The problem of unsteady, laminar double-diffusive convective ow of a binary gas mixture in a rectangular enclosure lled with a uniform porous medium is considered. A temperature-dependent heat source or sink is assumed to exist within the enclosure boundaries. Transverse cooperating gradients of heat and mass are applied on the two opposing vertical walls of the enclosure while the other two horizontal walls are adiabatic and impermeable to mass transfer. A numerical solution based on the nite-difference methodology is obtained. Representative results illustrating the effects of the inverse Darcy number, the heat generation or absorption coef cient, and the buoyancy ratio on the contour maps of the streamline, temperature, and concentration as well as the pro les of velocity, temperature, and concentration at the midsection of the enclosure are reported. In addition, results for the average Nusselt and Sherwood numbers are presented in tabulated form and discussed for various parametric conditions.