Optimal Stability Thresholds in Rotating Fully Anisotropic Porous Medium with LTNE

Abstract The onset of thermal convection in an anisotropic horizontal porous layer heated from below and rotating about vertical axis, under local non-equilibrium hypothesis is studied. Linear nonlinear stability analysis the conduction solution performed. Coincidence between linear instability global thresholds with respect to L 2 —norm proved. Article Highlights A necessary sufficient condition for a has been obtained. It proved that can occur only through steady motion. detailed proof reported thoroughly. Numerical shows permeability promotes convection, while conductivities rotation stabilize .