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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2024 Volume 36, Number 5, Pages 120–136 (Mi mm4568)

Regarding the role of second viscosity in rarefied gas dynamics

D. S. Yanysheva, I. A. Shirokovb, M. A. Kiryushinac, A. M. Molchanova, L. V. Bykova

a Moscow Aviation Institute (National Research University)
b Lomonosov Moscow State University
c Keldysh Institute of Applied Mathematics RAS

Abstract: Using the exemplar problem of a rarefied gas flow around an inclined plate with M = 20, the issues of correctly taking into account the effects that arise during the flow of rarefied gas, in particular, second (bulk) viscosity effects, are considered. A brief overview of the current state of studies of second viscosity of gases is given. The results of calculations using the Navier–Stokes equations and quasi-gasdynamic equations are presented and analyzed. A conclusion is made about the significant influence of second viscosity on the results of rarefied gas flow simulations, regardless of the system of dynamics equations utilized.

Keywords: rarefied gas flow, second viscosity, Navier-Stokes equations, quasi-gas dynamic equations.

Received: 05.02.2024
Revised: 08.05.2024
Accepted: 13.05.2024

DOI: 10.20948/mm-2024-05-09



© Steklov Math. Inst. of RAS, 2024