Model of Quasifaceted Cells and Possibility of its Application to Free-Flowing Materials

Abstract

A model of the ordered packing structure of free-flowing media (spheres) with cells in the form of conventionally cut-out (quasifaceted) parallelepipeds, whose vertices are located at the center of eight neighboring granules- spheres, is studied. Power-law and exponential dependences of the coordination number of the granules- spheres on the packing density γ and porosity ω of the medium are presented. More precise linear and nonlinear dependences are presented for comparatively narrow ranges of γ and ω which are characteristic for filling-media.