Rotating MHD Flow: An Exact Solution by Hodograph Transformation

Abstract

The motion of a homogenous, rotating, incompressible, second grade fluid with finite electrical conductivity through porous media in the presence of transverse magnetic field has been considered. For steady plane transverse flow the equations of motion have been recast in hodograph plane. Further the flow equations have been obtained in terms of Legendre transform function of the stream function. Lastly some examples have been taken to illustrate the developed theory and their streamlines are also plotted.