Poiseuille-couette flow and heat transfer in an inclined channel for composite porous medium

Abstract

Convective flow and heat transfer in an inclined channel bounded by two rigid plates is studied, where the lower plate is fixed and upper plate is moving with a constant velocity. One of the regions filled with clear viscous fluid and the other region filled with the porous matrix saturated with a viscous fluid different from the fluid in the first region are considered. The coupled nonlinear equations are mainly solved numerically using finite difference method. It is found that the presence of porous matrix in one of the region reduces the velocity and temperature. Both the velocity and temperature profiles enhance as the values of buoyancy parameter GP, height ratio h, Brinkman number Br, density ratio n and thermal expansion ratio b increase but reduce as the values of porous parameter , viscosity ratio and thermal conductivity ratio T increase. The Nusselt numbers at upper plate diminish as GP, h and Br increase, whereas they increase as , and T increase. The lower plate Nusselt numbers are reversely affected by the relevant parameters. The effect of and GP on shear stress profiles are drawn and discussed. © The Society of Theoretical and Applied Mechanics, R.O.C. 2012.