Statistical modelling of comminution process

Author: H. Otwinowski

The theoretical analysis of a statistical model of the comminution process is presented in the paper.

Nowadays, one of the most important investigative directions of the comminution process is mathematical analysis based on population balance, where two probability functions are inserted: the selective function and the breakage function.

The selective function quantifies probability of particles of a given size crumbling at a single milling and depends only on the parameters of the breaking load.

The selective function can also be interpreted as the milling velocity of particles.

The breakage function expresses the cumulative size distribution of a single milled product. This function depends on the physical and mechanical properties of the milled material.

In this work the assumptions of the stochastic model of the comminution process are presented.

Theoretical analysis of the mass-balance equations, containing the breakage function and the selective function, is presented.

The method of experimental determination of both the stochastic functions is also presented.