Effect of Variable Heat Source on the Onset of Darcy‐Brinkman Convection in an Anisotropic Porous Medium

Abstract

In this study, the impact of changeable internal heat source function on the onset of convective motion in an anisotropic porous matrix is explored, where the flow is controlled by the Brinkman extension of Darcy’s law. We considered three cases of variable internal heat source functions: (a) linear (b) parabolic and (c) cubic. The linear stability analyses and the perturbation procedure are carried out in order to test the system's stability characteristics. Results indicate that the impact of the increasing values of heat source parameter and mechanical anisotropic parameter will enhance the convection of a porous layer system while the increasing of thermal anisotropic parameter and amount of Darcy number will improve to stabilize the system. The system is also found to be more stable for cubic variation of the heat source function and less stable in the case of linear type variation.