Double-diffusive convection in slender anisotropic porous enclosures

This article reports an analytical solution for steady natural convection i n a slender rectangular porous cavity with hydrodynamic, thermal, and solut e anisotropy, and uniform flux: of heat and mass on the vertical sides. The principal directions of the permeability, thermal diffusivity, and solute diffusivity tensors are taken independently oblique to the gravity vector. The assumptions inherent in the derivation of the analytical solution are v alidated by comparison with numerical solutions. The analytical solution is shown to be valid for aspect ratio beyond 3. A limited parametric analysis is also performed. The effect of the anisotropic parameters (K*, alpha*, D *, theta(1), theta(2), and theta(3)) are seen to be marked.