Abstract
The study investigates natural convection in an annular space provided with metal foam fins attached to the inner cylinder. The metal foam fins made of copper were inserted in different axial sections with three fins in each section. The temperature of the inner cylinder is kept constant while the annular outer surface is adiabatic. The thickness effect of the inner pipe wall was considered. The Naiver Stokes equation with Boussinesq approximation is used for the fluid regime while the Brinkman-Forchheimer Darcy model is used for metal foam. The local thermal non-equilibrium condition in the energy equation of the porous media is presumed. The effect of Rayleigh number and number of foam fins in the axial direction on fluid flow and heat transfer characteristics were examined. Results showed that as the Rayleigh number increases, the convection mode becomes more dominant and the average Nusselt number increases. At a Rayleigh number of 10^6, the Nusselt number reached its highest value of 4.6 for the case of adding seven axial metal foams. A comparison between adding foam fins and copper fins showed a significant enhancement in the Nusselt number, with the greatest enhancement percentage being 45.9% at a Rayleigh number of 10^6 for the case of using seven sections of foam fins.
Keywords
concentric cylinders
local thermal non-equilibrium
Metal Foam
Natural convection
Numerical investigation