Thermophoresis of a Circular Cylinder in a Rarefied Gas
Abstract
This paper treats thermophoresis of a solid circular cylinder in a rarefied gas. The analysis is carried out on the basis of the linearized BGK equation. The simultaneous integral equations for the density, flow velocity and temperature are derived from the equation. These are solved numerically over a wide range of the Knudsen number. It is shown that the induced flow around the cylinder does not vanish at infinity but has a constant nonzero value. The cylinder experiences no force in this uniform flow. The variation of the thermophoretic velocity versus the Knudsen number is calculated for any value of the thermal conductivity of the cylinder. The distributions of the flow velocity as well as the temperature are also shown.
 Publication:

Journal of the Physical Society of Japan
 Pub Date:
 July 1988
 DOI:
 10.1143/JPSJ.57.2386
 Bibcode:
 1988JPSJ...57.2386Y
 Keywords:

 Circular Cylinders;
 Flow Equations;
 Rarefied Gas Dynamics;
 Temperature Distribution;
 Thermophoresis;
 Continuum Flow;
 Free Molecular Flow;
 Integral Equations;
 Knudsen Flow;
 Transition Flow;
 Fluid Mechanics and Heat Transfer