Thermal instability in Brinkman porous media with Cattaneo–Christov heat flux

We consider the thermal instability in a Brinkman porous media incorporating fluid inertia. Both free–free and fixed–fixed boundaries are investigated. We have incorporated the Cattaneo–Christov theory in the constitutive equation for heat flux. For fixed surfaces, the results are generated by using the D2 Chebyshev tau method. The results reveals that employing the Cattaneo–Christov theory has a pronounced effects in determining the convection instability threshold.