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Derivation of the equations of two-temperature gas dynamics by a modified Chapman-Enskog method

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Abstract

A general algorithm of a modified Chapman—Enskog method for solving the system of Boltzmann equations is constructed for a binary mixture of monatomic gases with strongly differing masses of the molecules\((\varepsilon \equiv \sqrt {m/M} \ll 1)\). In contrast to other published studies, the algorithm is based on a more careful examination of the expansions of the collision integrals of the particles of different species with respect to ɛ and the assumptions under which two-temperature gas dynamics is realized.

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Literature cited

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  1. Moscow

    V. S. Galkin

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  1. V. S. Galkin
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp, 145–153, January–February, 1981.

I thank N. K. Makashev and V. A. Zharov for fruitful discussions.

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Galkin, V.S. Derivation of the equations of two-temperature gas dynamics by a modified Chapman-Enskog method. Fluid Dyn 16, 114–121 (1981). https://doi.org/10.1007/BF01094823

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  • DOI: https://doi.org/10.1007/BF01094823

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