326
- 0 .267
?-0,230
-?0,182
UU
0,049
?- 0 < 1 3 5
?-0,020
-0< 069
0 ? 2 1 3
?-0,122
0,024
???(), 1.55
-?(), 138
?-0,1.26
-?0,1.35
-?0,050
3
3'~>
?? *
'!>
3
2? .'
'!'
?'"?
?"'
?'"'
3
3'".'
??>
??j
'">
'!>
2
2
1.
.1.
1
,;?'.-??}
, 4 9 2
, 973
.819
.835
,04','i
,796
,800
,716
< 758
, 722
,664
0
, 56'"'
,142
,870
, 635
,407
,288
,260
,127
,. 0/'7
,982
,897
-912
38
SCAN ANGLE 40
Y/YMAX W UV uu vw
0*144
0 * 202
0*259
0*317
0*375
0*433
0*490
0*548
0*606
0*664
0*721
0*779
0*837
0*895
0*952
1*010
I.* 068
1 .126
1. .184
1*241
1
.1:l.
ll
1l
l1
l1
l1
l1
ll
l1
l
.906
? 8 1 1
.722
,649
*596
*520
.486
*439
.416
*393
.368
,337
.308
,268
,205
,194
*1S5
.113
,068
,025
1
1
1
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
* 127
* 1.40
* 1. 1 9
*068
*995
.008
.926
.901
.854
*835
*793
* 7 5 3
*779
.730
*814
.790
.718
* 709
.746
.766
L.652
1. *564
1. .513
1. .433
L.341
1*289
1*195
1*148
1*070
1*009
0*943
0*914
0*850
0*82.1.
0.826
0*751
0 * 704
0*662
0*703
0*721
0*
0*
0*
0*
0*
0*
0*
0,
0*
0*
0*
0*
0*
0*
0*
0*
0.
0*
0*
?-0 *
753
745
683
618
570494
450
404
364
323
282
258
222
194
177
133
098
095
056
024
-0*137
**" 0 * 0 o o
-0.054
-0*079
-0*083
-0*106
-0*127
-0 * 136
-0*191
-0*192
-0*220
-0,255
-0,223
-0,193
-0*165
-0,157
?-0*154
-0*140
-0*099
-0*079
....Q
?-0
-0
0
0-0
-0
-0....()
-0
?*" 0
-0
-0
.... A
-0
.... {}
....()
-0
-0....Q
.158
.212
.064
.079
.002
.055
.079
,049
,038
,042
.003*051
.093
.191
.067
.034
.106
.025
* 1 1 2
.183
3*816
3,512
3,253
2*957
2*668
2*495
2*247
2*100
1*939
1*829
1*695:l *595
1*520
1*407
1*398
1 *307
1*173
1 * 090
1 ,095
1,079
SCAN
Y/YMAX
0*113
0*161
0*209
0*257
0*305
0*353
0,401
0*449
0,497
0,545
0,593
0,641
0,689
0,737
0*785
0*833
0,881
0 * 929
0 * 977
1 * 025
1*073
1*121
1*169
1,217
ANGLE
U
1,930
1,848
1*748
1,653
1,558
1*489
1*419
1,340
1,270
1 , 237
1*178
1*141
1*060
1*018
1*001
0*953
0*960
0 * 924
0,917
0,956
0,951
0,999
1,033
1,070
45
V
1. .147
1. ,087
L.096
L.081
L.026
0.962.
0*924
0*906
0.828
0*761
0.702
0*753
0*7J8
0*743
0*677
0.711
0.664
0.748
0.717
0*695
0*737
0.704
0*727
0 ? 730
U
1*585
1*520
1*479
1*388
1*320
1*215
1.151
1.081
1*025
0*949
0 * 869
0.820
0*846
0*796
0 , 765
0.7 4 &
0*692
0*756
0,718
0*692
0.692
0.716
0*674
0.726
UV
0*815
0*750
0.703
0*650
0*567
0*3 19 ?
0,445
0 . 379
0*320
0*273
0*215
0.136
0*139
0,096
0 * 090
0,062
0*034
0 * 000
?-0*025
-?0.070
-?0*097
-0.132
?-0*178
?-0,233
IJW
0,017
0,034
0*042
0.041
0*020
0*031
0*005
-0*007
0*003
-0.002
0*026
0*003
0,023
-0.002
0.035
0*026
0*062
0*058
0 . 082
0*053
0,052
0,056
0*037
0,056
VW
-?0*024
-0,222
-0*144
-0*098
-0*139
-0,1 21
0*002
0*002
-0*096
?-?0*036
??-0*050
-0*003
-0*013
0*000
-0,081
-0*057
-0*107
0*009
-0,111
0*048
-0*009
-0*012
0*038
-0*083
Q
3*775
3*454
3*222
2*914
2*611
2*310
2*097
1*893
1 * 674
1.504
1*318
1*270
1*178
1 * 1 :l. 1
1*023
0,986
0*922
0*993
0 * 935
0*938
0*964
1*004
1 * 025
1*103
8!:?,?*'
? 6 6'
c (/ 0 40"" ?.!'?', l."0 161
t?r040 6E'TV0 98<3
660'0" 8?T*0 ?C?
T90 'O- 9?T*0 8M-
:v, 980* ()???? S?T*0 T-SIS
:' O-iO'O- 6?T*0 ^99
:: ?9i:*0- ?9T40 SO/
e E8L 40- S5ri:*0 88,/
v t'9340-- S<!f.i:40 908
MA fill AH
40 t>88'0
'0 Ot?-6*0
"0 6^0' I
4 0 ? '( 1 4 T
*o C/:T. 4i:
*0 96i:*i:
*? z^\l.
4o 9tit;4i
40 S6y*T
M
St-84C
??8*C
?06 'C
"> O (' * f*%<./ >.. (!) ^
?86 4C
frEO'1
S90*1
TtrT'l
?6I41
A
0?
LLl'l IZL *0
St-!:';* T t"99*0
98eV|: 909*0
?^?'T 8t^G*0
' S^!i: ^!(J
S?9*T S^E40
?Sf!1: ^5!?
?58* I 302*0
??6* I trfrl*0
n xy/iA/
:ri?)Ny My as
40
5. REYNOLDS NUMBER OF 207.6 x
5.1 Wall Shear Stress Distribution
AIR DENSITY 1.095 KG/M**3
KINEMATIC VISCOSITY 1.769E-05 M**2/SEC
AVERAGE WALL SHEAR STRESS 4,4790 PA
ANGLE AND TW(THETA)
-85
-70
-55
-39
-25
....Q
4
20
34
50
64
80
,0
.2
.0
.9.1
.9
,9
.0
.9
,0
,8
.0
3.
4,
5,
b ?
4.
4,
3.
4,
5,
5*
4.
3.
239
282
012
294
846
.1.97
997
564
182
155
452
357
-80*
-64.
-50.-35*
-20.
ur* J *
9.
25.
39.
54.
70.
84.
1
9:i.
0
1
0
8
0
8
9
1
9
3.
