Effect of aspect ratio on natural convection in a wavy porous cavity submitted to a partial heat source

In this numerical study effect of aspect ratio on natural convection in a wavy porous cavity is investigated. The cavity is placed vertically, and its right wavy wall is kept at fixed low temperature, whereas a partial heat source is embedded at the left vertical wall keeping top and bottom walls as adiabatic. The non-dimensional governing equations describing Darcy flow are solved by the finite difference method. The parameters involving the investigation are aspect ratio (Ar=0.2, 0.5, 2.0, 5.0), Rayleigh-Darcy number (Ra=10, 102, 103), dimensionless length of heat source (ε=0.25, 0.50, 1.0) along with number of undulations (N=1, 3, 5) per unit length and dimensionless amplitude of the wave (a=0.05, 0.15, 0.25) which controls waviness of the wall. The increment in aspect ratio increases the cooling efficiency of the heat source.