Heat Transfer Aspects on Rotating MHD Two-phase Convective Flow through an Inclined Channel in the Presence of Electric Field

Abstract

Steady, laminar, incompressible and fully developed fluid flow of two immiscible electrically conducting fluids between two infinite inclined parallel plates has been studied when the two plates are maintained at different constant temperatures T_w1 and T_w2. A constant magnetic field B0 is applied transverse to the plates and a constant electric field E0 is applied across the channel. The whole system is rotated at an angular velocity about an axis perpendicular to the channel plates. The transport properties of the two fluids are taken to be constant. Approximate solutions for temperature, primary and secondary velocity distributions are obtained using regular perturbation method because the resulting equations are coupled and non-linear. It is observed that in the short circuit case (E = 0), as rotation increases both the primary velocity and temperature distribution decrease where as secondary velocity oscillates. It is also observed that for the open circuit case (E=±1) as the rotation increases the secondary velocity becomes oscillatory. In case of E=-1, the increasing rotation tends to accelerate the primary velocity, but in case of positive E, it accelerates the primary velocity in the opposite direction. For the open circuit case (E = ±1), as the rotation increases the temperature decreases for small values of rotation and increases for large rotation.