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. 
@article{SJIM_2010_13_2_a2,
     author = {A. P. Andreev and A. V. Latyshev and V. N. Popov and A. A. Yushkanov},
     title = {Rarefied gas flow near a~rotating cylinder},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {19--29},
     publisher = {mathdoc},
     volume = {13},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2010_13_2_a2/}
}
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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/