4.
5.
5.
4,
3.
4.
4.
5.
5 .
4,
2.
416
510
124
182
622
997
139
846
263
012
168
64.1.
-75
?-60
-?45
-30
-15
0
15
29
45
59
75
. 1
.0
.1
.0
.2
,0
.1
.9
,0
?9
.0
3.
4.
5.
5,
4.
3.
4.
A
5 .
4,
3.
852
793
263
043
339
939
339
958
236
734
765
5.2 Mean Velocity Profiles
MEAN VELOCITY AT -20.0
WALL SHEAR STRESS 4.6165 PA
FRICTION VELOCITY 2.0533 M/SEC
Y (M) V (M/SEC) V-J-
0.00199
0.00249
0.00299
0.00399
0.00499
0.00599
0.00699
0.00799
0.00999
0.01199
0.01399
0.01599
0.02099
38.660
39.660
40.420
41.900
43,120
43.920
44,710
45,290
46.240
46.980
46.980
47.080
46.610
231,0
289.0
347.1
463.1
579,2
695,3
811,3
927,4
1159.5
1391.7
1623.8
1856.0
2436.3
18,828
19,315
19,685
20.406
21.000
21.390
21.775
22.057
22.520
22.880
22.880
22.929
22.700
41
MEAN VELOCITY AT -15.0 DEGREES.
WALL SHEAR STRESS 4.3339 PA
FRICTION VELOCITY 1.9894 M/SEC
Y CM) V (M/SEC) Y+ V-f
0.00199
0.00249
0.00299
0.00399
0.00499
0.00599
0.00699
0.00799
0.00999
0.0.1.199
0.01399
0.01699
37.290
37.980
38 . 890
40.420
41.480
42.310
43.330
43.630
44.320
44.510
44.120
42.920
223.8
280.0
336. 3
448.7
561,2
673.6
786 . 1
898,6
1123,5
1348,4
1573.3
1910.7
18.744
19,091
19,548
20.317
20 . 850
21.267
21.780
21.931
22.278
22.373
22,177
21,574
MEAN VELOCITY AT -10.0 DEGREES,
WALL SHEAR STRESS 4,1927 PA
F RIC T10 N V E L 0 CIT Y 1. 9 5 6 8 M / S E C
Y (M)
0,00199
0,00249
0,00299
0,00399
0.00499
0.00599
0.00699
0,00799
0,00899
0.01100
0.01299
0.01499
V (M/SEC)
36.100
36.580
37,750
39,110
40,200
41,270
41.900
42,310
42.520
42.410
41,480
39,330
Y-f
220,1
275.4
330.7
441.4
552.0
662.6
773.2
883.8
994.4
1216.8
1436.9
1658,1
V+
18,449
18,694
19.292
19,987
20.544
21.091
21,413
21,622
21,730
21,673
21,198
20,099
42
MEAN VELOCITY AT
WALL SHEAR STRESS
FRICTION VELOCITY
-5*0 DEGREES.
3,9966 F:'A
1*9105 M/SEC
Y CM) V (M/SEC) Y-f
0
0
0
0
0
0
0
0
0
0
0
0
,00199
,00249
, 00299
,00399
,00499
,00599
,00699
,00799
,00899
,01100
,01299
,01499
35
35
37
38
39
40
41
41
4 1
40
37
37
,370
,860
,050
,550
,770
,200
,060
,270
,060
,200
,750
,050
214
268
322
430
538
646
754
862
970
1188
1402
1618
.9
,9
.9
,9
,'9
,9
,9
,9
,9
,0
,9
,9
18
1
1
A*..
2
2
2
2
2
*?:.
1
1
8
9
0
0
1
1
1
1
.1.
9
9
.514
.770
.393
, 178
.817
,042
,492
.602
,492
,042
,760
,393
MEAN VELOCITY AT
WALL SHEAR STRESS
FRICTION VELOCITY
0,0 DEGREES.
3.9388 PA
1,8966 M/SEC
Y (M) V (M/SEC) V-f
0,
0,
0,
0.
0,
0,
0.
0,
0,
0,
0,
00.1.99
00249
00299
00399
00499
00599
00699
00799
008990:1.100
01299
35
35
36
37
39
39
40
41
41
39
36
,250
,620
,580
,980
,110
,770
,630
,690
,690
, 1 1 0
,100
213,
267,
320,
427,
535,
642,
749.
856 ,
963,
1179,
1392,
4
0
6
8
0'?)
4
6
8
3
7
18,
1 8 .
19,
20,
20,
20,
21,
21,
21,
20.
1 9 ,
586
781
287
025
621
969
423
981
981
621
034
43
MEAN VELOCITY AT
WALL SHEAR STRESS
FRICTION VELOCITY
5,0 .DEGREES ,
3,9995 PA
1.91.12 M/SEC
Y (M) (M/SEC) Y-f
0,00.1.99
0.00249
0,00299
0,00399
0.00499
0,00699
0,00799
0,00899
0,00999
0.01:1.99
0.0:1.399
0,01599
35,370
35,620
36 , 580
3S.2J.O
39,330
40,200
40,850
4.1. ,060
40,950
39,770
37,520
36.100
215.0
269,0
323 , 0
431,1
539,1
755.2
863,2
971,2
1079,3
.1.295.4
1511,4
1727,5
18,507
18.638
19,140
.1.9.993
20,579
21.034
21.374
21,484
21.427
20.809
19,632
18,889
MEAN VELOCITY AT 10,0 DEGREES,
WALL SHEAF; STRESS 4.1470 PA
FRICTION VELOCITY 1.9461 M/SEC
Y CM) V (M/SEC)
0.00199
0,00249
0,00299
0,00399
0,00499
0,00599
0,00699
0,00899
0.01100
0,01299
0,01499
36.100
36 , 220
36,820
38.550
39,770
40,630
41,480
41,900
41,480
40.200
37,750
218,9
273,9
328.9
430.9
549.0
659,0
769,0
989,0
1210.1
1429,0
1649,1
18,550
18.612
18,920
19,809
20.436
20.878
21,315
21,530
21,315
20,657
19,398
44
MEAN VELOCITY AT
WALL SHEAR STRESS
F RIC T10 N V E L 0 CIT Y
0,00199
0,00249
0,00299
0,00399
0,00499
0,00599
0,00699
0,00899
0,01100
0,01299
0,01699
V (M/SEC)
36,820
37,050
37.980
39,770
40,850
4:1. ,690
42,520
43,330
43,720
43,330
41,060
15,0 DEGREES,
4.3438
1.9917
Y-f
224,1
280,4
336,6
449.2
561.8
