Geodesic
Rarefied gas flow near a~rotating cylinder
Sibirskij žurnal industrialʹnoj matematiki, Tome 13 (2010) no. 2, pp. 19-29.

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In the isothermic approximation with the second order correction relative to the Knudsen number, we construct an analytic solution to the problem of a circular cylinder rotating in a rarefied gas. As the basic equations we take a generalization of the BGK model of kinetic Boltzmann equations to the case of rotational degrees of freedom of gas molecules, and as a microscopic boundary value on the surface of the cylinder we takee an accommodation two-moment boundary value. We graph the mass velocity profile for the rarefied gas carried along by the rotating cylinder and make a comparison with the analogous results obtained using the diffuse reflection model, as well as the results of classical hydrodynamics.
Keywords: kinetic Boltzmann equation, analytic solutions to model kinetic equations, models of boundary values, accommodation coefficients. 
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A. P. Andreev; A. V. Latyshev; V. N. Popov; A. A. Yushkanov. Rarefied gas flow near a~rotating cylinder. Sibirskij žurnal industrialʹnoj matematiki, Tome 13 (2010) no. 2, pp. 19-29. http://geodesic.mathdoc.fr/item/SJIM_2010_13_2_a2/

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