Stokes's first problem for a rotating sisko fluid with porous space

In this paper the unsteady flow of a Sisko fluid induced by a suddenly moved infinitely long plate is investigated in a rotating frame. The fluid occupying the porous half-space is electrically conducting in the presence of a time-varying magnetic field. Conservation laws of mass and momentum are utilized in the derivation of the differential equation. The modified Darcy's law is employed in the problem development. The governing nonlinear problem is solved numerically. The effects of various parameters of interest on the velocity profiles are shown explicitly.