Thermal Stress Slip Flow Induced in Rarefied Gas between Noncoaxial Circular Cylinders

Abstract

The behavior of a slightly rarefied gas between noncoaxial circular cylinders with different temperatures is investigated by the generalized slip flow theory, which is derived systematically from the Boltzmann equation. When the temperature of the inner cylinder is higher than that of the outer, a flow is induced in the gas toward the narrower region along the inner cylinder and toward the wider along the outer, and the inner cylinder is subject to a force toward the axis of the outer cylinder. In the opposite case, the flow and the force are reversed. The corresponding results for the system where a cylinder lies in a semi-infinite expanse of the gas bounded by an infinite plane wall are derived as the limiting case where the radius of the outer cylinder tends to infinity.