Effect of darcy number in double diffusive non-darcy mixed convective flow in vertical pipe filled anisotropic porous media

The Comprehensive numerical study is made here for non-darcy fully developed mixed convection in a vertical pipe filled with anisotropic porous media. The motion in the pipe caused by external pressure gradient and buoyancy force. Non-Darcy Brinkmen-Forchheimer extended model has been adopted in momentum equation. The basic flow model under appropriate physical assumption formed in the form of coupled differential equation which is solved numerically using Chebyshev Spectral collocation technique. Here the Effect of darcy number is given for the different cases of Ra_T (Rayilegh thermal number) in which the buoyancy due to thermal in favor of buoyancy due to Solutal impact and in another situation they opposed each other. velocity profile posses point of inflection beyond the threshold value of Ra_T (Rayleigh thermal number). In case of buoyancy opposed each other, along with the velocity profile may contain point of inflection in the centre zone and point of separation at the vicinity of the wall. Point of separation is creating a back flow near the wall.