Using the Mathematical Apparatus of Markov Chains to Optimize the Mixing and Screening Processes of Bulk Materials

A design of a continuous mixer is proposed for implementation of an ordered loading of the mixture components into a circulating mixer. A mathematical model is developed for the preparation of a three-component mixture to adjust the loading process of the key component, which is most prone to segregation, into the mixer. Due to the patented design of a classifier, radial blades can be installed inside the drum to neutralize the negative effect of segregation. The results of numerical experiments make it possible to determine the cross section of a classifier, under which the efficiency of separating particles of fine and commercial fractions from the mixture decreases. In this section of the classifier, the radial blade should be installed. The use of mathematical models based on Markov chains is also possible for other types of devices with an ordered movement of the components of a mixture of bulk materials.