Some geometrical properties of packings of equal spheres in cylindrical vessels, Part IV - extension of model to outer region of semi-infinite vessel with plane wall.
Australian Atomic Energy Commission
A range of random packings has been prepared in a prismatic vessel with a plane vertical transparent wall, simulating a semi-infinite vessel. Observations have been made in the outer region of the packings, using and extending the experimental method described in Part 1 of the series. The three-dimensional model presented in Part III has been extended to the outer region of unbiased packings in such a vessel. Equations from Part III are used, together with some of the properties of the regular arrays not previously considered. The rhombohedral and cubic arrays are shown to be members of a family of regular arrays, some of whose properties agree closely with experimentally determined properties of unbiased random packings over the range normally obtained in practice. The model is also shown to be in fair agreement with observed properties in the outer region of the loosest random packings prepared in the laboratory, enabling estimates to be made of some of their properties in the central region which have not so far been determined experimentally. The two-dimensional model presented in Part II is also extended to the outer region, and the computed results are supported by a limited experimental study.
Cylindrical configuration, Containers, Packings, Wall effects
Tingate, G. A. (1971). Some geometrical properties of packings of equal spheres in cylindrical vessels, Part IV - extension of model to outer region of semi-infinite vessel with plane wall. (AAEC/E223). Lucas Heights, NSW: Australian Atomic Energy Commission.