Modeling of Separation of Granular Materials on Multiple-Deck Classifiers Using the Theory of Stochastic Processes

Calculation of multilayer sieve classifiers for separating grained materials by size

“…In contrast to works [2,9], mathematical modelling of the process of separation of granular materials on multi-tiered sieve classifiers, taking into account the selected separation scheme from coarse to fine fraction, we will be carried out on the basis of the theory of Poisson processes.…”

“…In the paper [8], the process of separation of granular media on sieve classifiers was considered as a diffusion process and a change in the concentration of the number of passage particles along the thickness of a layer of granular material depending on time in the direction of the vibrating surface was studied from the standpoint of Markov processes and described by the Kolmogorov-Fokker-Planck equation. In the papers [2,9], the process of isolating target products on multistage classifiers was also studied using the theory of random processes.…”

“…The results of the study of the processes of separation of granular materials on multitiered sieve classifiers by the authors of this article were published in [2,9,[15][16][17]. The work [2] considers a mathematical model of the process of thin-layer separation of granular materials on multi-tiered sieve classifiers based on the theory of Markov processes.…”

“…In [9], a mathematical model of the process of separation of granular materials on multistage sieve classifiers based on the theory of Poisson processes is considered. To describe the position of particles on the sieves of a multistage classifier, the process of random walk of particles on a plane is considered, which is described by a system of difference equations.…”

Gas Dynamics of the Process of Separation of Granular Materials Into Fractions by Specific Weight

“…1) separation of a granular material into fractions; 2) removal of separated fractions from the apparatus. The process of separation of granular materials by dimensions and the methods of their calculation have been studied fairly thoroughly, for example, they were considered in works [1,2] that contain the review of the methods of mathematical simulation of these processes.…”