Knudsen Corrections for the Senftleben-Beenakker Effect of Viscosity

Abstract

Abstract A rarefied polyatomic gas between infinite parallel plates which is subject to a pressure gradient and to a magnetic field is considered. The tensor polarization and the Kagan polarization account for the influence of the field on the gas flow. In the slip flow regime differential equations and boundary conditions for the velocity and the tensor polarization are solved. The dependence of the solution on the mean pressure and on the magnetic field is discussed. Knudsen corrections for the Senftleben-Beenakker effect of viscosity are derived. By comparison with experimental data of Hulsman et al. a set of surface parameters is obtained. They characterize mechanical slip, thermomagnetic slip, and the influence of gas-wall collisions on the tensor polarization.