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Construction of the mass velocity profile for a rarefied molecular gas entrained by a rotating sphere taking into account thermophysical parameters of the gas

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Abstract

The problem of a sphere rotating in a molecular gas is solved in the isothermal approximation. The expression for the velocity of a rarefied molecular gas entrained by a sphere rotating in it is derived for sliding flow conditions taking into account the second-order correction in the Knudsen number. A generalization of the Boltzmann kinetic equation in the BGK model to the case of rotational degrees of freedom of gas molecules is used as the basic equation. The diffusive reflection model is employed as the microscopic boundary condition on the surface of the sphere. It is shown that this approach makes it possible to take into account the dependence of the gas velocity on the Prandtl number and gas temperature.

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Authors and Affiliations

  1. Lomonosov Pomor State University, Arkhangelsk, 163002, Russia

    A. P. Andreev & V. N. Popov

Authors
  1. A. P. Andreev
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  2. V. N. Popov
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Correspondence to V. N. Popov.

Additional information

Original Russian Text © A.P. Andreev, V.N. Popov, 2009, published in Zhurnal Tekhnicheskoĭ Fiziki, 2009, Vol. 79, No. 12, pp. 40–43.

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Andreev, A.P., Popov, V.N. Construction of the mass velocity profile for a rarefied molecular gas entrained by a rotating sphere taking into account thermophysical parameters of the gas. Tech. Phys. 54, 1763–1766 (2009). https://doi.org/10.1134/S106378420912007X

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  • DOI: https://doi.org/10.1134/S106378420912007X

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