Temperature field induced around a sphere in a uniform flow of a rarefied gas

The temperature variation induced around a sphere with a uniform temperature in a slow uniform flow of a rarefied gas with the same temperature as the sphere is analyzed on the basis of the linearized Boltzmann–Krook–Welander equation with diffuse or specular reflection as the boundary condition. The analytic expressions of the temperature field are obtained for small and large Knudsen numbers.