Presented herein are the studies of the effect of applied magnetic field on two region flows: one a clear fluid flowing in an infinite circular region and in porous region surrounding the circular region. Two cases have been considered - the porous region is bounded and unbounded. Analysis confirms the positive effects of reducing the velocities in both regions. The effect of slip parameter is also to decrease the velocities in both regions at fixed values of applied magnetic field identified by the parameter Mo. The effect of increasing values of parameter b is to decrease the velocity in clear fluid whereas the results are reversed in porous region. In the limiting case i.e. in absence the magnetic field, the results agree with Srivastava et.al.⁹ in the first case only. For other results the particular cases are not available in literature.