Rarefied gas flow near a rotating cylinder

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.