Thermal convection for a Darcy-Brinkman rotating anisotropic porous layer in local thermal non-equilibrium

Abstract The onset of natural convection in a fluid-saturated anisotropic porous layer, which rotates about the vertical axis, under hypothesis local thermal non-equilibrium, is analysed. Since porosity medium assumed to be high, more suitable Darcy-Brinkman model adopted. Linear instability analysis conduction solution carried out. Nonlinear stability with respect $$L^2$$ L 2 -norm performed order prove coincidence between linear and global nonlinear thresholds. effect both rotation mechanical anisotropies on critical Rayleigh number for discussed.