Non-Darcy flow and axial conduction effects on forced convection in porous material filled pipes

The effects of non-Darcy extensions and axial conduction on forced convective heat transfer in porous material filled pipes have been examined numerically employing successive accelerated replacement scheme. The non-Darcy extensions considered are classical convective terms, Forchheimer non-linear inertial terms and Brinkman viscous terms. Numerical results obtained indicate that inclusion of axial conduction leads to significant increase in local as well as average Nusselt number in the thermally developing region for Pe<100. Among the aforementioned non-Darcy extensions, inclusion of Brinkman viscous terms to Darcy flow model lead to qualitatively significant changes in the flow and heat transfer. Inclusion of classical convective and/or Forchheimer non-linear inertial terms to Brinkman extended Darcy flow model lead to a slight increase in local Nusselt number. When all the non-Darcy extensions are included, the local Nusselt numbers coinside with the local Nusselt numbers obtained with Darcy-Forchheimer-Brinkman flow description.