Natural convection in a wavy porous cavity subjected to a partial heat source

摘要

This numerical study of natural convection represents cooling of a heat source embedded in a wavy cavity. The right side wall, which is wavy, kept at a fixed ambient temperature where as partial heat source with constant heat flux is placed at the right wall and other walls are kept adiabatic. The non-dimensional governing equations which describe the flow pattern are solved by finite difference method of second order accurate. The pertinent parameters under consideration are non-dimensional length (0.25 ≤ ε ≤ 1.0) of heater placed at the middle of the left vertical wall, effective Rayleigh-Darcy number (10 ≤Ra≤ 10~3) and the waviness of the right vertical wall, which is controlled by the amplitude (0.05 ≤ α ≤ 0.25) of the wave and number of undulation (1 ≤ N ≤ 5) per unit length. From the obtained results, it is observed that convection inside the wavy cavity filled with fluid structured porous media depend on ε only at high Ra also strong convection inside the cavity is observed when surface roughness gets increases.