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Matematicheskoe modelirovanie, 2020, Volume 32, Number 9, Pages 103–118
DOI: https://doi.org/10.20948/mm-2020-09-07
(Mi mm4216)
 

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

Testing the kinetic-hydrodynamic model by calculating a flow above an absorbing surface

Ju. A. Nikitchenko, A. V. Tikhonovets

Moscow Aviation Institute (National Research University)
Full-text PDF (566 kB) Citations (1)
References:
Abstract: The problem of flow around a thin plate of infinite magnitude installed across the flow is considered. The frontal surface of the plate absorbs gas. For calculations, we used a mathematical flow model containing a combination of the Navier–Stokes–Fourier model and the model kinetic equation of polyatomic gases. The calculations were performed for a supersonic flow with a Mach number of 2.31 for a Knudsen number of 0.1 ... 0.001 and a plate surface absorption coefficient from 0 to 1. The obtained flow fields were compared with solutions of the model kinetic equation of polyatomic gases. The drag coefficient of the plate was compared with known literature data. For all considered flow parameters, a satisfactory agreement is obtained with the known data. It is shown that there are no gaps in the derivatives of gas-dynamic parameters in the cross-linking region of the kinetic and hydrodynamic components of the model. The increase in the computational efficiency of the model with respect to the solutions of model kinetic equations is estimated. The conclusion is drawn on the suitability of the considered kinetic-hydrodynamic model for describing highly nonequilibrium flows.
Keywords: polyatomic gases, Navier–Stokes–Fourier model, model kinetic equation, combined model, dynamic nonequilibrium, absorbing surface.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FSFF-2020-0013
Received: 13.11.2019
Revised: 26.12.2019
Accepted: 27.01.2020
English version:
Mathematical Models and Computer Simulations, 2021, Volume 13, Issue 3, Pages 426–436
DOI: https://doi.org/10.1134/S2070048221030121
Document Type: Article
Language: Russian
Citation: Ju. A. Nikitchenko, A. V. Tikhonovets, “Testing the kinetic-hydrodynamic model by calculating a flow above an absorbing surface”, Matem. Mod., 32:9 (2020), 103–118; Math. Models Comput. Simul., 13:3 (2021), 426–436
Citation in format AMSBIB
\Bibitem{NikTik20}
\by Ju.~A.~Nikitchenko, A.~V.~Tikhonovets
\paper Testing the kinetic-hydrodynamic model by calculating a flow above an absorbing surface
\jour Matem. Mod.
\yr 2020
\vol 32
\issue 9
\pages 103--118
\mathnet{http://mi.mathnet.ru/mm4216}
\crossref{https://doi.org/10.20948/mm-2020-09-07}
\transl
\jour Math. Models Comput. Simul.
\yr 2021
\vol 13
\issue 3
\pages 426--436
\crossref{https://doi.org/10.1134/S2070048221030121}
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  • https://www.mathnet.ru/eng/mm4216
  • https://www.mathnet.ru/eng/mm/v32/i9/p103
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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    Abstract page:250
    Full-text PDF :37
    References:18
    First page:8
     
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