The temperature-jump problem for a mixture of two gases

Abstract

An analytical variation of the discrete-ordinates method is used to establish a concise and accurate solution to the temperature-jump problem for a binary gas mixture. The analysis is based on Boltzmann equations of the BGK type subject to Maxwell's boundary conditions with arbitrary accommodation coefficients. The results include the complete temperature and density fields for specified mass, density and collision frequency ratios. The numerical results are of benchmark quality, and the required computational time is only a few seconds on a typical PC.