Magnetohydrodynamic natural convection heat transfer from radiate vertical porous surfaces

Magnetohydrodynamic natural convection heat transfer from radiate vertical surfaces with fluid suction or injection is considered. The nonsimilarity parameter is found to be the conductive fluid injection or suction along the streamwise coordinate xi=V{4x/v(2)gbeta(T-w-T-infinity)}(1/4). Three dimensionless parameters had been found to describe the problem: the magnetic influence number N = sigmaB(2) (y)upsilon/rhoV(2), the radiation-conduction parameter R-d=kalpha(R)/4aT(infinity)(3), and the Gebhart number Ge-x=gbetax/cp to represent the effect of the viscous dissipation. It is found that increasing the magnetic field strength causes the velocity and the heat transfer rates inside the boundary layer to decrease. Its apparent that increasing the radiation-conduction parameter decreases the velocity and enhances the heat transfer rates. The Gebhart number, Le, the viscous dissipation had no effect on the present problem.