Characteristic Study of Coriolis Force on Free Convection in a Finite Geometry with Isotropic and Anisotropic Porous Media

Abstract

Work carried out in this paper deals with classic Rayleigh–Bѐnard problem for an unsteady, laminar, viscous incompressible fluid of a horizontal layer heated from below which is extended to the three-dimensional convection in a rectangular box with anisotropic and isotropic porous media rotating with constant angular velocity that is investigated. For the given physical system, seven governing PDEs are transformed to system of non-dimensional ODEs using similarity transformation. The investigation demands to apply Fourier series method to study the characteristic of velocity and temperature for the effect of Taylor number, Rayleigh number and Prandtl number for both isotropic and anisotropic cases. The results of the stream function and isotherms on various parameters have been discussed and found to be good agreement for the physical system.