Computational hydromagnetic mixed convective heat and mass transfer through a porous medium in a non-uniformly heated vertical channel with heat sources and dissipation

In this paper we discuss the combined effect of convective Heat and mass transfer on hydromagnetic electrically conducting viscous, incompressible fluid through a porous medium in a vertical channel bounded by flat walls. A uniform magnetic filed of strength H0 is applied transverse to the bounding walls. Assuming the magnetic Reynolds number to be small, we neglect the induced magnetic filed in comparison to the applied filed. A non-uniform temperature is imposed on the walls and the concentration on these walls is taken to be constant. The viscous dissipation is taken into account in the energy equation. Assuming the slope of the boundary temperature to be small we solve the governing momentum, energy and diffusion equations by a perturbation technique. The velocity, temperature, shear stress and the rate of heat transfer have been analysed for different variations of the governing parameters. The dissipative effects on the flow, heat and mass transfer are clearly seen.