Geodesic
Numerical study of the propagation of a small shock wave intensity from a homogeneous gas to an electrically charged dusty environment
Čebyševskij sbornik, Tome 21 (2020) no. 4, pp. 257-269

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The paper is devoted to numerical modeling of the process of propagation of a low-intensity shock wave from a pure gas into an inhomogeneous medium, which is a gas suspension of solid particles. Computational experiments considered both electric neutral and charged suspensions of solid particles. In the mathematical model used in the work, the conservation of the momentum components of the carrier medium was described by the system of Navier-Stokes equations for a compressible gas in a two-dimensional formulation. When describing the interaction of the carrier and the dispersed phase of the gas suspension, the Stokes law, Archimedes' principle, the virtual masses force were considered, interphase heat transfer was also taken into account. For the dispersed component of the mixture, a complete hydrodynamic system of equations of motion was solved. It included the equation of continuity, the equation of conservation of momentum and energy. The system of equations of the mathematical model, supplemented by boundary conditions, was solved by an explicit finite-difference method of the second order of accuracy. In the numerical model, an algorithm for suppressing numerical oscillations was also used. Numerical modeling showed that the presence of an electric charge in the dispersed component of the mixture affects the movement of the dispersed component and, due to interfacial interaction, the gas flow. As a result of numerical calculations, it was found that an increase in particle size leads to a significant increase in interfacial velocity slip. It was determined that the intensity of the velocity slip between the carrier and the dispersed phases in an electrically charged dusty medium occurs in the direction of increasing the specific Coulomb force. While in an electrically neutral gas suspension, the growth of velocity slip occurs in the direction of motion of the shock wave.
Keywords: multiphase media, shock waves, Coulomb force, interfacial interaction, numerical simulation. 
@article{CHEB_2020_21_4_a21,
     author = {D. A. Tukmakov and A. A. Ahunov},
     title = {Numerical study of the propagation of a small shock wave intensity from a homogeneous gas to an electrically charged dusty environment},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {257--269},
     publisher = {mathdoc},
     volume = {21},
     number = {4},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2020_21_4_a21/}
}
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D. A. Tukmakov; A. A. Ahunov. Numerical study of the propagation of a small shock wave intensity from a homogeneous gas to an electrically charged dusty environment. Čebyševskij sbornik, Tome 21 (2020) no. 4, pp. 257-269. http://geodesic.mathdoc.fr/item/CHEB_2020_21_4_a21/