The aim of the paper is to study non Newtonian fluid flow of second order flowing through porous medium
bounded by an impermeable infinite plate rotating with acceleration. We have studied all the special cases regarding the
effect of permeability of the medium and the micro rotation of the fluid above the infinite plate under the influence of
magnetic field. Various situations of the flow with Newtonian case are derived as special cases. Several investigations are
made at length. The effect of porous medium increase the flow of the fluid with a decrease in permeability K.
The presence of magnetic parameter decrease the flow pattern as its values increase. The effects of magnetic parameter
and permeability will decrease the boundary layer and the results of steady non Newtonian Fluid flow will also be
deduced as k → 0.