Finite Amplitude Convection in Rotating Porous Media

The linear stability of centrifugally induced convection in rotating porous layers suggests a wide range of possible convective solutions. While the linear solutions indicate possible convective regimes and flow details, it is the non-linear effect that eventually establishes the detailed nature of the convection patterns. The latter is accounted for in a finite amplitude analysis. The results of the finite amplitude analysis via the weak non-linear theory are presented here with the aim to assist in selecting between these solutions and providing further analytical detail on the nature of convection.