Flow and heat transfer in an inclined channel containing fluid layer sandwiched between two porous layers

Abstract

The fully developed flow and heat transfer in an inclined channel consisting of a fluid layer sandwiched between two porous matrix layers is analyzed. The flow in the porous medium is modeled using the Brinkman equation. The viscous and Darcy dissipation terms are included in the energy equation. The transport properties of the fluids in all three regions are assumed to be constant. The continuity conditions for the velocity, temperature, shear stress, and heat flux at the interfaces between the porous and fluid layers are assumed. The governing equations, which are coupled and nonlinear, are solved using the regular perturbation method. The influence of the physical parameters governing the flow, such as the porous parameter, Grashof number, viscosity ratio, conductivity ratio, and inclination angle on velocity and temperature fields, are evaluated and depicted graphically. Copyright © 2005 Begell House, Inc.