LTNE Effects in the Darcy-Bénard Instability in a Rotating Anisotropic Porous Layer Saturated with a Fluid of Variable Viscosity

The stability characteristics of an infinitely extended horizontal anisotropic porous layer saturated with a fluid of temperature-dependent viscosity have been investigated using linear stability analysis. The Darcy-Brinkman momentum equation, which includes time-derivative and Coriolis terms, describes the flow. The two-equation model of the energy equation, one for the solid and the other for the fluid phase, has been used to characterize the local thermal nonequilibrium of the porous medium. The onset of thermal convection has been analyzed by superimposing perturbations of infinitesimal amplitude and performing stability analysis. The combined effect of temperature-dependent viscosity and local thermal nonequilibrium on the critical Rayleigh number has been reported in detail.