674,4
787.0
1.012,2
1238,5
1462.6
19.12,9
PA
M/SEC
V-f
18.486
1.8.602
1.9,069
19.968
20.510
20,932
21.348
21.755
21,951
21,755
20,615
MEAN VELOCITY AT 20,0 DEGREES,
WAML SHEAR STRESS 4.5641 PA
FRICTION VELOCITY 2.041.6 M/SEC
Y (M) V (M/SEC) Yi Vi
0,00199
0,00249
0,00299
0,00399
0,00499
0,00599
0,00699
0,00799
0,00999
0,01.199
0,01399
0,01899
0,02399
38,330
38,550
39,340
40,970
42.230
43.050
43,860
44,450
45,230
45,810
45,81.0
45,040
42.230
22<:',7
287,4
345,1
460.5
575,9
691,3
806.7
922.1
11.52.9
1.383,8
161.4,6
2191,6
2768,7
18.774
1.8,882
1.9,269
20.068
20.685
21.086
21,483
21,772
22.1.54
22.438
22.438
22,061
20.685
45
MEAN VELOCITY AT
WALL SHEAR STRESS
FRICTION VELOCITY
25.0 DEGREES,
4,8463 PA
2.1038 M/SEC
Y (M) V (M/SEC) V-f
0,00:199
0,00299
0,00399
0,00499
0,00599
0,00699
0,00899
0.01100
0,0:1.299
0,01499
0,01699
0,01899
0,02399
0,03399
39,450
40,540
42.230
43,360
44,260
45,230
46,380
47,130
47,860
48,230
48,320
48,410
48,050
44,650
236,7
355,6
474,5
593.4
712,4
83.1. .3
1069,1
1308,2
1544,8
1782,7
2020.5
2258,4
2853,0
4042,2
18.752
19,270
20,074
20,6.1.1
21.038
2.1,500
22.046
22.403
22,750
22.926
22.968
23.011
22,840
21 ,224
MEAN VELOCITY AT
WALL SHEAR STRESS
FRICTION VELOCITY
30,0
4 .9627
DEGREES
PA
M/SEC
Y (M)
0,00199
0,00299
0,00399
0.00499
0,00599
0,00699
0,00899
0,01100
0,01299
0,01499
0.01699
0,01999
0,02299
0,02799
0,03299
0,04799
V (M/SEC)
40,200
41,690
43,120
44,510
45,480
46.420
47,720
48.620
49,500
50,030
50,550
51,060
51,230
51,570
51,480
49,850
Y-f
239,5
359,8
480,2
600,5
720.9
841.2
1081.9
1323,8
1563,3
1804,0
2044,6
2405,7
2766,7
3368.4
3970.2
5775.3
V-f
18.883
19.583
20,255
20,908
21,363
21.805
22,415
22,838
23,252
23,501
23,745
23,984
24,064
24.224
24.182
23.416
46
MEAN VELOCITY AT
WALL SHEAR STRESS
FRICTION VELOCITY
35.0 DEGREES.
5.:1838 PA
2.1758 M/GEC
V (M/SEC) V-f
0.00199
0.00299
0,00399
0.00499
0.00599
0.00699
0,00399
0.01100
0,01299
0,01499
0.01699
0,01999
Ov 02299
0,02599
0 , 02899
0.03399
0,03899
0,04899
MEAN
WALL
FR1UI
Y CM)
0,00199
0,00299
0,00399
0,00499
0 , 00599
0,00699
0,00899
0,0:1.100
0,0.1.299
0,014990.01699
0,01999
0 . 02299
0,02599
0.02899
0,03199
0,03699
0,04199
0,05199
0,06199
41 ,270
42,310
44.120
45,290
46.240
46,800
48,080
49,150
50,030
50,720
51 ,.400
52,070
52,650
52,900
53.060
53,390
53,230
52,400
VELOCITY AT
SHEAR STRESS
J.UN VELOCITY
V (M/SEC)
41,270
42,520
44,320
4 5, 4 SO
46,240
47,350
48,800
49,850
50,720
51,570
52,160
53.060
53,800
54,360
54,840
55,150
55,230
54,990
53,390
50,890
244,8
367,8
490,8
613,8
736,7
859,7
1105.7
1353.0
1597.7
1843.7
2089,7
2458,7
2827,7
3196,7
3565, 7
4.1.80,6
4795,6
6025,6
40,0 DEGRE
5,2618 PA
2,192:1. M/S
Yl
246,6
370,5
494,4
618,3
742.3
866,2
1114.0
1363,1
1609,7
1857.5
2105.4
2477.1
2848,9
3220.6
3592,4
3964.1
4583,7
5203,3
6442,5
7681,6
18,968
19.446
20.278
20,815
21,252
21,509
22.098
22.589
22,994
23,311
23.623
23.931
24,198
24,313
24,386
24,538
24,465
24,083
ES,
EC
V-!-
18,827
19,397
20.218
20,747
21 ,094
21.600
22,262
22,741
23,138
23 .525
23.795
24,205
24,543
24.798
25,017
25,159
25,195
25,086
24,356
23.215
47
MEAN VELOCITY AT 45.0 DEGREES.
WALL SHEAR STRESS 5.2359 PA
FRICTION VELOCITY 2.1867 M/SEC
Y CM) V (M/SEC) Y-f V-f
0.00199
0.00299
0.00399
0.00499
0.00599
0,00699
0,00899
0.01100
0,01299
0,01499
0,01799
0,02099
0,02399
0,02699
0,02999
0,03299
0,03799
0.04299
0,04799
0,05299
0,05799
0,06299
0,06799
0,07299
41,270
42.520
44,320
45,430
46,420
47,350
48,800
49,850
50,890
51,740
32,740
53,720
54,200
54,680
55,070
55,310
55,310
54,680
53,880
52,570
50.890
48.620
46.610
43,330
246.0
369.6
493,2
616.8
740,4
864,1
1 1 1 1 , 3
1359,7
1605,7
1853,0
2223.8
2594,6
2965,5
3336,3
3707.1
4078,0
4696,0
5314,1
5932,2
6550,2
7168,3
7786,4
8404,4
9022,5
18.873
19.445
20.268
20.798
21 .228
21.654
22.317
22.797
23.272
23,661
24.118
24,567
24,786
25.006
25.184
25.294
25.294
25,006
24.640
24,041':>??? . 07*?
A.. \J , Aw / A?
