The main objective of this paper is to study the flow of a viscous incompressible and electrically conducting fluid through a porous medium whose effective viscosity is larger than the viscosity of the fluid and bounded by two long vertical parallel plates in the presence of a uniform magnetic field applied transversely to the plates with heat source. The governing partial differential equations are solved by using perturbation technique. Such material has a Darcy number and viscosity ration parameter or order 10, such analysis for a horizontal channel flow through high permeability porous medium taking into an account.