Heat Conduction between Concentric Cylinders in the Slip Regime

An analysis is made of heat conduction of a rarefied gas in the slip regime confined between concentric cylinders maintained at a small temperature difference. From the linearized Krook equation, two integral equations in the perturbed density and temperature are obtained, which are solved separately in the continuum region away from the walls and in the Knudsen layers adjacent to the walls. The Navier-Stokes continuum solution involves some unspecified constants which are determined by matching the solution to the first-order Knudsen-layer solution. The density and temperature jumps at the walls and the correction to heat flux are evaluated from the Knudsen-layer solution.