Dr. Marpu, NON-DARCY FLOW AND AXIAL CONDUCTION EFFECTS ON FORCED-CONVECTION IN POROUS MATERIAL FILLED PIPES, Warme- und Stoffubertragung, 29(1), 1993, pp. 51-58
The effects of non-Darcy extensions and axial conduction on forced con
vective heat transfer in porous material filled pipes have been examin
ed numerically employing successive accelerated replacement scheme. Th
e non-Darcy extensions considered are classical convective terms, Forc
hheimer non-linear inertial terms and Brinkman viscous terms. Numerica
l results obtained indicate that inclusion of axial conduction leads t
o significant increase in local as well as average Nusselt number in t
he thermally developing region for Pe< 100. Among the aforementioned n
on-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-lin
ear inertial terms to Brinkman extended Darcy flow model lead to a sli
ght increase in local Nusselt number. When all the non-Darcy extension
s are included, the local Nusselt numbers coinside with the local Nuss
elt numbers obtained with Darcy-Forchheimer-Brinkman flow description.