Effect of Rayleigh Thermal Number in Double Diffusive Non-Darcy Mixed Convective Flow in Vertical Pipe Filled with Porous Medium

Abstract In the present manuscript effect of different Rayleigh number of non-darcy fully developed mixed convection in a vertical pipe filled with porous media is numerical investigation. The motion in the pipe caused by external pressure gradient and byoucey force. Non-Darcy Brinkmen-Forchheimer extended model has been introduces in momentum equation. The basic state of the flow model using fundamental assumption is formed in the form of coupled differential equation which is solved using Chebyshev Spectral collocation technique. The study is best based on double diffusive mixed convection which is governed in mathematical formulation of the problem, in which the velocity profile posses point of inflection beyond the threshold value of RaT (Positive Rayilegh thermal number). In case of Negative Rayliegh thermal number, 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 create a back flow near the wall.