On the temperature-jump problem in rarefied gas dynamics : the effect of the cercignani-lampis boundary condition

Abstract

An analytical version of the discrete-ordinates method (the ADO method) is used to establish a solution to the temperature-jump problem in the rarefied gas dynamics field. Kinetic models derived from the linearized Boltzmann equation are used to formulate the problem in the one gas case and for a binary gas mixture. The gas-surface interaction is described by the Cercignani-Lampis kernel, which is written int therms of two accomodation coefficients. The solution is found to be very accurate and fast. Numerical results are presented not only for the temperature-jump coefficient but also for the density and temperature profiles. In particular, the effect of both accommodation coefficients on the temperature-jump coefficient is analyzed.