Mathematical modeling

Numerical study of influence of the dispersion component material density on intensity of acoustic pulse generation in an electrically charged gas suspension

D. A. Tukmakov

Federal Research Center "Kazan Scientific Center" of the Russian Academy of Sciences, 2/31 Lobachevsky Street, Kazan 420111, Russia

Abstract: The article is devoted to modeling the flow of a dusty medium caused by the internal electric charge of a dispersed component. In this paper, we consider the effect of the true density of the dispersed particles material on the intensity of pressure perturbation generated in a dusty medium. The mathematical model used to simulate the process takes into account the velocity and thermal nonequilibrium of the flow of a two-phase medium. For each of the mixture components, we solved a complete hydrodynamic system of continuous medium motion equations that included continuity equations, conservation equations for momentum spatial components, and energy conservation equations. The system of equations of the multiphase medium dynamics was solved using the explicit finite-difference method of the second order of accuracy. As a result of the numerical simulation, it was found that an increase in the true density of the material of electrically charged particles leads to an increase in the intensity of the generated acoustic disturbance.

Keywords: heterogeneous mixture model, multiphase media, interphase interaction, Navier–Stokes equation, Coulomb force.

UDC: 533:6+533:9+519.688

Received: 12.04.2020
Revised: 09.10.2020
Accepted: 29.11.2020

DOI: 10.25587/SVFU.2020.77.39.008

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