A numerical study of the propagation of a shock wave from a homogeneous gas into a gas suspension with a periodic distribution of the dispersed phase

Authors

  • Dmitry A. Tukmakov Institute of Mechanics and Engineering, Kazan Scientific Centre, Russian Academy of Sciences, 2 Lobachevskogo Street, Kazan 420111, Russia

Keywords:

monodisperse gas suspension, interpenetrating continua, explicit McCormack scheme, shock waves
Supporting Agencies
The work was carried out within the framework of the state assignment of the Kazan Scientific Centre of the Russian Academy of Sciences «Development of the mechanics of multiphase and aerohydroelastic system, shell structures with applications in mechanical engineering and oil production».

Abstract

In this paper, we present a numerical model of shock wave propagation in a gas suspension. The mathematical model realised a continuum technique for modelling the dynamics of inhomogeneous media, namely, for each component of the suspension, a complete hydrodynamic system of motion equations was solved. The carrier medium was described as a viscous, compressible heat-conducting gas. The mathematical model took into account the exchanges of momentum heat between the components of the mixture. The equations of the mathematical model were solved by the explicit McCormack finite-difference method. To obtain a monotonic solution, a non-linear correction scheme was used. The process of interaction of a shock wave passed from a homogeneous gas into a gas suspension was considered. The dispersed phase in the low-pressure chamber had a periodic spatial distribution of the concentration. The influence of the periodicity of the particle concentration distribution on the pressure drop during the passage of a shock wave through a gas suspension was determined. The influence of the intensity of the shock wave on the value of the gas pressure drop when passing through sections of a gas suspension with a cyclically distributed concentration of the dispersed phase was considered.

Author Biography

  • Dmitry A. Tukmakov, Institute of Mechanics and Engineering, Kazan Scientific Centre, Russian Academy of Sciences, 2 Lobachevskogo Street, Kazan 420111, Russia

    PhD (physics and mathematics); researcher at the laboratory of continuum mechanics

     

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Published

2024-04-04

Issue

No. 1 (2024): Journal of the Belarusian State University. Mathematics and Informatics

Section

Theoretical and Applied Mechanics

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How to Cite

[1]
Tukmakov, D.A. 2024. A numerical study of the propagation of a shock wave from a homogeneous gas into a gas suspension with a periodic distribution of the dispersed phase. Journal of the Belarusian State University. Mathematics and Informatics. 1 (Apr. 2024), 16–28.