22,234
21,315
19,815
48
MEAN VELOCITY AT
WALL SHEAR STRESS
FRICTION VELOCITY
50,0 DEGREES,
5,1553 PA
2,1698 M/SEC
Y (M) V (M/SEC) V-f
0,00199
0,00299
0,00399
0.00499
0,00599
0,00699
0,00399
0,01100
0,01299
0,01499
0,01699
0,01999
0,02299
0,02599
0,03099
0,03599
0,04099
0,04599
0,05099
0,05599
0,06099
MEAN VEL
40,630
42,100
43,720
45,090
46,050
46,900
48,260
49,500
50,380
51,230
51,900
52,900
53,390
53,880
54,200
54,040
53, 550
53,150
52,490
51,570
50,200
OCITY AT
WALL SHEAR STRESS
FRICTION
Y (M>
0,00199
0,00299
0,00399
0,00499
0,00599
0,00699
0,00899
0,01100
0,01299
0,01499
0,01699
0,01999
0,02299
0,02599
0,03099
0,03599
0,04099
0,04599
VELOCITY
V (M/SEC)
40,850
41,690
43,120
44,320
45,090
46,050
47,440
48,620
49,850
50,550
51,400
52,070
52,570
52,570
52,400
51,570
50,890
50,380
244,1
366.7
489,4
612. 1
734.7
857,4
1102,7
1349,2
1593,3
1838,6
2083,9
245:1 ,9
2819,9
3187,9
3801,1
4414.4
5027,7
5641,0
6254,3
6867,6
7480,9
55,0 DE
5,0064
2,1382
Yi
240,5
361,4
482,3
603,2
724,0
844,9
1086,6
1329,6
1570,1
1811,9
2053,6
2416,3
2778,9
3141,5
3745,9
4350,2
4954,6
5559,0
18,725
19.403
20.149
20,78:1
21 .223
21 ,569
22 ,. 242
22,813
23,219
23,610
23,919
24 ,380
24,606
24.832
24,979
24,905
24,680
24.495
24.191
23,767
23,136
:GREES ,
PA
M/SEC
v+
19. 104
19,497
20,166
20,727
21,087
21,536
22,186
22,738
23,314
23,641
24,038
24,352
24,586
24 . 586
24,506
24.118
23,800
23,561
49
MEAN VELOCITY AT 60.0 DEGREES,
WALL SHEAR STRESS 4,7285 PA
FRICTION VELOCITY 2,0781 M/SEC
Y (M) (M/SEC) Y-f V-l
0,00199
0.00299
0.00399
0.00499
0,00599
0.00699
0,008990,01:1.00
0,01299
0,01499
0.0.1.699
0,01999
0.02299
0,02599
0,03099
0,03599
0.04099
41,060
40,630
42.100
43,330
44,120
44,900
46,610
47,720
43.800
49,680
50.200
50 , 720
50.980
50.890
49,850
48.620
47,170
233 , 8
351,2
468,7
586,2
703.6
821.1
1056,1
1292,2
1525,9
1760,9
1995,8
2348,2
2700,6
3053.1
3640,4
4227,8
48.1.5,1
19.759
19.552
20.259
20,851
21,231
21,607
22.430
22.964
23.484
23,907
24,157
24,407
24,533
24,489
23,989
23,397
22,699
MEAN VELOCITY AT 65,0 DEGREES,
WALL SHEAR STRESS 4,4414 PA
FRIC T10 N V E L 0 CIT Y 2.014 0 M/SEC
Y (M) V (M/SEC) Y-f V-f
0,00199
0,00299
0.00399
0,00499
0,00599
0,00699
0,00899
0,01100
0,01299
0,0.1.499
0.01699
0.01999
0,02499
0,02999
37,520
39.110
40,530
42.100
43,120
43,920
45,480
46,800
47,720
48.440
48,800
49,150
48.440
46.800
226.6
340,4
454,3
568,1
681.9
795,8
1023,S
1252,3
1478,9
1 706 , 6
1934,3
2275,8
2845,1
3414,3
18,630
19.419
20,124
20 . 904
21.410
21,808
22,582
23,238
23,695
24.052
24.231
24 , 405
24,052
23,238
50
MEAN VELOCITY AT 70.0 DEGREES.
WALL SHEAR STRESS 4.1595 PA
FRICTION VELOCITY 1.9490 M/SEC
Y (M) (M/SEC) Yi
0
0
0
0
0
0
0
0
0
0
0
0
,00199
,00299
.00399
,00499
,00599
,00699
,00899
,01100
,01299
,01499
,01699
,02200
36
37
39
40
41
42
44
45
45
45
45
44
,340
,520
.330
.630
,690
,520
,120
, 290
,860
,950
.950
.320
219
329
439
549
660
770
990
1211
1431
1651
1871
2423
,4
,6
,8
.0
* .1.
, 5
,9
* V..
,5
,9
,9
1 8
19
20
20
A-'
A*..
9
2
A'..
2'j
2
1
1
*'..
3
3
3
3
2
,645
.251
,179
,846
,390
,816
.637
,237
.530
.576
,576
.740
MEAN VELOCITY AT
WALL SHEAR STRESS
FRICTION VELOCITY
75.0 DEGREES,
3,7655 PA
1,8544 M/SEC
Y (M) V (M/SEC)
0,00199
0,00299
0,00399
0,00499
0,00599
0.00699
0,00899
0,01100
0,01299
0,01499
0,01699
0,01899
34.000
35,620
37,050
38.440
39,550
40,420
41,270
42,100
42.000
41,060
39,770
37,520
208,6
313,4
418,3
523,1
627,9
732,7
942.4
1153,1
1361,7
1571,4
1781,0
1990.7
18,335
19,208
19.979
20,729
21 ,328
21 .797
22,255
22,703
22.649
22,142
21 .446
20.233
51
5.3 Reynolds Stresses
SCAN ANGLE -
Y/YMAX
0
0
0
0
0
0
0
0
0
1
1
1
,360
,433
,505
, b /' /
,649
,721
, 793
,866
,938
,010
,032
,154
1
1
1
1
1
2
2
2
2
2
2
2
U
,966
. 973
,995
,976
,997
,013
,016
,037
,036
,039
,039
,04.1.
?? 20
V
1,026
1,007
0,994
1.076
1,028
1,034
1,073
1,049
1,066
1 , 1 0 1
1 , 1 1 5
1,100
1
1
1
1
1
1
1
1
1
1
1
1
W
,330
,313
,333
,389
, >:> b 6
,377
, 4 1 1
,372
,417
,337
,393
,334
0
0
0
0
0
0
0
0
0
0
0
0
uv
, 575
,580
,556
,576
,531
,542
,570
,509
.483
,459
,109
,339
-0
....Q
?-0
???? 1
.... 1
- 1
.... 1
-1
.... 'I
? 1
"" .1.
.. '11.
uw
,573
,746
,875
, 0 1 1
,145
, 2 9 ' '
,374
,402
,495
,512
-493
,449
....0
-0
-0
-0....()
....()
-0
-0
-0
-0????()
.... Q
vw
,227
,300
,315
'"> O ""?>'-:? A.. O -..t
<477
,435
,444
,755
,731
< 702
,627
,831
Q
3,342
3,315
3,374
3,496
3 , 443
3,5JO
3,608
3,567
3,6*14
3*648
3,670
3,577
SCAN
Y/YMAX
0,439
0,503
0,576
0,645
0,713
0,781
0,850
0.918
0,987
1,055
1,124
1,192
ANGLE -
1
A"-
1
1
1
1
1
1
1
2
2
2
U
,993
,004
,987
, 996
,984
,980
,977
,992
,994
,014
<029
,050
?? .1.
1
0
0
1
1
1
1
1
1
1
1
1
1"'
v
,012
,992
,991
,024
,049
,041
,062
,039
,037
,058
,074
,090
1
1
1
.1.
