Linear and non-linear stability limits for centrifugal convection in an anisotropic layer

Abstract

This paper finds stability limits for the onset of convection in a fluid saturated porous layer subject to alternating directions of centrifugal acceleration. The layer is homogeneous but mechanically and thermally anisotropic. The Brinkman equation is assumed to govern the momentum balance of the fluid flow. A linear analysis based on normal mode approach and a non-linear analysis based on energy method are made. The non-linear results are unconditional and their sharp limits are obtained. The numerical solutions predicted using the compound matrix method show that the anisotropy parameters and offset distances of the axis of rotation significantly affect the stability characteristics.