EFFECTS OF CROSS DIFFUSION AND RADIATION ON MAGNETO MIXED CONVECTIVE STAGNATION FLOW FROM A VERTICAL SURFACE IN POROUS MEDIA WITH GYROTACTIC MICROORGANISMS: SIMILARITY AND NUMERICAL ANALYSIS

This paper investigates the effects of Soret and Dufour in a steady mixed convective boundary layer flow over a vertical surface in a magnetic field embedded in a porous medium with gyrotactic microorganisms. The governing momentum, energy, concentration, and microorganism equations are transformed into a set of coupled differential equations. These equations are solved by the Maple 14.0 algorithm. The numerical results for different nondimensional numbers (Soret number, Sr; Dufour number, Df; Lewis number, Le; bioconvection Lewis number, Lb; bioconvection Peclet number, Pe; Hartmann number, Ha(2); thermal radiation parameter, R-d; and buoyancy numbers, N-1, N-2) are presented graphically for both assisting and opposing flow. Comparisons with available literature show great agreement among results. The effects of physical parameters on Nusselt number, Sherwood number, and density of motile microorganisms are also presented. It is observed that diffusion-thermo (Dufour) and thermal-diffusion (Soret) effects on temperature, concentration, and microorganism profile distributions are quite opposite.