Mixed Convection Boundary Layer Flow over an Inclined Plate Embedded in a Tridisperse Porous Medium
摘要
This work studies the mixed convection boundary layer flow over an inclined plate embedded in a tridisperse porous medium with constant wall temperature. The three-velocity three-temperature formulation is used to derive the governing partial differential equations. The order-of-magnitude analysis is then used to derive the boundary layer equations in terms of the Darcy-Rayleigh number. The cubic spline collocation method is then used to solve the boundary layer partial differential equations. The effects of mixed convection parameters, two permeability ratios, two inter-phase heat transfer parameters, and three modified thermal conductivity ratios on the heat transfer of the tridisperse porous medium are studied. Results show that increasing the mixed-convection parameter, three modified thermal conductivity ratios or the two permeability ratios tends to increase the mixed convection heat transfer rate of the inclined plate in a tridisperse porous medium. Moreover, the thermal non-equilibrium effects in tridisperse porous media become significant as the two inter-phase heat transfer parameters of the mixed convection about the inclined plate are small.