Flow and Heat Transfer around a Heated Circular Cylinder in a Rarefied Gas

Abstract

This paper deals with the flow of rarefied gas past a circular cylinder at low Mach numbers and the heat transfer from the cylinder on the basis of the B–G–K equation. The solution is obtained in the form: the Oseen-Stokes solutions preparing slips at the cylinder surface and the correction terms in the kinetic region. The simultaneous integral equations for the velocity, density and temperature are derived. Numerical calculations for the thermal field were carried out over a wide range of the Kundsen number covering the slip to the nearly-free molecular flow. The variation of the Nusselt number with the Knudsen number is obtained and is favorably compared with a previous formula valid for small Knudsen numbers.