EXPLORATION OF SORET AND DUFOUR EFFECTS ON MIXED CONVECTION COUPLE STRESS FLUID FLOW THROUGH AN UPSTANDING PASSAGE

The motivation of the current paper is to investigate the laminar flow of electrically conducting incompressible mixed convective couple stress fluid, saturated with a porous medium through an upstanding passage. Soret, Dufour, Hall current, and Joule heating effects with the presence of radiation and chemical reaction are considered in recent work. Similarity transformation is applied to change the equations into ordinary differential equations to be resolved by optimal homotopy analysis method (OHAM). The influences of numerous dimensionless parameters on profiles are examined and publicized through graphs. The range of the variable parameters considered in the present analysis is as follows: Hartman number (0.5 <= Ha <= 3.5), Hall parameter (1 <= beta h <= 10), porosity influence (0.1 <= epsilon* <= 0.8), Darcy parameter (0.3 <= Da <= 4), Joule heating parameter (0.05 <= J <= 15), Schmidt number (0.22 <= Sc <= 0.5), Soret number (0.1 <= Sr <= 0.8), chemical reaction parameter (0.1 <= K <= 9), couple stress parameter (0.5 <= S <= 3), radiation parameter (0.5 <= Rd <= 2), Dufour number (0.1 <= Df <= 1.5), while suction/injection parameter (R = 2), Reynolds number (Re = 2), mixed convection parameter (lambda = 5), buoyancy ratio (B = 1), constant pressure gradient (A = 0.5), Prandtl number (Pr = 0.71), and Brinkman number (Br = 0.2) are considered constant. It is visualized that the increasing values of Hartman number correspond to increment in the cross-velocity and decrement in the x-direction velocity. Also, the velocity and temperature profiles are reduced as the value of the couple stress parameter increases. Concentration value is decreased when Dufour number increases as well as when the chemical reaction parameter increases.