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Study of spatial relaxation by means of solving a kinetic equation

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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.

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Authors and Affiliations

  1. Dorodnitsyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia

    V. V. Aristov & M. V. Panyashkin

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  1. V. V. Aristov
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  2. M. V. Panyashkin
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Correspondence to V. V. Aristov.

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Dedicated to Academician A.A. Dorodnicyn on the Occasion of the Centenary of His Birth

Original Russian Text © V.V. Aristov, M.V. Panyashkin, 2011, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2011, Vol. 51, No. 1, pp. 131–141.

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Aristov, V.V., Panyashkin, M.V. Study of spatial relaxation by means of solving a kinetic equation. Comput. Math. and Math. Phys. 51, 122–132 (2011). https://doi.org/10.1134/S0965542511010039

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  • DOI: https://doi.org/10.1134/S0965542511010039

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