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2015-04

Modeling of Monosized Sphere Packings into Cylinders

by Burtseva, L.; Valdez Salas, B.; Werner, F.; Petranovskii, V..


Series: 2015-04, Preprints

MSC:
11H31 Lattice packing and covering
62G07 Density estimation

Abstract:
Modeling of a monosized sphere packing in a cylindrical container of a fixed diameter is a frequently discussed subject in recent researches. It is motivated by the high applicability of these models, particularly by the advances in nanomaterial science and engineering, associated with the development of hierarchically ordered matters of specific structures and properties. These features strongly depend on the arrangement and density of the filling atoms in the channels of a nanostructured porous matrix. A special interest is devoted to a dense random packing, which by its nature is not totally random when the spheres do not overlap. In this paper, related models of packing are classified basing on the space filling method, and the densities reached theoretically as well as experimentally for those classes are given. The effects produced by some parameters on the packing density and the main properties are analyzed. The experimental techniques and computer modeling approaches are summarized.

Keywords:
packing, monosized spheres, cylinder, density, porosity, modeling