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Analytical solution of the problem of sphere rotation in a rarefied molecular gas

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Abstract

A problem of sphere rotation in a rarefied molecular gas is solved in an isothermal approximation. The particle velocity profile in the rarefied molecular gas entrained by the rotating sphere is obtained with a second-order correction in terms of the Knudsen number. For a rarefied molecular gas, in contrast to a monatomic gas, the particle velocity is demonstrated to depend substantially on the Prandtl number if rotational degrees of freedom of molecules are taken into account.

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Correspondence to V. N. Popov.

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 51, No. 6, pp. 42–48, November–December, 2010

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Andreev, A.P., Latyshev, A.V., Popov, V.N. et al. Analytical solution of the problem of sphere rotation in a rarefied molecular gas. J Appl Mech Tech Phy 51, 809–814 (2010). https://doi.org/10.1007/s10808-010-0101-3

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  • DOI: https://doi.org/10.1007/s10808-010-0101-3

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