Collect. Czech. Chem. Commun. 1979, 44, 829-840

A stratified model of a random bed of equal-diameter spheres confined by a plane

Vladimír Staněk and Vít Eckert

Institute of Chemical Process Fundamentals, Czechoslovak Academy of Sciences, 165 02 Prague 6-Suchdol


A mathematical model has been formulated of a bed of equal-diameter spheres randomly dumped on a plane surface. Based on this model relatioships have been derived for the area porosity of the bed as a function of the distance from the supporting plane. The model contains three parameters with well defined physical meaning and its asymptote for infinite distance from the supporting plane satisfies criteria typical for random beds of spheres.