Free convective mhd flow of a visco-elastic fluid past a vertical porous plate through a porous medium with constant suction and heat source

The hydromagnetic free convective flow of a visco-elastic electrically conducting fluid past a vertical porous plate through a porous medium with constant suction and heat source in presence of transverse magnetic field has been studied. The induced magnetic field and Joulean heat dissipation are neglected in this problem. Also, Boussinesq approximation has been used to find the governing equations of the flow field in presence of energy dissipation. The governing equations are solved by using multi parameter-perturbation technique. The analytical expressions for the velocity, temperature fields shearing stress, the rate of heat transfer at the plates in terms of Nusselt number have been obtained. The effects of visco-elastic parameter, on the velocity, Nusselt number, and shearing stress have been illustrated graphically, in combination with other flow parameters involved in the solution. The problem has some relevance in the geophysical and astrophysical studies