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Boundary conditions for the equations of two-temperature gas dynamics of a binary mixture with strongly differing masses of the components

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Abstract

A study is made of the problem of the “boundary conditions” for the equations of two-temperature gas dynamics for a binary mixture with strongly differing masses when (m/M)1/2 ∼ Kn ≪ 1 (Kn is the Knudsen number, m is the mass of the light molecules, and M the mass of the heavy molecules). The flow structure is established at velocities of the light and heavy components of the order of the velocity of sound of the heavy component. The formulation of the boundary conditions for the gas-dynamic equations is investigated. It is shown that the only closed boundary layer theory is Prandtl's theory taking into account terms of order Kn1/2.

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Authors and Affiliations

  1. Moscow

    V. I. Nosik

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  1. V. I. Nosik
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 93–98, September–October, 1982.

I thank M. N. Kogan, N. K. Makashev, and E. S. Asmolov for assistance in the work and valuable discussions.

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Nosik, V.I. Boundary conditions for the equations of two-temperature gas dynamics of a binary mixture with strongly differing masses of the components. Fluid Dyn 17, 730–734 (1982). https://doi.org/10.1007/BF01090154

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  • DOI: https://doi.org/10.1007/BF01090154

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