Analytic solution of the problem of rotation of a sphere in a rarefied molecular gas with allowance for the accommodation coefficients

In the case of the slip flow regime expressions both for the mass velocity of a rarefied molecular gas entrained by a rotating sphere and for the moment of the friction forces exerted on the sphere by the gas are obtained with allowance for the second-order correction with respect to the Knudsen number. It is demonstrated that these quantities depend on the Prandtl number and the accommodation coefficients of the tangential impulse of the gas molecules and its flux toward the sphere surface. The results are compared with analogous results obtained in the case of diffuse reflection of the gas molecules by the sphere surface.