Simulation of Grain Separation Process on Vibration Sieves

Abstract

In mathematical modeling of the grain separation process during its cleaning the following approaches are used: deterministic, statistical and combined. Deterministic models demonstrate the influence of individual factors on the process. Assumptions made in these models can significantly distort the physical picture of the process. In the middle of last century there appeared the probabilistic approach which takes into account the diversity of random factors influence on the kinetics of vibroseparation. In this paper, a stochastical approach to modeling the process of grain separation on vibrating screens is developed and mathematical apparatus of Markov chain theory that effectively describes the evolution of dispersed media with random properties is proposed. Determination of the stochastic model parameters based on the experimental data of test experiments on the periodic classification of bulk materials allows adequately modeling and calculating continuous processes of industrial vibration separation of grain.