Heat and mass transfer in Hartmann flow with Soret effect in presence of a constant heat source

An exact solution of the laminar flow of an incompressible, viscous, electrically conducting fluid between two infinite, parallel, horizontal isothermal stationary walls in the presence of a transverse magnetic field and constant heat source, taking into account the induced magnetic field, induced electric field, Soret effect and dissipating heat is presented. The expressions for the non-dimensional velocity field, temperature field, concentration field, induced magnetic field, induced electric field, skin frictions at the walls and the co-efficients of the rates of heat and mass transfer at the walls in terms of the Nusselt and Sherwood numbers are obtained. The effects of the different parameters involved in the problem, namely Hartmann number, Prandtl number, Eckert number, heat source parameter, Soret number and pressure gradient on the above mentioned fields are discussed through graphs and tables. It is seen that the magnetic field has a significant effect on the flow and transport characteristics. The results obtained in this paper are consistent with the physical reality of the flow problem