1
1
1
1
1
1
1
1
W
,401
,398
,459
,443
,507
,510
,525
,524
,526
,484
,471
,446
0
0
0
0
0
0
0
0
0
0
0
0
UU
,607
, 5 '.'..i /'
,518
,553
,511
,483
,423
,416
, 3 5 6
,327
,283
,218
-0
?-0
???? 1.... -i
- 1
?- 1.... I
.... -i
?~ 1
-1
- 1.... ?)
UU
,819
,965
,090
,200
, 3 3 6A ' i ".r
, "Y A. '~1
,549
> b66
,615
,651
,604
v 547
-0
?-0
??-0
-0
.... Q
-0....()
????()
-0
...Q
.... Q
....()
MW
<383
,349
v500
* 'V/'l
,582
,540
,515
,622
,675
,683
,843
,834
3
3
\?>
3
3
3
3
3
3
3
3
3
a
,480
,478
,529
,558
,654
,642
, 680
,684
,690
,690
,718
,741
SCAN ANGLE .1.0
Y/YMAX U W UU
0,517
0,575
0,632
0,690
0,747
0,805
0,862
0 , 920
0,977
1,035
1 , 092
1,150
1,861
1 , 863
1,844
1,842
1.831
1,827
1,807
1,812
1,808
1.827
1.846
1 . 870
0,997
0,967
1,000
0,986
0,966
0 , 967
1,016
1 , 032
1,069
1,021
1,002
1 , 027
1,551
1,565
1,623
1.617
1,620
1 , 627
1 . 645
1,646
1 , 670
1 . 655
1 . 635
1 . 632
0,507
0,491
0,444
0,396
0,356
0,329
0,2.97
0.219
0,145
0,150
0,097
0 , 034
-0,801
??-0,894
-1,041
-1,096
-1,176
-1.243
?-1,271
-1,309
-1*396
?-1,408
-- 1.352
?-1,400
????0,474
?-0 , 556
??-0,476
-0,621
????0,639
???0,661
?-0,707
-0,678
-0,701
-0 ,587
-0,817
-0 , 638
3,431
3,427
3,517
3,490
3,455
3,460
3,502
3,531
3,602
3,561
3,542
3,608
TTE'E
G8?*?
9T?*?
30?*?
993*?t?-?i: *?
8ST*E
G03'?
323 * ?
??3*?
6G2*?
6?3*?
0
frOq*r
66?*?
?OV *?
6 ??*$']
'tG3*?
?8 [ ??
?t>I *?
T22*E
T22*E
09T*E
?02 *?
?6i:*?
0
96?*?
9 1: i" ' ?
,";;?>?
();->? ? ?
0??*?
?9?'?
rG?* ?
T??*?
T T ? * ?
8??'?
I9?*?
8i:?*?
0
t>33*0
TS2*0
96TO
86i:*0
330*0
i:?i'*0
01X>*0
3?T*0
V't'O* 0-
9tcO*0
6?0*0-
3M>*0-
PI A
9tc2*0-
282*0-
8 8 1: *()?-'
??3 *0-
tv??* ()?-
8tr? *0-
8?3*0-
9??*0-
09?*0-
<7 ?3* 0?
9t>?*0-
6'i?:*o?
P1A
1Tt,>rv...
/ -|; r > r, . ..
?fc'!li ' '>??
GGG * 0 ??
8Gtv" ()-?
68G *0--
OGt *(>????
0?G'0~
G29'0-i:?9*o-
G9tv* 0-
68G*0-
PI A
9 '[ ? * 0
t?^?* 0
8 1 L * 0
8??* 0
t?'69* 0
?89*0
8?9'0
G?9*0
?ty9 * 0
88S < 0
SSS*0
frTS'O
pin
?f?0*0-
6?0*0--
100*0
2Tb'0-
(.-?? 1:0 * 0?
1' 30 * 0-
tvi:o * o-
6 CO * 0-
G T 0 * 0
?00*0-
? T 0 " 0
100*0
pin
?18*0-
??8 * 0-
'vs ^-v .' '^ ( N ?'??
lv ("~\ J'^ '" r'si ??
G18 ' ()-?
89,:' *<)-?
f/?? '()?-
?'C?* 0-
399 * 0-
909*0-
3?S * 0-
20E*0-
P1C1
090*0- ?>?.*!
?00*0 28 ?'1
t/00'0- 3??*1
?80*0 28?*1
660*0 G8?*1
39i:*0 ?3?*1
S9T'0 ?t^?*i:
Gt"2*0 G??*'C
St^3'0 GG?*T
Ot-?*() ?3?*'C
03?*0 V3?*T
t*8?*o i:i:?*i:
An PI
603*0- ?28 *T
99i:*0? t^08*i:
380*0-- OT 8*1
1:90*0- 938 *i:
?|:00*0 S6?*'C ,
9SO*0 89?*'i:
?01*0 OG?*I
9TC*0 OG?*'C
?03 "0 6S?* C
1:93*0 3i:??i:
20E*0 03?*I
6t??*0 T69*i:
An n
8 01 >(>???? 0??*'C
OGO*0- !,-??* 'C
GTO'O- ?V?* C
EcO'1'.' 39,:.: ' T
^?0*0 8G?*T
,::3i:'0 9S?*i:
??TM) EV^.*T
9T3'0 0??*'C
G93*0 63?'i:
8tc?*0 SO/.*T.
00ty* 0 60 ?* 1'
62t-*0 S99*i:
All f'l
Ot^O* T
060* T
G90 ' T
69 0*'C
990 *'C
i'30* '!?'
SOO*T
?90* T
8?0*Ti:t"0* 1
9?0* 'C390 *i:
A
G
t-,.,6*^
t'06" 0
??6*0
G?6' 0
i:06*0
668 * 0
t?98* 0
OG6 * 0
??6*0
9?8 * 0
006*0
?83*0
A
0
9G6*"
636*0
Gi-6 * 0
?G6* 0
U>-6*0
OG6 * 0
996*0
0?6*()
8 [6*0
1.96*0
OT6"0
916*0
rt
38 G* '[
'CGG'i:G?G*i:
2TS*T
98tc* '[
?OG ' T
TOS*T
t?OG* I3lG*i:
9GG* '!?
S?G* 1-
38G*T
n
3"mW
999*T
'CG9* T
i:?9*T
96G*I
G?S' I
T9S*T
9?G* I
??G* I
ty?G* I
6I9*i:
939* C
SS9*T
n
.1.119NW
669* I
OS9* 1
89?'; 1
9S9*'I -
299' 1
t^G9* '!
CG9* 1
3G9* 1
i:?9*1
?89* i:
t'2?* '[
3t>/*i:
fl
2V : ' T
060 * T
6?0 * T
886*0
9 ?6*0
S88*0
t-?8 * 0
38 ? *0
?[?,;.. *0
089*0
839 * 0
??G*0
XYWAA
Nt'DS
/8T*T
??i:*'[080 *i:
?30 *i:
??6*0
036*0
?.98*0
?T8'0
09 ? ' 0
90,-i *0
?G9*0
009*0
xywA/
NV3S
;n-T-i
060 ' '[
6?0 * Y
886 '0
9? 6 *0
G8S*0
t??S*0
38 ? '0
?[??'0
089*0
839*0
??2*0
Xt'WA/
313NV
/ '(: '?'?! * ?
t'8S*?
8?9'?
trT9*?
G?9'?
/95*?
G09*?
?8V*?
815 *?
G??f ?
88?*?
???*?
0
?65* ?
t>?9* Z
V ,-: 9 ' ?
8 1 9 " ?
38!l >?
?85 >?
??(.;*?
90V*?
?3 I:.!'' ?
T !:V,G * ?
0?S*?
|.95*?
0
< "? 8 {v ' ?
S0fc"?
'!:?> " ?
9S?*?
?H?*?
l-i'ttf* >".
03???
9S?'?
3SV* ?
<t>Et' v ?
9?t?' ' ?
1/6t-*?
0
68?*0
t>S^*0
?6?*0
?8?*0
Hy? * 0
60?*0
L i:3*0
??3*0
6?'i: *o
960*0
9 T T * 0
T90'0
flA
9 1 t>- * 0
.<>i:;?'0i:?sro
5/..t"*0
?T?"*0
mx-0
88iVOor.?*o
60?" 0
091 *0
?.1:3*0
?trT*0
nn
v'8?" 0
6??"0
? T t- * 0
9c?*0
Ot'?" 0
99;.-' * o
'I 6 1 * 0
G9T*0
?03* 0
980*0
680*0
800*0
MA
???* i:
83^* ]'?
St^t'* i:
Bb-fr' l
OTfr*l
S9?*l
963 * 1
08T*1
9^0* 'i
3?6"0
t>9^:. '0
T39'0
nn
6Vt'*i:i: i u * i.
6V!V. ' 1
??1:9*1:
3?t * 1.
8 t,v J.J. t '}''. \? 1
6??'' T.
??3* i:
6?T i:
080* i:
9G6*0
6 ?8*0
fill
RC,,' - ]
093 * I
993 " 1.
?33* i:
36T*i:
??1. *i:
t?9'i:*i:
980*1
V?0* i:
3 ? 6 * 0
i:06*0
Ot'B'O
fin
99fc-*0 ?6?*T
VSS*0 t^Etf*!:
Ot>'9*0 G3t**'i:
c^/ci * (~> T9V1 * i:
/ / 9 * 0 ? 6 iv * T
?89*0 OSV'i:
339*0 09KI
869*0 2?V*T.
K)9*0 3?V*T
369*0 82tr*T
3?9*0 ()?t^*T
089*0 63t-*i:
Af) M
00?*0 ?6ir*i:
93? '' 0 66i" * 1-
3 9 ? * 0 9 9 9 * '{'.
8?>*o ??9*1
89^*0 839" C
?8i?-0 91^9 * 1.'
?T9*0 St^9*i:
V39*0 ?99*1.
999* 0 ?t>'9* i:
399*0 0?9*T
?09*0 STS'T
099*0 6?9*i:
Afl M
0?T*0 t'99*T
2?T*0 Str9*T
?03*0 ?99* i:
9i:3*0 9?9*T
993 '0 Ot<9*T
9?3M) 899*1
9T?*0 959*1:
S9?* 0 9?9 * I
33t>-*0 i:89*i:
60tc*0 ?99*i:
0?*/*0 9t'9*'i:
?9</*0 ?^9*i:
AC1 fl
??3*i: i:98*i:
6?3*T t?'98'i:
V93*i: 6 ?8*'C
Sfr2*T 388 *i:
?*/S*T 698 *T
902*1 988 *i:
88i:*i: 0?8*i:
i:6i: * i: 0?8*T
903 *T 6i-8*T
ovi:*i: ?t'8'i:
tr9T*T ??8*i:
i:?i:*i: 938 *i:
A n
03 :;ri9Ny
T?2*T 998 *T
993*i: ?98 *i:
?93 *i: 9?8*i:
i:t>-3*i: 0?8*I
?6 1*! ?t-8*i:
?6i:*i: 638*'i:
T?'C*'i: ot^8*i:
561.' i: 838 * i:
?8i:*i: 6 ?8*1.'
56i:*i: 938 *T
ty9'i:*i: 9^8*1
?6T*i: 338 *T
A ft
91: TiDNy
9?i:*i: 889 *i:
93T*i: 989 *i:
9i>-'i:*i: 6?9*l
ooi:*i: i:89*i:
?3i:*'i: 8?9*T
83i:*i: 9?9*i:
i:?0*i: 969 *T
060*1: 889 *i:
9i:i:*i: ?89 * i:
?OT*T 30?*T
?60 *i: 03?*i:
?9T-i: tp-T^'T
A n
V9Ti:
280 *T
OTO*T
8?6 4 0
998*0
?6?*0
i:3?*0
6V9*0
??9 * 0
909*0
??t"40
09?*0
xywA/A
NWS
?V,T*T
Kl * '[
5GO * 1
?86 * 0
8 1:6*0
098 * 0
i:8?*0
?U*0
9^9*0
9?9*0
809 * 0
6 ?4^*0
XVWA/A
My a 8
09 1: * T
36 0*i:
G?0* 1'
??6*0
026*0
398*0
G08*0
?t>-?*0
069*0
S?9 * 0
G?5*0
?i:9'0
xywA/A
OT .-now NVOS
SCAN ANGLE
54
Y/YMAX UUI Q
0,290
0,373
0,457
0,541
0,625
0,709
0,793
0,876
'"> ,960
1,044
1,128
1,212
SCAN
Y/YMAX
0,230
0,318
0,405
0,492
0,579
0,667
0,754
0,841
0,928
1,016
:l , .1.03
1,190
SCAN
Y/YMAX
0,182
0,272
0,361
0,451
0,540
0,629
0,719
0,808
0,898
0,987
1,076
1,166
1 ,765
1 , 754
1 , 760
1,757
1,784
1,791
1 , 804
1,813
1,813
1,813
1 ,790
1,771
ANGLE
U
1 ,786
1,744
1 ,696
1 , 627: ,619
: ,629
: ,6.1.2
: ,608
: ,598
: ,608: ,622
: ,567
ANGLE
U
1,836
1 , 734
1,627
1 , 564
1,511
1,486
1,458
1,438
1,326
1,293
1,221
1,257
1,072
1,088
1,150
1,189
1,173
1,200
:l ,217
1,237
1,249
1,254
1,225
1,262
30
V
1,152
1,080
0,989
1,075
1,074
1,046
1,072
1 ,129
1,127
1 , 1 1 8
1,101
1,125
35
V
1 ,099
1. ,000
1. ,050
1. ,000
0,998
0,998
1,004
0,760
0,903
0,895
1,081
0,964
1,368
1,361
1 ,379
1 ,391
1,406
1,399
1 ,412
1,384
1 ,392
1 ,350
1 ,293
1 ,281.
