Modified Patterson temperature jump condition considering viscous heat generation

Abstract

Recently, new type of the Smoluchowski temperature jump condition has been proposed by considering viscous heat generation in rarefied gas flow simulations, and improved prediction of the surface gas temperature in comparing with DSMC data. Two forms of the Patterson jump condition have been revisited for rarefied gas flow simulations in the literature. In this paper, the modified Patterson temperature jump condition is proposed by considering viscous heat generation. We numerically investigate the effect of the slip velocity, the wall temperature and viscous heat generation on the surface gas temperature for external high-speed rarefied gas flow simulations by using various forms of the Patterson jump condition. Three configurations such as the sharp leading-edge flat plate, the sharp 25–55-deg biconic, and micro-airfoil NACA0012 are selected for simulations with Mach number from 2 to 15.6, and Knudsen number ranging from 0.04 to 0.26. The simulation results obtained show that the modified Patterson jump condition gives good agreement with the DSMC data, and predict temperatures better than those of new type of the Smoluchowski jump condition for all cases considered.