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Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
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Tukmakov A. L., Tukmakov D. A. Numerical study of the influence of the parameters of dispersed particles on the deposition of the solid phase of an electrically charged polydisperse gas suspension. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2022, vol. 22, iss. 1, pp. 90-102. DOI: 10.18500/1816-9791-2022-22-1-90-102, EDN: DJLRDK

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Numerical study of the influence of the parameters of dispersed particles on the deposition of the solid phase of an electrically charged polydisperse gas suspension

Tukmakov Aleksey L., Federal Research Center "Kazan Scientific Center of the Russian Academy of Sciences"
Tukmakov Dmytry A., Federal Research Center "Kazan Scientific Center of the Russian Academy of Sciences"

The work is devoted to the study of the laws governing the deposition of particles of the dispersed phase of an electrically charged dusty medium moving in a channel onto an electrode plate. The aim of the study is to reveal the influence of the size of dispersed inclusions and the density of the material of particles on the process of settling of fractions of a polydisperse gas suspension on the surface of the electrode plate. When modeling the dynamics of a gas suspension, a mathematical model of the motion of a multi-speed and multi-temperature polydisperse two-phase medium was used, taking into account the interphase force interaction and interphase heat transfer. When describing the force interaction, the Stokes force was taken into account. The mathematical model of the dynamics of a two-phase medium was supplemented with boundary conditions. The system of equations was solved by the McCormack explicit finite-difference method having the second order of accuracy. To obtain a monotonic numerical solution, a grid function correction scheme was applied. For the potential of the electric field on the lateral surfaces, the values of the potential were determined; at the open ends of the channel for the potential of the electric field, uniform Neumann boundary conditions were assumed. The paper considered gas suspension, the dispersed phase of which contains three fractions. At the same size, the gas suspension fractions differed in the material density of the particles of the fractions. At the same density of the material of particles, the fractions of the solid phase of the gas suspension had different sizes of dispersed inclusions. As a result of numerical modeling, it was revealed how the density of the material of the dispersed phase and the size of the particles affect the process of precipitation of fractions of the dispersed phase of the two-component mixture. From calculations it follows that with the same particle size, particles with a higher density of the material are deposited more intensively, and with the same density of the particle material, particles with a large linear size are deposited more intensively.

The mathematical model of the dynamics of an electrically charged aerosol in the channel was developed within the framework of the state assignment of the FRC KazanSC of RAS, calculations of the effect of the properties of the dispersed phase on the deposition of aerosol in the channel were carried out at the expense of the grant of the President of the Russian Federation No. MK-297.2020.1.
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