Mixed convection of a conducting third-grade fluid past an oscillating porous plate

We study heat transfer in the incompressible flow of a conducting third-grade fluid subject to a uniform magnetic field past an oscillating porous vertical plate.We obtain the analytical form of the boundary-layer velocity profile, the temperature profile, and the skin friction coefficient for small deviations from the Newtonian rheology. We examine the dependence of these quantities on the Prandtl number, the mixed convection parameter, the Hartmann number, and the suction parameter.