Abstract
The laminar fully developed nanofluid flow and heat transfer in a horizonal channel are investigated. Highly accurate solutions for the temperature and nanoparticle concentration distributions are obtained. The effects of the Brownian motion parameter N b, the thermophoresis parameter N t, and the Lewis number Le on the temperature and nanoparticle concentration distributions are discussed. The current analysis shows that the nanoparticles can improve the heat transfer characteristics significantly for this flow problem.
Similar content being viewed by others
References
Gebhart, B., Jaluria, Y., Mahajan, R. L., and Sammakia, B. Buoyancy-Induced Flows and Transport, Hemisphere, New York (1988)
Martynenko, O. G. and Khramtsov, P. P. Free-Convective Heat Transfer, Springer, Berlin (2005)
Choi, U. S. Enhancing thermal conductivity of fluids with nanoparticles. ASME FED, 231, 99–103 (1995)
Yu, M. and Lin, J. Nanoparticle-laden flows via moment method: a review. Int. J. Multiphase Flow, 36, 144–151 (2010)
Das, S. K., Choi, U. S., and Yu, W. Nanofluids Sciences and Technology, Wiley, New Jersey (2008)
Buongiorno, J. Convective transport in nanofluids. ASME J. Heat Transfer, 128, 240–250 (2006)
Daungthongsuk, W. and Wongwises, S. A critical review of convective heat transfer nanofluids. Renew. Sust. Energ. Rev., 11, 797–817 (2007)
Ding, Y., Chen, H., Wang, L., Yang, C. Y., Hel, Y., Yang, W., Lee, W. P., Zhang, L., and Huo, R. Heat transfer intensification using nanofluids. Kona, 25, 23–38 (2007)
Wang, X. Q. and Mujumdar, A. S. A review on nanofluids-part I: theoretical and numerical investigations. Brazilian J. Chem. Engng., 25, 613–630 (2008)
Wang, X. Q. and Mujumdar, A. S. A review on nanofluids-part II: experiments and applications. Brazilian J. Chem. Engng., 25, 631–648 (2008)
Kakaç, S. and Pramuanjaroenkij, A. Review of convective heat transfer enhancement with nanofluids. Int. J. Heat Mass Transfer, 52, 3187–3196 (2009)
Eastman, J. A., Choi, S. U. S., Li, S., Yu, W., and Thompson, L. J. Anomalously increased effective thermal conductivities of ethylene glycol-based nanofluids containing copper nanoparticles. Appl. Phys. Lett., 78, 718–720 (2001)
Xie, H. Q., Lee, H., Youn, W., and Choi, M. Nanofluids containing multiwalled carbon nanotubes and their enhanced thermal conductivities. J. Appl. Phys., 94, 4967–4971 (2003)
Oztop, H. F. and Abu-Nada, E. Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids. Int. J. Heat Fluid Flow, 29, 1326–1336 (2008)
Xuan, Y. M. and Li, Q. Heat transfer enhancement of nanofluid. Int. J. Heat Fluid Flow, 21, 58–64 (2000)
Cimpean, D. S. and Pop, I. Fully developed mixed convection flow of a nanofluid through an inclined channel filled with a porous medium. Int. J. Heat Mass Transfer, 55, 907–914 (2012)
Lin, J., Lin, P., and Chen, H. Research on the transport and deposition of nanoparticles in a rotating curved pipe. Phys. Fluids, 21, 122001 (2009)
Lin, P. F. and Lin, J. Z. Prediction of nanoparticle transport and deposition in bends. Appl. Math. Mech. -Engl. Ed., 30(8), 957–968 (2009) DOI 10.1007/s10483-009-0802-z
Lavine, A. S. Analysis of fully developed opposingmixed convection between inclined parallel plates. Wärme-und Stoffübertragung, 23, 249–257 (1988)
Muthtamilselvan, M., Kandaswamy, P., and Lee, J. Heat transfer enhancement of copper-water nanofluids in a lid-driven enclosure. Commun. Nonlinear Sci. Numer. Simulat., 15, 1501–1510 (2010)
Chen, Y. C. and Chung, J. N. The linear stability of mixed convection in a vertical channel flow. J. Fluid Mech., 325, 29–51 (1996)
Liao, S. J. Beyond Perturbation: Introduction to the Homotopy Analysis Method, Chapman & Hall/CRC Press, Boca Raton (2003)
Cheng, J., Cang, J., and Liao, S. J. On the interaction of deep water waves and exponential shear currents. Z. Angew. Math. Phys., 60, 450–478 (2009)
Abbasbandy, S. The application of homotopy analysis method to solve a generalized Hirota-Satsuma coupled KdV equation. Phys. Lett. A, 361, 478–483 (2007)
Hayat, T. and Sajid, M. Homotopy analysis of MHD boundary layer flow of an upper-convected Maxwell fluid. Int. J. Eng. Sci., 45, 393–401 (2007)
You, X. C. and Xu, H. Analytical approximations for the periodic motion of the Duffing system with delayed feedback. Numer. Algor., 56, 561–576 (2011)
Zhu, S. P. An exact and explicit solution for the valuation of American put options. Quant. Financ., 6, 229–242 (2006)
Wang, Z. C., Tang, D. W., and Hua, X. G. Similarity solutions for flows and heat transfer in microchannels between two parallel plates. Int. J. Heat Mass Transfer, 54, 2349–2354 (2011)
Nield, D. A. and Kuznetsov, A. V. The Cheng-Minkowycz problem for natural convective boundary layer flow in a porous medium saturated by a nanofluid. Int. J. Heat Mass Transfer, 52, 5792–5795 (2009)
Author information
Authors and Affiliations
Corresponding author
Additional information
Project supported by the National Natural Science Foundation of China (No. 10972136) and the Doctoral Fund for New Teachers of Higher Eduation of China (No. 20090073120014)
Rights and permissions
About this article
Cite this article
Fan, T., Xu, H. & Pop, I. Mixed convection heat transfer in horizontal channel filled with nanofluids. Appl. Math. Mech.-Engl. Ed. 34, 339–350 (2013). https://doi.org/10.1007/s10483-013-1674-9
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10483-013-1674-9