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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 1, Pages 131–141 (Mi zvmmf8051)  
This article is cited in 9 scientific papers (total in 9 papers)

Study of spatial relaxation by means of solving a kinetic equation

V. V. Aristov, M. V. Panyashkin

Dorodnitsyn Dorodnitsyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333 Russia
Full-text PDF (236 kB) Citations (9)
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Abstract: Nonuniform spatial relaxation is studied by solving a kinetic equation. Both analytical and numerical methods are used in the study. The collision term is used in a model form that makes it possible to find conditions for the nonequilibrium boundary function that ensure anomalous transport of nonequilibrium momentum and energy. Specifically, the temperature gradient has the same sign as the heat flux, but this does not contradict the traditional macroscopic description, since relaxation occurs in a zone of the order of the mean free path. Versions of such nonequilibrium heating or cooling in a downstream region are presented.
Key words: Boltzmann kinetic equation, BGK model equation, spatially nonuniform relaxation, anomalous transport.
Received: 24.06.2010
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 1, Pages 122–132
DOI: https://doi.org/10.1134/S0965542511010039
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: V. V. Aristov, M. V. Panyashkin, “Study of spatial relaxation by means of solving a kinetic equation”, Zh. Vychisl. Mat. Mat. Fiz., 51:1 (2011), 131–141; Comput. Math. Math. Phys., 51:1 (2011), 122–132
Citation in format AMSBIB
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    • This publication is cited in the following 9 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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    Full-text PDF :130
    References:65
    First page:13
     
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