MHD flow and heat transfer due to ecentric rotations of a porous disc and a fluid at infinity

An exact solution of the steady 3-dimensional Navier-Stokes equations and the energy equation is derived for the case of flow due to non-coaxilly rotations of a porous disc and a fluid at infinity in the presence of a uniform transverse magnetic field. It is observed that asymptotic solution exists for the velocity profile both in the case of suction and blowing. Further, it is seen that the velocity boundary layer shows a thickness of 0 (1/) in case of suction and it is of 0 (1/γ) in the case of blowing. While, the thermal boundary layer exhibits a double-deck structure of 0 (1/SP_r) and 0 (1/) in case SP_r − ≠ 0 and single-deck structure of 0 (1/) in case SP_r = = 0. Here a, γ depends on suction S, magnetic parameter N and P_r the Prandtl number.