Stokes’ first problem for Sisko fluid over a porous wall

We investigate the time-dependent flow of an incompressible Sisko fluid over a wall with suction or blowing. The flow is caused by sudden motion of the wall in its own plane. The magnetodynamic nature of the fluid is taken into account by applying a variable magnetic field. The resulting nonlinear problem is solved by invoking a symmetry approach and numerical techniques. The essential features of the embedded key parameters are described. Particularly the significance of the rheological effects is studied.