Higher order moment equations for rarefied gas mixtures

Abstract

The fully nonlinear Grad'sN×26-moment (N×G26) equations for a mixture ofNmonatomic-inert-ideal gases made up of Maxwell molecules are derived. The boundary conditions for these equations are derived by using Maxwell's accommodation model for each component in the mixture. The linear stability analysis is performed to show that the 2×G26 equations for a binary gas mixture of Maxwell molecules are linearly stable. The derived equations are used to study the heat flux problem for binary gas mixtures confined between parallel plates having different temperatures.