Numerical Investigation of Convective Heat and Mass Transfer Flow along a Vertical Porous Plate with Soret and Dufour Effects in the Presence of Induced Magnetic Field

Abstract

In this study the thermal-diffusion (Soret) and diffusion-thermo (Dufour) effects on combined heat and mass transfer mixed convection flow of viscous incompressible MHD electrically conducting fluid along a vertical porous surface have been considered under the effects of induced magnetic fields. An implicit Finite Difference numerical technique is adopted to obtain the solutions regarding the velocity, temperature, mass concentration and induced magnetic field and are presented for different selected values of the established dimensionless parameters. The similarity equations of the above mentioned problem are obtained by employing the usual similarity technique and Bousinesq approximation. Then the transformed set of partial differential equations has been solved numerically using the implicit finite difference numerical method. Numerical solutions are obtained for the velocity and temperature fields as well as the concentration distribution and induced magnetic field for different values of the physical parameters entering into the problem. The effects of these various involved parameters on the velocity and temperature fields, the concentration distribution and induced magnetic field have been investigated. Finally, the obtained results involving the effects of these physical parameters on the flow phenomena have been discussed with the help of graphs and tables. The numerical results have shown that the above mentioned effects have to be taken into consideration in the flow fields and in the heat and mass transfer processes.