Thermorheological effect on thermal nonequilibrium porous convection with heat generation

Thermorheological effect on the sufficient conditions for the onset of natural convection in a fluid saturated porous medium with uniformly distributed internal heat sources is studied. The flow through the medium is governed by Brinkman’s equation. The constituent phases of the medium are assumed lack thermal equilibrium. A nonlinear temperature dependent viscosity is considered. The resulting eigenvalue problem is solved using the Galerkin weighted residual method. Results indicate that the temperature dependence of viscosity and the presence of heat sources produce effects that are favourable for convection to set in. A possible application of this study in a practical situation is highlighted.