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Thermal slip for a gas with collision frequency proportional to the velocity of molecules

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Abstract

Exact solutions are obtained for the problem of the thermal slip of an inhomogeneously heated gas along a plane surface in a half-space. Two classes of the model kinetic Boltzmann equations are applied: the equation with a collision operator in the BGK (Bhatnagar, Gross, and Krook) form and in the form of an ellipsoidalstatistical model (this equation is constructed for the first time). The collision frequency in both models is proportional to the velocity of molecules. The results of numerical calculations are presented.

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Authors and Affiliations

  1. Moscow Pedagogical University, Russia

    A. V. Latyshev & A. A. Yushkanov

Authors
  1. A. V. Latyshev
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  2. A. A. Yushkanov
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 71, No. 2, pp. 353–359, March–April, 1998.

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Latyshev, A.V., Yushkanov, A.A. Thermal slip for a gas with collision frequency proportional to the velocity of molecules. J Eng Phys Thermophys 71, 359–367 (1998). https://doi.org/10.1007/BF02681561

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  • DOI: https://doi.org/10.1007/BF02681561

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