Forced convection gaseous slip flow in circular porous micro-channels

Abstract

Laminar forced convection of gaseous slip flow in a circular micro-channel filled with porous media under local thermal equilibrium condition is studied numerically using the finite difference technique. Hydrodynamically fully developed flow is considered and the Darcy-Brinkman-Forchheimer model is used to model the flow inside the porous domain. The present study reports the effect of several operating parameters (Knudsen number (Kn), Darcy number (Da), Forchhiemer number ( ), and modified Reynolds number (Re * D )) on the velocity slip and temperature jump at the wall. Results are given in terms of the velocity distribution, temperature distribution, skin friction (C f Re * D ), and the Nusselt number (Nu). It is found that the skin friction is increased by (1) decreasing Knudsen number, (2) increasing Darcy number, and (3) decreasing Forchheimer number. Heat transfer is found to (1) decrease as the Knudsen number, or Forchheimer number increase, (2) increase as the Peclet number or Darcy number increase.

Slip flow forced convection in a microporous duct of rectangular cross-section

“…This leads to h max =612 (Kw/m 2 ) which is a remarkable value especially when one observes that the fully developed value of h is always less than its developing counterpart, see for example (Mousavi and Hooman 2006, Hooman and Gurgenci 2007b, Haddad, Ali-Nimr and Sari 2007.…”

Influence of magnetohydrodynamic viscous flow on entropy generation within porous micro duct using the Lattice Boltzmann Method

“…The rst case concerns a forced convection of gaseous slip-ow in porous micro-channels under Local Thermal Non-Equilibrium conditions carried out by Haddad et al 41,42 The validation is devoted to the velocity and Nusselt number calculation expressed in the following form:…”

Analysis of gaseous slip flow in a porous micro-annulus under local thermal non-equilibrium condition – An exact solution

“…Similar results were also reported by Tunc and Bayazitoglu [15] for microtubes. Also, previously published analytical works on slip-flow convection [16,17] can be noted in here. As compared to the velocity slip, the temperature jump dominates the heat transfer process, which leads to a reduction in the heat transfer.…”