Numerical Investigation of Heat and Mass Transfer by Mixed Convection Flow from a Vertical Porous Plate with Induced Magnetic Field, Constant Heat and Mass Fluxes

Abstract

Combined heat and mass transfer by mixed convection flow from a vertical porous plate with induced magnetic field, constant heat and mass fluxes has been studied. Nachtsheim Swigert iteration technique is used as the main tool for the numerical approach. The above mentioned problem is studied with two different aspects of the flow. These studies are mainly based on the similarity approach. In the first case one-dimensional unsteady heat and mass transfer by mixed convection flow past an infinite vertical porous plate with induced magnetic field, constant heat and mass fluxes problem have been considered and its similarity solution have been obtained. Similarity equations of the corresponding momentum, magnetic induction, energy and concentration equations are derived by introducing a time dependent length scale which infact plays the role of a similarity parameter. The suction velocity is taken to be inversely proportional to that parameter. The dimensionless similarity equations for momentum, magnetic induction, energy and concentration equations are solved numerically by Nachtsheim Swigert iteration technique. The above problem has further been considered in two-dimension in the steady state problem taking into account the transverse magnetic field along with the induced magnetic field and constant heat and mass fluxes. The similarity equations of the above mentioned problem are obtained by employing the usual similarity technique. These are also solved numerically by Nachtsheim Swigert iteration technique. With the help of graphs and tables the effects of the various important parameters entering into each of the problems, on the velocity, induced magnetic field, current density, temperature, concentration, skin friction and current density at the plate are separately discussed.