Magneto-hydro-dynamic unsteady second-grade fluid flow for Stokes' problem

The present note discusses the flow of an unsteady second-grade fluid oscillating on a plate. The magnetic field is applied perpendicular to the flow field in two cases (i) when it is fixed to the fluid, and (ii) when it is fixed to the boundary. The applied magnetic field is found to slow down the flow for the case when it is fixed to the fluid whereas this effect is reversed in the case when it is fixed to the plate. The physical interpretation of the physical parameters is presented graphically and is compared with the already known results.