MHD oblique stagnation-point flow towards a stretching/shrinking surface

The steady MHD oblique stagnation-point flow towards a stretching/shrinking surface in a viscous and electrically conducting fluid and in the presence of a uniform magnetic field is studied. The external magnetic field is parallel to the dividing streamline of the oblique stagnation-pint flow. The governing Navier-Stokes equations are reduced to a system of two ordinary differential equations. Solutions of these equations are evaluated numerically for various values of the governing parameters, namely the magnetic parameter M, the stretching/shrinking parameter and the two constants and arising in the model. It is found that dual (upper and lower branch) solutions exist and that there is a critical value of , dependent on M, with solutions only in with the lower solution branch terminating as . It is shown that the values of increase as M is increased thus extending the range of similarity solutions in the opposing flow regime. It is also found that the stagnation line is displaced due to the effect of MHD with a region of reversed flow being observed near to the wall for a shrinking surface.