Rarefied gas flow between two cylinders caused by the evaporation and condensation on their surfaces

Abstract

The rarefied gas flow between two coaxial cylinders caused by the evaporation and condensation on their surfaces is investigated on the basis of the kinetic and hydrodynamical equations. It is assumed that the cylinders may rotate with equal angular velocity. The equilibrium is perturbed by the small density difference of evaporated particles on the inner cylinder. The hydrodynamical equation has been solved analytically and the kinetic equation has been solved by the discrete velocity method modified for the discontinuous distribution function. The fields of the density, the velocity and the temperature are presented for a wide range of the Knudsen number. An analysis of the influence of the rotation of the cylinders on the flow field is given.