Transient heat conduction in binary gaseous mixtures

The paper presents solutions of the coupled energy and mass transfer equations for stationary binary gaseous mixtures subjected to transient heating. Both one-dimen-sional and axisymmetric arrangements are treated. In the latter case, solutions are obtained for an infinite line source of heat and for an infinite circular cylinder of finite radius, both surrounded by a stationary gaseous medium of infinite extent. The solutions are valid for situations where the temperature rise in the vicinity of the heat source is sufficiently small to permit the linearization of the governing parabolic differential equations. The asymptotic form of the solution with respect to time and in the immediate vicinity of the heat source is also given. It is shown that, despite the presence of thermal diffusion, the asymptotic temperature rise for a mixture in an axisymmetric geometrical arrangement retains the same formal appearance as that for a single gas.