Effect of local thermal non-equilibrium on the onset of convection in an anisotropic bidispersive porous layer

Abstract

The onset of thermal convection of a fluid saturated anisotropic bidisperse porous medium under the condition of local thermal non-equilibrium is investigated. We have studied the case of flow in the macropores and micropores when the porous materials are of Darcy type. The temperatures in the macropores and micropores are allowed to be different. We concentrate our attention on the state of a permeability tensor is transversely isotropic with the isotropy axis in the vertical direction of gravity and the permeability ratios of vertical to horizontal are different in the macropores and micropores . The effect of various parameters on the stationary convection is discussed. In particular the effects of macro permeabilities, the micro permeabilities, the measure between the permeability in the macro phase and micro phase and various interaction parameters on the stationary convection are studied. The numerical results are presented for free-free boundary conditions.