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ISSN Imprimer: 1940-2503
ISSN En ligne: 1940-2554
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STRATIFICATION EFFECT ON FREE CONVECTIVE DARCY FOR CHHEIMER BOUNDARY LAYER FLOW UNDER MULTIPLE INTERACTING FORCES
RÉSUMÉ
A mathematical model has been developed on heat and mass transfer processes in a two-dimensional magnetohydrodynamic (MHD) free convection boundary layer flow along a vertical semi-infinite flat surface immersed in a thermal and mass stratified non-Darcy porous medium under the influence of the Soret and Dufour effect. A Darcy–Forchheimer mathematical model governing the nonlinear partial differential equations are transformed into boundary layer equations by using a similarity transformation. The resulting boundary layer equations together with boundary conditions are solved numerically by an implicit finite difference scheme following the Keller box approach. The obtained results are compared to literature and found to be good in agreement and further the numerical simulations that have been done for various values of the parameters involved in the problem, such as Grashof number (Gr*), magnetic parameter (Mg), buoyancy ratio (B), Lewis number (Le), Soret (Sr) and Dufour (Df) numbers, presence of thermal (ST ) and mass (SC) stratification. Local and average Nusselt (Nu) number and Sherwood (Sh) number plots are presented graphically in all cases.