Inertia effect on the onset of convection in rotating porous layers via the “auxiliary system method”

Via the auxiliary system method (Rionero, 2012 [35] and Rionero, 2013 [36], [37]) the onset of convection in rotating porous layers in the presence of inertia is investigated. The effects of rotation and inertia are respectively measured through the Taylor number T and Vadasz number Va (Section 2). For the tridimensional perturbations and the full non-linear problem, it is shown that: