Some geometrical properties of packing of equal spheres in cylindrical vessels, Part V - adaption of model to packings in cylindrical vessels

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Date
1973-05
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Publisher
Australian Atomic Energy Commission
Abstract
Following the exploratory study reported in Part I, detailed experimental determinations have been made of the properties of a range of unbiased random packings with cylinder-to-sphere diameter ratios of 11.4 and 8.71. Properties at the dense end of the range depend on the diameter ratio. Properties at the loose end of the range are independent of the diameter ratio, and agree closely with those computed from the model developed in Part IV for the semi-infinite case. The model is adapted to the cylindrical case by means of quadratic equations whose coefficients depend on the cylinder-to-sphere diameter ratio. Although the adapted model is based on experiments with comparatively small diameter ratios, it is shown to hold for larger ratios, without the need to call further on experimentally determined properties. It is shown that commonly used preparation methods, such as placing or pouring spheres on the top surface, can result in packings with radial bias. Two methods of preparing unbiased random packings are described.
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Keywords
Cylindrical configuration, Pebble bed reactors, Reactor cores, Spheres, Reactor fueling, Cylinders
Citation
Tingate, G. A. (1973). Some geometrical properties of packing of equal spheres in cylindrical vessels, Part V - adaption of model to packings in cylindrical vessels. (AAEC/E234). Lucas Heights, NSW: Australian Atomic Energy Commission.