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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 12, Pages 1942–1959
DOI: https://doi.org/10.31857/S0044466923120281
(Mi zvmmf11662)
 

This article is cited in 1 scientific paper (total in 1 paper)

Mathematical physics

Numerical analysis of rarefied gas flow through a system of short channels

I. V. Voronich, V. A. Titarev

Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, 119333, Moscow, Russia
Citations (1)
Abstract: The $\mathrm{S}$-model kinetic equation is used to study the rarefied gas flow from a high-pressure tank to a low-pressure one through a flat membrane with a finite number of pores. The kinetic equation is solved numerically using a second-order accurate implicit conservative method implemented in the in-house code Nesvetay. For transitional and continuum flow regimes, numerical solutions of the compressible Navier–Stokes equations are obtained. The gas flow rate through the system of pores and the forces acting on the membrane bars are investigated as functions of the Knudsen number $(\mathrm{Kn})$ at a pressure ratio of $2:1$ in the tanks. The features of the flow field near the membrane and away from it are described.
Key words: membrane, channel, kinetic equation, $\mathrm{S}$-model, rarefied gas, computational aerodynamics, unstructured mesh, parallel computations.
Received: 17.05.2023
Revised: 26.06.2023
Accepted: 22.08.2023
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 12, Pages 2227–2243
DOI: https://doi.org/10.1134/S0965542523120205
Bibliographic databases:
Document Type: Article
UDC: 519.635
Language: Russian
Citation: I. V. Voronich, V. A. Titarev, “Numerical analysis of rarefied gas flow through a system of short channels”, Zh. Vychisl. Mat. Mat. Fiz., 63:12 (2023), 1942–1959; Comput. Math. Math. Phys., 63:12 (2023), 2227–2243
Citation in format AMSBIB
\Bibitem{VorTit23}
\by I.~V.~Voronich, V.~A.~Titarev
\paper Numerical analysis of rarefied gas flow through a system of short channels
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 12
\pages 1942--1959
\mathnet{http://mi.mathnet.ru/zvmmf11662}
\crossref{https://doi.org/10.31857/S0044466923120281}
\elib{https://elibrary.ru/item.asp?id=54912952}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 12
\pages 2227--2243
\crossref{https://doi.org/10.1134/S0965542523120205}
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  • https://www.mathnet.ru/eng/zvmmf/v63/i12/p1942
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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