Stability of Natural Convection in a Vertical Anisotropic Porous Channel with Oblique Principal Axes Under Thermal Nonequilibrium Conditions

摘要

The impact of anisotropies in the permeability with slanted principal axes and thermal conductivity of fluid as well as solid phases on the stability properties of convection in a vertical porous layer is deliberated under the contemplation of thermal nonequilibrium. The classical energy analysis is observed to be insufficient in dealing with the stability analysis because of the tilting of the main principal axes of permeability with the gravity vector. Accordingly, the stability eigenvalue problem is solved numerically. It is found that the system is always stable for all infinitesimal disturbances irrespective of the values of physical parameters considered.