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Stochastic Simulation of the Process of Size Separation of Granular Materials on Sieve Classifiers
Theoretical Foundations of Chemical Engineering ( IF 0.8 ) Pub Date : 2020-12-14 , DOI: 10.1134/s0040579520050279
F. G. Akhmadiev , R. F. Gizzyatov

Abstract

The process of separation of granular materials into specific size fractions on sieve classifiers based on Poisson processes that relate to discontinuous Markov processes with discrete states is studied. The residence of particles of a certain size fraction on the surface of the sieves is defined as certain states, and a transition point from one state to another state (sieving) is defined as a random process. To determine the probabilities of states, a system of stochastic differential equations is constructed, the coefficients of which are calculated as dependent on the probability of sifting the particles into sieve cells. The solutions allow one to calculate the extraction rate and evaluate the separation efficiency. A computational experiment is conducted to study the main characteristics of the process.



中文翻译:

筛分机上颗粒状物料粒度分离过程的随机模拟

摘要

研究了基于与具有离散状态的不连续马尔可夫过程相关的泊松过程的筛分机上的颗粒物分离成特定尺寸部分的过程。将一定尺寸分数的颗粒在筛表面上的停留定义为某些状态,并且从一种状态到另一种状态的过渡点(筛分)定义为随机过程。为了确定状态的概率,构建了一个随机微分方程系统,其系数的计算取决于将颗粒筛入筛孔的可能性。该解决方案允许计算提取率并评估分离效率。进行了计算实验以研究该过程的主要特征。

更新日期:2020-12-14
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