W
1 ,483
1. ,433
1. ,306
I. ,335
1. ,320
1. ,291
1. ,270
I. ,270
1. ,205
1. ,210
1. ,136
1. ,124
U
1 ,531
1. ,370
1. ,355
1. ,267
1,241
1,198
1.1-78
0.883
0,991
0,937
1,106
0,959
0,570
0,592
0,604
0,625
0 , 6 1 4
0,622
0,643
0,639
0,621
0,568
0 , 456
0,397
UU
0,677
0,681
0,604
0,619
0,604
0,616
0,591
0,607
0,535
0,552
0,458
0,424
UV
0,720
0,649
0,624
0,544
0 , 508
0,500
0,490
0,364
0,351
0,313
0,296
0,249
0,355
0 ,513
0,661
0,800
0,953
1,047
1 ,121
1,189
1,246
1 , :l 90
1,086
1,041
UW
0,205
0,243
0,309
0,378
0,462
0,567
0,612
0,718
0,695
0,743
0 , 7 1 0
0,682
UW
0,1.42
0.148
0,153
0,203
0,272
0,327
0,379
0,346
0,369
0,349
0,372
0,345
-?0,034
????0,039
0,050
0,092
0,070
0,212
0,372
0,317
0,325
0,388
0,290
0,332
UW
????0,084
????0,108
????0,100
0,039
-0,002
-?0,014
0,009
0,164
0,084
0,213
0,333
0,148
UUI
????0,189
-?0.092
0,056
?? 0,104
?-0,106
0,043
0,117
0,076
0,063
0,091
0,079
0,070
3.067
3,056
3,160
3,218
3,268
3,303
3,366
3 , 366
3,392
3,342
3,1.87
3,1.87
?
3,358
3,130
2,781
2,794
2,759
2,707
2,681
/ 2,737
1 2,638
2,650
2,567
2,493
Q
3,462
2*943
2,793
2,525
2 , 4 1 0
'?) "X '?) -I
A., * O A*.. J-
2,260
1,712
1,778
1. , 675
1,942
1,71.4
3^3 *i:
69i:4i:
GT.i:*T.
3*/o*T
3?0*T
800*i:
6?04T
6904i:
I:GT. *l
833 *T
?9?*T
??G4T
9G9* 1:
,:'(." 8* i:
?60*3
,:'t??*3
69G'3
(*) t/' Q (|,
6^3 4?
t*8?*?
0
?IT. *T.
/ O T + T.^.. / 1- 1-
8S3*T
6<??* T.
iiSG* T
/ fr 9 ? -j:
??8"T
/TO4 3
-v ?\ -v 4 "V6 C.< O 6
3t"G*3
G9843
S8f*?
0
?1:0*0
Oi:0*0?
S?0*0
9T.O*0?
t"30*0?
3?0*01:1: 0*0
fro *o--
930*0
V30*0
3SO*0
t>-oo*o--
0?0*0
tvtyO * 0
03i:*o
9 ?0*0
G00*0
G30*0
630*0-
?30*0
MA
T80*0
080*0
890*0
090*0
800*0
160*0
9 TO'O
960*0
0?0*0-
?90*0?
T80*0-
060*0-
flA
t"^.0* 0-
?90*0-
t>-90*0~
6SO*0-
090*0?
090*0-
St/0*0-
9?0*0-
930*0-
9 T0*0?
300*0
1 00 * 0
31:0*0
?00*0
6 T- 0 * 0
G T0*0
330*0
G?0*0
?90*0
890*0
nn
f90*0
?60*0
?3'i:*0
G t" i: * 0
991'*0
?t'T * 0
?ST*0
9t/T*01:31: *o
t//.0* 0
180*033i:*o
f'lfl
6G3 * ()????
b-03*0-o/.i:*o--
93i:*o--
-i/.0*0-
/.?0'0--
300*0-
9^0*0
T60406?i:*o
6L I ' 0
68T*0
fr 6 <:* 4 0
6f::i? * 0
ii?f*0
3?G*0
1:09*0
689*0
9 ): / * o
SS^'O
AH
900 '0
890*0
/>i:*0
28T*0
/.c3'0
i:0?*0
i:t-?*o
t^Of'O
/.St-'O
q >P q * Q
tfS9*0
9t'/.40
Afl
8?8*0
ST8*0
308*0
99 / " ()
T //.*()
69/:*0
68<i*0
?08*0
t-'t^S 4 0
f?8'0
036*0
i:96*0
i:30*i:
/90*i:
99T. *T.
8 33*1
T83*i:
i:8?*i:
?tyt?-* T.
6/G'i:
M
808*0
338*0
9G8*0
GO 6*0
t>-?6'0
T66*0
8/.0* T
iifi: * I
66i:*i:
683 *i:
Sbf?* T
96t'*T
M
038 * 0
L&L* 0
?08*0
38<?*0
008*0
'ILL" 0
I6/. *0
G8/. * 0
S08*0
908*0
T.M:> *0
1:68*0
/.98*0
,?68*0
??6 * 0
9V'6*0
SS6*0
fi:o*i:
3?0*i:
?Gi:*T
A
9?8*0
3t>8*0
?t?8*0
3S8 * 0
?/.8 * 0
?/.8*0
1:36*0
316*0
036 * 0
6G6*0
836*0
Ot>-0 * i:
A
380*1
6i:o*T
i:/6 *0
Tf/6*0
i: i: 6 * o
i:T6*()
TT6*0
9?6*0
0/.6 * 0
63 0*T
?80 * T.
T9T*T
??34T
?3? * i:
OOfr*T
?TG*i:
809 *i:
33/.*i:
9?8*i:
G?6*T.
n
G?6 ' 0
?^6 * 0
9?0*i:
i: o T. * T
6 Si: * T.
Gtv3* i:
?83 *T
tr??* i:
()/>* i:
38G*T
3S?* i:
Oi:6*i:
n
L \ 3 * i:
6ST*T
TOT " i:
St^o* i:
t>-86* 0
936*0
898 * 0
0 f 8 * 0
3S/* 0
V69* 0
9?9 * 0
8/.G* 0
03S*0
S9fr*0
tyOt-v * 0
St/?*0
^83*0
633*0
T L i: * 0
?TT*0
XVWA/A
?03 *T
,'f..0l * I
01:0* i:
fi:6*0
8T8*0
T3/. * 0
G39*0
639*0
??fr* 0
9?? * 0
Ot"3*0
frt/T*0
xywA/A
Otr
S9
56
SCAN ANGLE 50
Y/YMAX UV
0,144
0,240
0, 336
0 ?, 433
0,529
0,625
0,721
0,818
0,914
1,010
1,107
U203
SCAN
Y/YMAX
0,182
0,272
0< 361
0,451
0,540
0,629
0,719
0,808
0,898
0 , 987
1,076
1,166
SCAN
Y/YMAX
0<230
0,318
0,405
0,492
0,579
0 , 667
0,754
0,841
0 , 928
1 ,.016
1,103
1,190
1 , 929
1,816
J ,670
1,525
1,387
1,261
1 ,165
1 ,106
.1. ,082
1 >080
1,094
1 , 098
ANGLE
I.:
.,982
.,882
. , 804
. ,706
.,604
1. ,481
.,384
.,290
1. ,239
1-224
i. ,252
1 ,299
ANGLE
L!
