Effect of heat generation and thermal radiation on heat transfer in porous enclosure having t-shape inner geometry

Abstract

The numerical investigation of steady two-dimensional free convection is conducted to analyze the thermal radiation and viscous dissipation effects on heat transfer characteristics in fluid saturated T-shape porous hollow enclosure. The nonlinear partial differential equations in terms of stream function, using Darcy’s law and Boussinesq approximation, are solved numerically using finite difference scheme based on Gauss-Seidel approach. The results of this analysis discussed for the wide range of pertinent parameters such as radiation parameter ( $0\text{-1}$ ), viscous dissipation parameter ( $0\text{-}0.1$ ) and Rayleigh number ( $100\text{-}200$ ) in terms of local and average heat flow rate, streamlines and isotherms. The obtained results show that the average heat flow rate is enhanced with radiation parameter and reduced with viscous dissipation parameter. The results are graphically depicted to show the implications of the pertinent parameters in heat and flow field inside the hollow porous enclosure.