Hydro-Magnetic Flow and Heat Transfer in an Inclined Composite Porous Medium Bounded by Parallel Plates

Abstract

This paper deals with non-Darcian convective hydromagnetic flow in an inclined composite porous medium. It is
assumed that the flow is steady, laminar fully developed and that fluid properties are constant. The flow in both phases is
assumed to be driven by a common constant pressure gradient
and temperature gradient
W1 W2 T  T T where TW1
and TW2 are the temperatures of upper and lower plates. It is also assumed that at any given instant, the temperatures of
fluid and the solid are the same. The viscous and Darcy dissipation terms and included in the energy equation. The
governing equation is coupled and non-linear because of inclusion of dissipation terms and buoyancy force. The
equations are solved using perturbation method. The effects of various parameters such as Hartmann number, porous
parameter, inclination angle and Grashoff number on the flow quantities are discussed.