Table of Contents
Journal of Fluids
Volume 2013 (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.

Linked References

  1. G. Karniadakis, A. Beskok, and N. Aluru, Micro Flows and Nano Flows: Fundamentals and Simulation, Springer, New York, NY, USA, 2005.
  2. G. Karniadakis and A. Beskok, Micro Flows, Springer, New York, NY, USA, 2002.
  3. D. Nield and A. Bejan, Convection in Porous Media, Springer, New York, NY, USA, 1999.
  4. K. Vafai and C. L. Tien, “Boundary and inertia effects on flow and heat transfer in porous media,” International Journal of Heat and Mass Transfer, vol. 24, no. 2, pp. 195–203, 1981. View at Google Scholar · View at Scopus
  5. K. Watanabe, Y. Yanuar, and H. Mizunuma, “Slip of Newtonian fluids at slid boundary,” JSME International Journal B, vol. 41, no. 3, pp. 525–529, 1998. View at Google Scholar · View at Scopus
  6. E. B. Arkilic, K. S. Breuer, and M. A. Schmidt, “Gaseous flow in microchannels,” in Proceedings of the Applications of Micro-Fabrication to Fluid Mechanics (ASME '94), vol. 197, pp. 57–66, November 1994. View at Scopus
  7. F. Ezquerra Larrodé, C. Housiadas, and Y. Drossinos, “Slip-flow heat transfer in circular tubes,” International Journal of Heat and Mass Transfer, vol. 43, no. 15, pp. 2669–2680, 2000. View at Publisher · View at Google Scholar · View at Scopus
  8. R. F. Barron, X. Wang, T. A. Ameel, and R. O. Warrington, “The Graetz problem extended to slip-flow,” International Journal of Heat and Mass Transfer, vol. 40, no. 8, pp. 1817–1823, 1997. View at Google Scholar · View at Scopus
  9. S. Yu and T. A. Ameel, “Slip-flow heat transfer in rectangular microchannels,” International Journal of Heat and Mass Transfer, vol. 44, no. 22, pp. 4225–4234, 2001. View at Publisher · View at Google Scholar · View at Scopus
  10. J. Liu, Y.-C. Tai, and C.-M. Ho, “MEMS for pressure distribution studies of gaseous flows in microchannels,” in Proceedings of the IEEE Micro Electro Mechanical Systems Conference, pp. 209–215, February 1995. View at Scopus
  11. A. Beskok and G. E. Karniadakis, “Simulation of heat and momentum transfer in complex microgeometries,” Journal of Thermophysics and Heat Transfer, vol. 8, no. 4, pp. 647–655, 1994. View at Google Scholar · View at Scopus
  12. E. M. Sparrow and S. H. Lin, “Laminar heat transfer in tubes under slip-flow conditions,” Journal of Heat Transfer, vol. 84, pp. 363–369, 1962. View at Publisher · View at Google Scholar
  13. T. A. Ameel, R. F. Barron, X. Wang, and R. O. Warrington Jr., “Laminar forced convection in a circular tube with constant heat flux and slip flow,” Microscale Thermophysical Engineering, vol. 1, no. 4, pp. 303–320, 1997. View at Google Scholar · View at Scopus
  14. W. Qu, G. M. Mala, and D. Li, “Heat transfer for water flow in trapezoidal silicon microchannels,” International Journal of Heat and Mass Transfer, vol. 43, no. 21, pp. 3925–3936, 2000. View at Publisher · View at Google Scholar · View at Scopus
  15. Y. Zhu and S. Granick, “Rate-dependent slip of Newtonian liquid at smooth surfaces,” Physical Review Letters, vol. 87, no. 9, Article ID 096105, pp. 961051–961054, 2001. View at Google Scholar · View at Scopus
  16. O. M. Haddad, M. A. Al-Nimr, and Y. Taamneh, “Hydrodynamic and thermal behavior of gas flow in microchannels filled with porous media,” Journal of Porous Media, vol. 9, no. 5, pp. 403–414, 2006. View at Publisher · View at Google Scholar · View at Scopus
  17. O. M. Haddad, M. A. Al-Nimr, and M. S. Sari, “Forced convection gaseous slip flow in circular porous micro-channels,” Transport in Porous Media, vol. 70, no. 2, pp. 167–179, 2007. View at Publisher · View at Google Scholar · View at Scopus
  18. C.-H. Chen, “Thermal transport characteristics of mixed pressure and electro-osmotically driven flow in micro- and nanochannels with Joule heating,” Journal of Heat Transfer, vol. 131, no. 2, pp. 1–10, 2009. View at Publisher · View at Google Scholar · View at Scopus
  19. M. Kaviany, “Laminar flow through a porous channel bounded by isothermal parallel plates,” International Journal of Heat and Mass Transfer, vol. 28, no. 4, pp. 851–858, 1985. View at Google Scholar · View at Scopus
  20. A. Nakayama and A. V. Shenoy, “Non-Darcy forced convective heat transfer in a channel embedded in a non-Newtonian inelastic fluid-saturated porous medium,” Canadian Journal of Chemical Engineering, vol. 71, no. 1, pp. 168–173, 1993. View at Google Scholar · View at Scopus
  21. A. V. Shenoy, “Non-Newtonian fluid heat transfer in porous media,” Advances in Heat Transfer, vol. 24, pp. 101–190, 1994. View at Publisher · View at Google Scholar · View at Scopus
  22. G. Chen and H. A. Hadim, “Forced convection of a power-law fluid in a porous channel—numerical solutions,” Heat and Mass Transfer, vol. 34, no. 2-3, pp. 221–228, 1998. View at Google Scholar · View at Scopus
  23. G. Chen and A. Hadim, “Forced convection of power-law fluid in porous channel-Integral solution,” Journal of Porous Media, vol. 2, pp. 59–70, 1999. View at Google Scholar
  24. A. Hadim, “Forced convection in a porous channel with localized heat sources,” ASME Journal of Heat Transfer, vol. 116, no. 2, pp. 465–472, 1994. View at Google Scholar · View at Scopus
  25. S. Sorek, D. Levi-Hevroni, A. Levy, and G. Ben-Dor, “Extensions to the macroscopic Navier-Stokes equation,” Transport in Porous Media, vol. 61, no. 2, pp. 215–233, 2005. View at Publisher · View at Google Scholar · View at Scopus
  26. J. D. Hoffman, Numerical Methods for Engineers and Scientists, McGraw Hill, New York, NY, USA, 1992.