Effects of Chemical Reaction, Heat and Mass Transfer and Radiation on MHD Flow along a Vertical Porous Wall in the Present of Induced Magnetic Field

An analysis is carried out analytically to study steady heat and mass transfer by mixed convection flow of a viscous, incompressible, electrically-conducting and radiating fluid which is an optically thin gray gas, along a vertical porous plate under the action of transverse magnetic field taking into account the induced magnetic field with viscous dissipation of energy. The presence of a homogeneous chemical reaction of first order is also taken into account. The porous plate is subjected to a constant suction velocity as well as a uniform free stream velocity. The boundary layer equations have been transformed into dimensionless coupled non-linear ordinary differential equations by using appropriate transformations. The similarity solutions of the transformed dimensionless equations for the flow field, induced magnetic field, current density and heat and mass transfer characteristics are obtained by series solution technique and their numerical results are presented in the form of graphs. It is found that the velocity is reduced considerably with a rise in the conduction-radiation parameter (R) whereas the temperature is found to be markedly boosted with an increase in the conduction-radiation or the chemical reaction parameter (K). An increase in the magnetic body parameter (M) or chemical reaction rate (K) is found to escalate the induced magnetic field whereas an increase in the conductionradiation parameter (R) or the magnetic Prandtl number (Pm) is shown to exert the opposite effect. Similarly, the current density (J ) and the shear stress (? ) are both considerably increased with an increase in the magnetic Prandtl number. Possible applications of the present study include laminar magneto-aerodynamics, materials processing and MHD propulsion thermo-fluid dynamics