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Matematicheskoe modelirovanie, 2009, Volume 21, Number 12, Pages 59–75 (Mi mm2913)  

This article is cited in 5 scientific papers (total in 5 papers)

Nonequilibrium transport processes in problems on the nonuniform relaxation

V. V. Aristov, S. A. Zabeloka, A. A. Frolovaa

a Dorodnitsyn Computing Centre of Russian Academy of Sciences
Full-text PDF (485 kB) Citations (5)
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Abstract: The Boltzmann equation for mixtures of simple gases and also the model kinetic equation are solved for simulation of nonequilibrium processes at a scale of a mean free path in spatially nonuniform relaxation structures. The mixture of gases is considered because for a more complex medium it is possible to obtain a more complex nonequilibrium structure in this open system. Nonuniform steady relaxation processes for 1D and 2D cases are studied. The important relations observed earlier for a one-component gas are revealed. It is shown that transport in the relaxation zone is realized in a nonclassical manner. In particular, the heat flux of the mixture has the same direction as the gradient of the temperature of the mixture. The nonequilibrium convective heating or cooling of the region downflow depending on if the heat flux on the boundary is positive or negative is observed. It is also shown that the sign of the velocity gradient can be the same as the sign of the appropriate component of the nonequilibrium viscous stress tensor.
Received: 22.12.2008
Language: Russian
Citation: V. V. Aristov, S. A. Zabelok, A. A. Frolova, “Nonequilibrium transport processes in problems on the nonuniform relaxation”, Matem. Mod., 21:12 (2009), 59–75
Citation in format AMSBIB
\Bibitem{AriZabFro09}
\by V.~V.~Aristov, S.~A.~Zabelok, A.~A.~Frolova
\paper Nonequilibrium transport processes in problems on the nonuniform relaxation
\jour Matem. Mod.
\yr 2009
\vol 21
\issue 12
\pages 59--75
\mathnet{http://mi.mathnet.ru/mm2913}
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  • https://www.mathnet.ru/eng/mm/v21/i12/p59
  • This publication is cited in the following 5 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:410
    Full-text PDF :167
    References:65
    First page:8
     
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