Rarefied gas flow between two coaxial cylinders driven by temperature gradient in the case of specular-diffuse reflection

The slow longitudinal flow of a rarefied gas between two infinitely long coaxial cylinders driven by a prescribed temperature gradient is studied. The problem is formulated for a linearized kinetic model with specular-diffuse boundary conditions. The reduced heat and mass fluxes through the channel are obtained as functions of the tangential momentum accommodation coefficient and the Knudsen number for various ratios of the inner to outer radius of the cylinders. The values of these fluxes are found using Chebyshev polynomials. The resulting expressions are analyzed in the free-molecular and hydrodynamic limits.