Viscous Dissipation and Joule Heating Effects on MHD Combined Heat and Mass Transfer Flow Through a Porous Medium in a Rotating System

Abstract

Viscous dissipation and Joule heating effects on MHD combined heat and mass transfer flow through a porous medium in a rotating system has been studied numerically. Nacthsheiin-Swigert iteration technique is used as the main tool for the numerical approach. The studies of the flow features mentioned above are made in different sections taking different aspects of the flow that are of practical importance. These studies are mainly based on the similarity approach. The similarity solutions have been obtained for the one dimensional unsteady MHD combined heat and mass transfer flow past an infinite vertical porous plate in a rotating system taking into account the viscous dissipation and Joule heating effects. Impulsively started plate moving in its own plane is considered. Similarity equations of the corresponding momentum, energy and concentration equations are derived by introducing a time dependent length scale which in fact plays the role of a similarity parameter. The suction velocity is taken to be inversely proportional to this parameter. The momentum, energy and concentration equations are solved numerically by applying the method of Swigerl iteration technique. The above flow problem has further been considered in a steady two dimensional problem. The similarity solutions of the governing equations are obtained by employing the usual similarity technique based on large suction. The effects of the various important parameters, entering into the problems on the velocity, temperature, concentration, skin-friction, Nusselt and the Shenvood numbers are separately discussed for each problem with the help of graphs and tables.