Mahmoud Mamou
Aerodynamics Laboratory, NRC Aerospace, Ottawa, Ontario K1AOR6, Canada
Patrick Vasseur
Ecole Polytechnique, Université de Montréal, C.P. 6079, Succ. "Centre ville", Montréal,
Québec H3C 3A7, Canada
E. Bilgen
Ecole Polytechnique, P.O. Box 6079, Station "A", Montreal, Canada
Dominique Gobin
University Paris-Saclay
The Darcy model with Bousinesq approximation is used to study double-diffusive natural convection in a horizontal porous layer subjected to vertical gradients of heat and solute. Results are presented for 0 ≤ RT ≤ 100, -1 ≤ N ≤ 50,10-2 ≤ Le ≤ 102 and 5 ≤ A ≤ 10, where RT, N, Le and A correspond to the thermal Rayleigh number, buoyancy ratio, Lewis number and aspect ratio of the enclosure, respectively. An approximate solution is obtained by assuming parallel flow in the core region of the cavity and a numerical solution by solving the complete governing equations. The critical Rayleigh number for the onset of thermoso-lutal convection in infinite porous layer is predicted. The results for heat driven flows (N → 0) and solute driven flow (N → ∞) emerge from the present analysis as limiting cases. The agreement between the analytical and numerical solution is shown to be satisfactory.