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The second Stokes problem with specular–diffusive boundary conditions

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A solution has been obtained for the second Stokes problem for a monatomic gas with specular–diffusive boundary conditions. The plane bounding a half-space that is filled with gas, executes harmonic oscillations in its own plane. The kinetic equation with model collision integral in the form of the τ-model is used. A distribution function of the gas molecules is constructed and the mass velocity of the gas in the half-space is found. The method allows one to obtain a solution with arbitrary degree of accuracy. The method is based on the idea of representing the boundary condition on the distribution function in the form of a source in the kinetic equation.

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Authors and Affiliations

  1. Moscow State Regional University, Moscow, Russia

    V. A. Akimova, A. V. Latyshev & A. A. Yushkanov

Authors
  1. V. A. Akimova
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  2. A. V. Latyshev
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  3. A. A. Yushkanov
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Correspondence to V. A. Akimova.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 101–105, March, 2013.

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Akimova, V.A., Latyshev, A.V. & Yushkanov, A.A. The second Stokes problem with specular–diffusive boundary conditions. Russ Phys J 56, 349–355 (2013). https://doi.org/10.1007/s11182-013-0039-z

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  • DOI: https://doi.org/10.1007/s11182-013-0039-z

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