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Advances in Mathematical Physics
Volume 2014 (2014), Article ID 809367, 13 pages
Analysis of Heat Transfer in Berman Flow of Nanofluids with Navier Slip, Viscous Dissipation, and Convective Cooling
1Faculty of Military Science, Stellenbosch University, Private Bag Box X2, Saldanha 7395, South Africa
2Mathematics and Computational Science and Engineering, Nelson Mandela African Institute of Science and Technology (NM-AIST), Arusha, Tanzania
3Faculty of Engineering Built Environment and Information Technology, Nelson Mandela Metropolitan University, P.O. Box 77000, Port Elizabeth 6031, South Africa
Received 10 February 2014; Accepted 26 February 2014; Published 31 March 2014
Academic Editor: R. N. Jana
Copyright © 2014 O. D. Makinde et al. 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.
- A. S. Berman, “Laminar flow in channels with porous walls,” Journal of Applied Physics, vol. 24, pp. 1232–1235, 1953.
- J. R. Sellars, “Laminar flow in channels with porous walls at high suction Reynolds numbers,” Journal of Applied Physics, vol. 26, no. 4, pp. 489–490, 1955.
- S. W. Yaun, “Further investigation of laminar flow in channels with porous walls,” Journal of Applied Physics, vol. 27, no. 3, pp. 267–269, 1956.
- R. M. Terrill, “An exact solution for flow in a porous pipe,” Journal of Applied Mathematics and Physics, vol. 33, no. 4, pp. 547–552, 1982.
- R. M. Terrill, “Laminar flow in a porous tube,” Journal of Fluids Engineering, vol. 105, pp. 303–306, 1983.
- M. M. Sorour, M. A. Hassab, and S. Estafanous, “Developing laminar flow in a semiporous two-dimensional channel with nonuniform transpiration,” International Journal of Heat and Fluid Flow, vol. 8, pp. 44–54, 1987.
- M. B. Zaturska, P. G. Drazin, and W. H. H. Banks, “On the flow of a viscous fluid driven along a channel by suction at porous walls,” Fluid Dynamics Research, vol. 4, no. 3, pp. 151–178, 1988.
- R. J. Pederson and R. B. Kinney, “Entrance-region heat transfer for laminar flow in porous tubes,” International Journal of Heat and Mass Transfer, vol. 14, pp. 159–161, 1971.
- O. D. Makinde, “Extending the utility of perturbation series in problems of laminar flow in a porous pipe and a diverging channel,” Australian Mathematical Society B. Applied Mathematics, vol. 41, no. 1, pp. 118–128, 1999.
- G. D. Raithby, “Laminar heat transfer in the thermal entrance region of circular tubes and two-dimensional rectangular ducts with wall suction and injection,” International Journal of Heat and Mass Transfer, vol. 14, pp. 224–243, 1971.
- S. U. S. Choi, “Enhancing thermal conductivity of fluids with nanoparticles,” in Proceedings of the ASME International Mechanical Engineering Congress and Exposition, pp. 99–105, ASME, San Francisco, Calif, USA, 1995.
- B. C. Pak and Y. I. Cho, “Hydrodynamic and heat transfer study of dispersed fluids with submicron metallic oxide particles,” Experimental Heat Transfer, vol. 11, no. 2, pp. 151–170, 1998.
- D. Wen and Y. Ding, “Experimental investigation into the pool boiling heat transfer of aqueous based c-alumina nanofluids,” Journal of Nanoparticle Research, vol. 7, no. 2, pp. 265–274, 2005.
- J. Wang, J. Zhu, X. Zhang, and Y. Chen, “Heat transfer and pressure drop of nanofluids containing carbon nanotubes in laminar flows.,” Experimental Thermal and Fluid Science, vol. 44, pp. 716–721, 2013.
- Y. Xuan and Q. Li, “Investigation on convective heat transfer and flow features of nanofluids,” Journal of Heat Transfer, vol. 125, no. 1, pp. 151–155, 2003.
- H. F. Oztop and E. Abu-Nada, “Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids,” International Journal of Heat and Fluid Flow, vol. 29, pp. 1326–1336, 2008.
- O. D. Makinde, “Computational modelling of nanofluids flow over a convectively heated unsteady stretching sheet,” Current Nanoscience, vol. 9, pp. 673–678, 2013.
- S. Kakac and A. Pramuanjaroenkij, “Review of convective heat transfer enhancement with nanofluids,” International Journal of Heat and Mass Transfer, vol. 52, no. 13/14, pp. 3187–3196, 2009.
- P. Huang and K. S. Breuer, “Direct measurement of slip length in electrolyte solutions,” Physics of Fluids, vol. 19, Article ID 028104, 2007.
- M. J. Martin and D. I. Boyd, “Momentum and heat transfer in a laminar boundary layer with slip flow,” Journal of Thermophysics and Heat Transfer, vol. 20, no. 4, pp. 710–719, 2006.
- C. L. M. H. Navier, “Mémoire sur les lois du mouvement des fluides,” Mémoires de l'Académie Royale des Sciences de l'Institut de France, vol. 6, pp. 389–440, 1823.
- H. C. Brinkman, “The viscosity of concentrated suspensions and solution,” The Journal of Chemical Physics, vol. 20, pp. 571–581, 1952.
- J. C. Maxwell, Electricity and Magnetism, Clarendon, Oxford, UK, 3rd edition, 1904.
- T. Y. Na, Computational Methods in Engineering Boundary Value Problems, Academic Press, New York, NY, USA, 1979.
- O. D. Makinde, “Hermite-Padé approach to thermal radiation effect on inherent irreversibility in a variable viscosity channel flow,” Computers & Mathematics with Applications, vol. 58, no. 11-12, pp. 2330–2338, 2009.