Отправлено: 14.03.09 04:27. Заголовок: Modelling relationships between particle and pore size distributions

Powder Technology
Vol: 96, Issue: 1, April 2, 1998 Bibliographic Page
pp. 33-41

Title: A probabilistic approach towards modeling the relationships between particle and pore size distributions: the multicomponent packed sphere case
Authors: Rouault, Y.a; Assouline, S.
Affiliations: a. Theory Group, Max-Planck-Institut fьr Polymerforschung, Ackermannweg 10, 55128 Mainz, Germany
Keywords: Porous media; Size distributions; Random packing; Packed spheres; Fractals
Abstract (English): A probabilistic approach that determines the distribution of the volume of the voids in packed spheres, given their size distribution, is proposed. The tetrahedron system of dense random packing is adopted, but the probability to form it is expressed in a new way, in terms of the radii, the size distribution, and the probability of pair formation of the spheres. The volume of the void within each tetrahedron is approximated by the volume of the osculatory sphere. The approach is applied to power-function, Gaussian and log-normal distributions of sphere sizes. For the power-function case, the result is a bell-shaped void size distribution, the shape of which depends upon the power-function exponent. Therefore, a fractal-like behavior of the particles does not necessarily induce a fractal-like behavior of the corresponding voids. For the two other cases, the type of the void size distribution is similar to that of the sphere size distribution. However, no similarity is found between the distributions themselves, indicating that the sphere size-void size relation is not a simple linear relationship. The void size distribution was found to be related to the standard deviation of the corresponding particle size distribution. Increasing the standard deviation leads to a broader void size distribution and increases the mean void size.

Publisher: Elsevier Science