Effect of anisotropy in permeability on thermal convection of viscoelastic fluids in rotating porous layer heated from below

Abstract

In this work, we studied the linear stability analyses of thermal convection, in a viscoelastic fluid saturated rotating anisotropic porous layer heated from below. The influence of hydrodynamic anisotropy and of rotation on the convective phenomenon are considered and investigated by extending the modified Darcy-Maxwell-Jeffrey model to include the Coriolis force term. It is shown that the anisotropic permeability ratio , the inclination angle of the principal axes ( ) of the porous medium, the relaxation time ( ), the retardation time ( ) and the Taylor Darcy number ( ) have a strong influence on the convective flow.