Abstract
This investigation deals with the classic Rayleigh - Benard problem for a laminar, viscous, unsteady incompressible fluid flow heated from below is extended to three-dimensional convection in a nite geometry with isotropic and anisotropic porous media rotating with constant angular velocity and the magnetic eld is applied in the vertical direction. For the given physical set-up, governing partial differential equations are transformed to a set of non-dimensional ordinary differential equations using similarity transformation. This demands to apply Fourier series method to study the characteristic of velocity, temperature and concentration for the effect of Taylors number, Rayleigh number, Hartmanns number and Prandtl number for both anisotropic and isotropic porous media. The results of steam function and isotherms on various parameters have been discussed and found to be good agreement for the physical system.
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