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.