Geodesic
Numerical study of the influence of interphase interaction on the dynamics of the gas phase of a gas suspension in oblique shock wave
Journal of computational and engineering mathematics, Tome 11 (2024) no. 3, pp. 28-43.

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This paper presents a numerical model of the dynamics of a gas suspension in a channel with varying geometry. To model the dynamics of a gas suspension, a continuum technique was used to describe the dynamics of a heterogeneous medium. The carrier medium was described as a viscous, compressible and thermally conductive gas. For the carrier medium and the dispersed component, a complete hydrodynamic system of dynamics equations was solved, including equations for the conservation of density, equations for the conservation of the spatial components of momentum and energy. The interfacial momentum exchange included the dynamic Archimedes force, the force of added masses and the aerodynamic drag force. The heat exchange between the carrier medium and the dispersed phase was also taken into account. The flow of an inhomogeneous medium and a homogeneous gas was described in a channel with expansion. To describe the dynamics of a continuous medium in a non-rectangular region, a transition was made to generalized coordinates. To integrate the system of equations, the finite-difference MacCormack method of second order accuracy was used. To suppress numerical oscillations, a nonlinear correction scheme for the numerical solution was used. A comparison was made of the results of calculations carried out for the continuum model of the dynamics of a gas suspension and the solution of a two-dimensional system of Navier–Stokes equations with similar boundary conditions. As a result of numerical calculations, it was revealed that interphase interaction has a significant effect on the dynamics of the carrier medium in a gas suspension. The dynamics of the carrier medium in a gas suspension differs significantly from the dynamics of a homogeneous gas. Due to interphase interaction, the intensity of the flow of the carrier medium in a gas suspension is lower than in a homogeneous gas.
Keywords: explicit finite difference scheme, continuum modeling technique, interphase interaction, Navier–Stokes equation, gassuspension. 
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     author = {D. A. Tukmakov},
     title = {Numerical study of the influence of interphase interaction on the dynamics of the gas phase of a gas suspension in oblique shock wave},
     journal = {Journal of computational and engineering mathematics},
     pages = {28--43},
     publisher = {mathdoc},
     volume = {11},
     number = {3},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JCEM_2024_11_3_a2/}
}
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D. A. Tukmakov. Numerical study of the influence of interphase interaction on the dynamics of the gas phase of a gas suspension in oblique shock wave. Journal of computational and engineering mathematics, Tome 11 (2024) no. 3, pp. 28-43. http://geodesic.mathdoc.fr/item/JCEM_2024_11_3_a2/