FILLS OF CO-SIZED AND DIFFERENT-SIZED GRANULES AS QUASI-ORDERED STRUCTURES

From the measured data of the packing density γ (and/or porosity ω) of filling media of co-sized or different-sized granules, the authors evaluate the coordination number of a sphere granule N and the acceptable type of cell as a self-sufficient element of a conditionally ordered structure. It is shown that for the expansive class of filling media (of identical spherical granules, nearly identical granules, and also granules differing no more than twice in size), the medium′s structure may be considered to consist of cells close to square-rhombic ones (γ = 0.605 and ω = 0.395) by assuming that N ≈ 8. A filling media with different-sized granules (granule size differs more than twice) may be considered structures with combinations of cells like rhombic, rhombic-diagonal, and square-rhombic diagonal cells, for which γ ≥ 0.7 and ω ≤ 0.3. Here, N is assumed from N ≈ 8 to N ≈ 12 in accordance with the established relationship between N and γ (and/or ω).
   
Author:  A. A. Sandulyak, V. A. Ershova, D. A. Sandulyak, A. V. Sandulyak, and M. N. Polismakova
Keywords:  polyspherical medium, ordered structure, disordered structure, packing density, porosity, coordination number.
Page:  329