2,006
1 , 935
1,845
1,755
1,667
1.563
1,471
1,391
1 , 334
1,202
1,191
1,327
1,179
1,033
1,048
1,019
0,985
1 ,003
0,917
0,869
0,839
0,857
0 , 837
.0,868
55
V
1,161
1 ,199
1 ,147
1 ,107
1,106
1,077
1 ,060
:l ,032
1,030
1,039
1 ,0.16
1,048
60
U
1 .137
1, 1.76
1 ,1.20
1 , 1.45
1,035
1, 1.06
1,093
1.085
0 , 833
0,989
1,205
1,068
1 ,525
1.440
1 ,329
1 ,258
1 ,136
1,050
0,975
0,915
0,840
0,312
0,764
0,799
W
1,562
1 ,526
1 -.453
1 ,367
1,289
1,214
1 ,129
1,066
1,020
0,985
0,932
0,935
U
1,524
1 ,479
1,369
1,339
1,300
1 < 277
1,199
1,125
0,360
0,972
1,177
1,003
0,815
0,731
0.673
0,564
0,440
0 , 257
0,201
0,105
0,030
-?0,027
?-0,035
-?0,114
UV
0 . 392
0 , 366
0,300
0 , 740
0,653
0,537
0,412
0,272
0, 142
0,032
????0,061
???(), 155
uv
0,928
0,377
0,820
0,773
0,654
0,595
0,481
0,377
0,224
0,122
0,032
-0,070
-0,057
??-0,064
-?0,104
--0*108
?-0 ,092
?-0,114
-?0,125
?-0,156
????0,194
-0,2:1.9
?-0*234
?-0,250
U Ul
-0,139
-0,132
-0,113
-0,113
- 0 , 1 3 1
-0,162
???0, 136
-0 ,.222
-0 ,259
-0,310
-0,332
-0,391
LIU)
-0,143
?-0,141
-0,145
-0,134
-0,167
-0,193
-0,139
-0,208
-0,196
-0,226
-0,290
????0,312
0,044
-0,001
0,107
0,074
-0,006
0,043
0, 007
0,023
-0,021
0 . 004
0,020
-0,029
W
0,054
-0,053
-0,061
0, 1.93
0,086
0 , 1 1 1
-0,002
0,030
-0,006
0,053
-0.074
-0,029
UW
-0,049
-0,066
-0,003
-0,061
0,010
-0,015
-0,002
-0,079
-0,034
-0,011
-0,052
-0,093
3,719
3,220
2,827
2,473
2,093
1,848
1,574
1 ,408
1 , 290
1,280
1,241
1,299
Q
3,359
3 , 653
3,340
3,003
2,729
2,415
2,156
1,932
1,818
1 ,774
1,734
1,829
G
3,379
3,657
3,267
3,161
2,323
2,650
2,398
2,188
1,606
1,684
2,127
1,953
57
SCAN
Y/YMAX
0,290
0 , 373
0,457
0.54:1.
0,625
0,709
0,793
0,876
0,960
.1. ,044
1*128
1.212
SCAN
Y/YMAX
0,360
0,433
0,505
0,577
0,649
0*721
0,793
0,866
0,938
1*010
1,082
1 .154
ANGLE
1
1
1:l.
1.1.
1:!.
:l.1
11
u
,963,9:1.5
,829
, 732
,675
,585
,514
,470
,428
,395
,387
,404
ANGLE
:l.:i.
1:!.
:l.1
11
:l.:l.
1:l.
U
,8:1.9
,770
,7.1.0
*629
,563
,508
, 466
, 434
, 438
, 454
,464,5:1.2
65
1 ,:l. ,
1.:L,
1.:l. ,
1.:l. ,
1 ,:i ,
:l. ,1,
70
1.
1.:l. ,
l*1*
:l. ,1.
:l. ,1 ,
1.l -.
l ,
V
155
.1.82
131
165
098
114
128
138
091
085
082
099
'v'
132
130
059
106
088
081
066
085
067
040
085
074
.1.
1:l.
1
:l.
.1.:l.
11
:l1
l
ll
:i..1.
l:i.
:i.1
l1
ll
U)
,452
.426
,369
,396
,290
,298
,247
,199
,136. :l. 06
,062
.040
W
,306
.370
,235
< 285
.252
, 1.76
, 1.46
, 1. 30
.081
,065
,054
,022
UV
0,902
0,896
0.793
0,758
0,666
0,570
0,476
0,358
0,302
0,197
0,102
0,030
UV
0,768
0,752
0,682
0,623
0,541
0,464
0.390
0,297
0,232
0,144
0,070
0,008
UU)
?-0,133
-0.131
??-0,149
-0.191
??-0,190
-0,230
????0,275
-0,284
????0,296
-0,350
-0,353
?-0,385
UW
-0,204
????0,253
-0,251
-0,297
-0,304
-0,314
-0,351
-0,388
-0,401
-0,451
-0,477
-0,512
?0
.... A
-0
0
.... f )
0
0?- 0
.... l')
0
.... A....()
-0....()
....()
0....()
??-<)
0
-0....()
...()
-0
-0
UW
, 1 1 5
,081
<075
,040
,003
, 027
,025
, 063
.081
, 007
,058
,075
VUI
,106
,152
,029
,087
,058
,013
.011
,060
,089
,090
,149
,155
Q
3,649
3,549
3,250
3,154
2,838
2,719
2,560
2,447
2,260
2,174
2 , 1 1 1
2,130
Q
3,254
3,143
2,785
2,764
2,597
2,413
2,298
2 , 2 b 6
2,187
2,165
2,216
2,242
SCAN ANGLE
Y/YMAX W IIW
0,439
0,508
0,576
0,645
0.713
0,781
0,850
0,918
0 , 987
1,055
1,124
1,192
1
1
1
1
1
1
1
1
1
1.
1.
1.
,759
,700
, 654
,577
,529
,480
,468
.470
, 507
,574
,630
,691
1
1
1
1
1
1
1
1
1
1
1
1
,198
,201
,126
,154
.147
,130
,120
,131
,128
,146,139
,178
1,427
1.388
1,287
1,279
1.240
1.190
1,162
1,146
1,132
1,098
1,112
1,131
0
0
0
0
0
0
0
0
0....()
-0
...A
,775
,698
,603
,512
,427
,346
,237
,164
,064
,017
,114
,180
-0,397
-0,390
-0,432
-0,466
-0,450
-0,470
-?0,480
-0,494
-0,546
-0,577
-0,615
-0,667
-0,054
?-0,141
-0,013
-0,051
-0,085
-0,033
??-0,140
?-0,118
-0,204
?-0,253
-0,255
-0,292
3
3'?>
2
2
2':>
2
';>
2':>
.??)
,282
,129
,831
,726
,595
,442
,380
,375
,411
,498
,595
,763