Flow of Dilute Gas Due to Sinusoidal Distribution of Wall Temperature

Abstract

Creeping flow of dilute gas over a plane wall with sinusoidal temperature distribution is investigated. The treatment is based on the fluid-dynamic equation of Stokes together with the slip and temperature-jump conditions at the wall. It is found that the effect of thermal creep sets up a series of stationary eddies near the wall which have a close resemblance to those in ordinary thermal convection due to buoyancy. A kinetic theory approach to the Kundsen layer accompanied is also referred to.