Mathematical simulation of transfer processes in an elliptical channel in a free molecular regime

Abstract

In the framework of a free molecular regime, we consider the problem of heat and mass transfer in a long channel of constant elliptical cross-section. The diffuse reflection model is used as the boundary condition. The distributions over the channel cross-section are obtained for the mass velocity of a gas and the heat flux vector. Some analytical method is proposed for finding the heat and mass fluxes through the channel cross-section.