Calculating the Process of Loose Material Mixing

• Published in: Chemical and petroleum engineering Vol. 57; no. 3-4; pp. 292 - 298
• Main Authors: Semenov, E. V., Slavyanskiy, A. A., Nikitin, I. A., Klokonos, M. V., Mitroshina, D. P., Karamzin, A. V.
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.07.2021; Springer; Springer Nature B.V
• Subjects: Adequacy; Algorithms; Chemistry; Chemistry and Materials Science; Geotechnical Engineering & Applied Earth Sciences; Industrial Chemistry/Chemical Engineering; Industrial Pollution Prevention; Kinetics; Mineral Resources; Process parameters; Statistical analysis; Statistical mechanics; physical and mathematical modeling; powder-like substance; diffusion mixing; heterogeneity factor; blade
• ISSN: 0009-2355; 1573-8329
• DOI: 10.1007/s10556-021-00932-x

On the basis of scientific provisions of statistical mechanics and the entropy method arising from these provisions, the article substantiates the physical and mathematical modeling of the kinetics of the process of loose material mixing in a mixing installation, while the blade of the machine is simulated by an absorbing wall. Using the resulting solution to the task on the counting density of weight particle distribution near the blade (as the probability of this event), an equation for calculating the mixing factor (a parameter of mixture quality) is derived. A method for calculating the basic control parameter of the mixing process (the macro-diffusion factor) independent of the process parameters of the blade installation is proposed. On the basis of experiments on mixing portions of loose materials, the adequacy of the results of calculating the kinetics of the process of mixing portions of the product according to the developed algorithm has been confirmed.