Stochastic Model of Parallel or Sequential Processes of Deaeration and Mixing of Granular Media Using the Operation of a Centrifugal Device as an Example

Abstract

Based on the theory of Markov processes, a deaeration model of bulk materials in parallel and sequential operations that include mixing with a degree of mixture heterogeneity and with a compaction method is proposed. Based on one-dimensional or multidimensional Poisson laws, distribution functions over the microscopic states of a system of particles are constructed for the random relative change of a selected deaerated volume. The model is illustrated by combining these processes in the working chamber of a centrifugal device. The random porosity of the mixture is constructed using a one-dimensional Poisson equation, which is discrete in system states and continuous over time parameters, and the relevant moments were estimated using moment generating functions.