Heat and Mass Transfer in MHD Poiseuille Flow with Porous Walls

An exact solution of the problem of a steady MHD Poiseuille flow with heat and mass transfer in the presence of a transverse magnetic field has been obtained with consideration for the induced magnetic field and thermal diffusion. The walls are assumed to be isothermal, porous, and subjected to suction/injection at a constant velocity. The effects of the Hartmann number and the magnetic Reynolds number on the velocity, temperature, and concentration fields, as well as on the volumetric and magnetic fluxes per unit width across the normal section of the channel and on the current density are studied. The present analysis includes also the effect of the Soret number on the transport characteristics. The novelty of the analysis is that the viscous and magnetic Reynolds numbers are unrestricted.