In this paper the problem of a two-dimensional steady viscous, incompressible two-phase flow of a particulate suspension
in an asymmetric diverging channel with a heat source is considered. The differential equations governing the flow are
non-dimentionalized by employing suitable transformations and resulting equations are solved numerically, using Runge-Kutta
Shooting technique. The influence of Magnetic parameter, Reynolds number, Cross flow Reynolds number, Grash of number,
heat source parameter, Prandtl number are exhibited graphically and velocity and temperature profiles for both fluid as well as
particle phases discussed. Computational values for skin friction coefficient, Nusselt number are obtained and presented in tabular
form and discussed. This study plays an important role in many engineering and biological fields such as cooling of nuclear
reactors, chemical and food industries, blood flow through capillaries and arteries.