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The aim of this paper is to investigate the velocity and thermal slip effects   in MHD flow and heat transfer of two-phase viscous fluid. It is assumed that   both the phases have different densities, viscosities and electrical   conductivities. The fully developed flow governed by a constant pressure   gradient is passing through an inclined channel having inclination f with   horizontal axis. The electrical conductivity in phase I is assumed to be zero   so that the constant applied magnetic field of strength B0 in the transverse   direction only effect the fluid in phase II. The method of successive   approximation is used to develop the analytic solution of order 1 for the   developed dimensionless coupled ordinary differential equations. The main   focus is to discuss the influence of velocity and thermal slip parameters and   Hartmann number on the velocity and temperature profiles

MHD two-phase fluid flow and heat transfer with partial slip in an inclined channel