Effects of Radiation and Porosity on the MHD Flow near a Vertical Plate that Applies Shear Stress to the Fluid

Magnetohydrodynamic free convection flow of an incompressible viscous fluid past an infinite vertical plate that applies a shear stress f(t) to the fluid is studied. General solutions for the unsteady free convection flow of an incompressible viscous fluid are determined when thermal radiation and porous effects are taken into contemplation. Exact dimensionless solutions of momentum and energy, under Boussinesq approximation, are obtained using Laplace transforms. They satisfy all imposed initial and boundary conditions and reduce to known solutions from the literature as special cases. The velocity profile is presented as a sum of convective and mechanical parts. The results for embedded parameters are shown graphically.