Table of Contents
Journal of Fluids
Volume 2013, Article ID 604893, 9 pages
http://dx.doi.org/10.1155/2013/604893
Research Article

Slip-Flow and Heat Transfer in a Porous Microchannel Saturated with Power-Law Fluid

1Department of Mechanical Engineering, Tafila Technical University, P.O. Box 179, Tafila 66110, Jordan
2Department of Mathematics, Al-Balqa Applied University, Irbid University College, P.O. Box 19117, Irbid 19110, Jordan

Received 18 May 2013; Accepted 5 October 2013

Academic Editor: Ciprian Iliescu

Copyright © 2013 Yazan Taamneh and Reyad Omari. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This study aims to numerically examine the fluid flow and heat transfer in a porous microchannel saturated with power-law fluid. The governing momentum and energy equations are solved by using the finite difference technique. The present study focuses on the slip flow regime, and the flow in porous media is modeled using the modified Darcy-Brinkman-Forchheimer model for power-law fluids. Parametric studies are conducted to examine the effects of Knudsen number, Darcy number, power law index, and inertia parameter. Results are given in terms of skin friction and Nusselt number. It is found that when the Knudsen number and the power law index decrease, the skin friction on the walls decreases. This effect is reduced slowly while the Darcy number decreases until it reaches the Darcy regime. Consequently, with a very low permeability the effect of power law index vanishes. The numerical results indicated also that when the power law index decreases the fully-developed Nusselt number increases considerably especially, in the limit of high permeability, that is, nonDarcy regime. As far as Darcy regime is concerned the effects of the Knudsen number and the power law index of the fully-developed Nusselt number is very little.