Onset of Double Diffusive Reaction-Convection in an Anisotropic Porous Layer With Internal Heat Source

Abstract

The effect of internal heat source on the onset of double diffusive reaction-convection in an anisotropic porous layer subjected to chemical equilibrium on the boundaries is investigated analytically using linear stability analyses. The linear analysis is based on the usual normal mode method. The Darcy model is employed for the momentum equation. The effect of internal Rayleigh number, Damkohler number, mechanical anisotropy parameter and thermal anisotropy parameter on the stationary and oscillatory convection is shown graphically. It is found that the effect of internal Rayleigh number and mechanical anisotropy parameter have destabilizing effect, while the thermal anisotropy parameter has stabilizing effect on the stationary and oscillatory convection. The Damkohler number has destabilizing effect in the case of stationary mode, with stabilizing effect in the case of oscillatory mode.

Effect of Vertical Magnetic Field on the Onset of Double Diffusive Convection in a Horizontal Porous Layer with Concentration Based Internal Heat Source

“…They showed that an increase in both the heat source and mass flow results in destabilization. Reviews on internal heat source in porous media can also be found in early studies, [14,15,16,17,18]. There is interest also, in the study of magnetohydrodynamics (MHD) flow and internal heat transfer on the performance of many systems using electrically conducting fluids; for example in geothermal energy extractions and nuclear reactors.…”