Technical Brief

Analysis of Fully Developed Opposing Mixed Convection Flow in an Inclined Channel Filled by a Nanofluid

[+] Author and Article Information
Xiang-Cheng You

School of Petroleum Engineering,
China University of Petroleum,
Beijing 102249, China
e-mail: xiangchengy@cup.edu.cn

Hang Xu

State Key Lab of Ocean Engineering,
School of Naval Architecture,
Ocean and Civil Engineering,
Shanghai Jiao Tong University,
Shanghai 200240, China
e-mail: hangxu@sjtu.edu.cn

Ioan Pop

Department of Mathematics,
Babeş-Bolyai University,
Cluj-Napoca 400084, Romania
e-mail: popm.ioan@yahoo.co.uk

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received May 7, 2013; final manuscript received September 9, 2014; published online September 30, 2014. Assoc. Editor: Ali Ebadian.

J. Heat Transfer 136(12), 124502 (Sep 30, 2014) (5 pages) Paper No: HT-13-1235; doi: 10.1115/1.4028564 History: Received May 07, 2013; Revised September 09, 2014

In this paper, an analysis is made on the convective heat transfer of a nanofluid between two inclined parallel plates with a uniform heat flux boundary condition. The analytical solutions are obtained explicitly for the velocity, temperature, and pressure distributions, which are dependent on two parameters P1 and P2. By alerting their values, four different regimes for flow reversal are found. On the other hand, it is found that the nanoparticle volume fraction φ has a significant influence on the flow reversal. Physically important quantities such as wall friction and Nusselt number are in detail discussed for the TiO2-water nanofluid.

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Morton, B. R., 1960, “Laminar Convection in Uniformly Heated Pipes,” J. Fluid Mech., 8(2), pp. 227–240. [CrossRef]
Cebeci, T., Khattab, A. A., and LaMont, R., 1982, “Combined Natural and Forced Convection in Vertical Ducts,” Proceedings of 7th International Heat Transfer Conference, Munich, West Germany, Vol. 3, pp. 419–424.
Chang, T. S., and Lin, T. F., 1993, “Steady and Oscillatory Opposing Mixed Convection in a Symmetrically Heated Vertical Channel With a Low-Prandtl Number Fluid,” Int. J. Heat Mass Transfer, 36(15), pp. 3783–3795. [CrossRef]
Barletta, A., 2005, “Dual Mixed Convection Flows in a Vertical Channel,” Int. J. Heat Mass Transfer, 48(23–24), pp. 4835–4845. [CrossRef]
Chang, T. S., 2007, “Effects of a Finite Section With Linearly Varying Wall Temperature on Mixed Convection in a Vertical Channel,” Int. J. Heat Mass Transfer, 50(11–12), pp. 2346–2354. [CrossRef]
Lavine, A. S., 1988, “Analysis of Fully Developed Opposing Mixed Convection Between Inclined Parallel Plates,” Wärme - und Stoffübertragung, 23(4), pp. 249–257 [CrossRef].
Wang, X., 1995, “Mixed Convection in an Inclined Channel With Localized Heat Sources,” Numer. Heat Transfer, Part A, 28(3), pp. 355–373. [CrossRef]
Cimpean, D., 2009, “Fully Developed Mixed Convection Flow Between Inclined Parallel Plates Filled With a Porous Medium,” Trans. Porous Media, 77(1), pp. 87–102. [CrossRef]
Allouil, Z., and Vasseur, P., 2013, “Fully Developed Mixed Convection of a Binary Fluid in a Vertical Porous Channel,” Can. J. Chem. Eng., 91(1), pp. 127–135. [CrossRef]
Cimpean, D. S., and Pop, I., 2012, “Fully Developed Mixed Convection Flow of a Nanofluid Through an Inclined Channel Filled With a Porous Medium,” Int. J. Heat Mass Transfer, 55(4), pp. 907–914. [CrossRef]
Choi, S., 1995, “Enhancing Thermal Conductivity of Fluids With Nanoparticle in Developments and Applications of Non-Newtonian Flows,” ASME Fluids Engineering Division, Vol. 231/MD-Vol. 66, pp. 99–105.
Xuan, Y. M., and Roetzel, W., 2000, “Conceptions for Heat Transfer Correlation of Nanofluids,” ASME Int. J. Heat Transfer, 43(19), pp. 3701–3707. [CrossRef]
Buongiorno, J., 2006, “Convective Transport in Nanofluids,” ASME J. Heat Transfer128(3), pp. 240–250. [CrossRef]
Maïga, S. E. B., Palm, S. J., Nguyen, C. T., Roy, G., and Galanis, N., 2005, “Heat Transfer Enhancement by Using Nanofluids in Forced Convection Flows,” Int. J. Heat Fluid Flow, 26(4), pp. 530–546. [CrossRef]
Yacob, N. A., Ishak, A., and Pop, I., 2011, “Falkner-Skan Problem for a Static or Moving Wedge in Nanofluids,” Int. J. Therm. Sci., 50(2), pp. 133–139. [CrossRef]
Rohni, A. M., Ahmad, S., and Pop, I., 2012, “Flow and Heat Transfer Over an Unsteady Shrinking Sheet With Suction in Nanofluids,” Int. J. Heat Mass Transfer, 55(7), pp. 1888–1895. [CrossRef]
Oztop, H. F., and Abu-Nada, E., 2008, “Numerical Study of Natural Convection in Partially Heated Rectangular Enclosures Filled With Nanofluids,” Int. J. Heat Fluid Flow, 29(5), pp. 1326–1336. [CrossRef]


Grahic Jump Location
Fig. 1

Physical configuration and coordinate system

Grahic Jump Location
Fig. 2

Flow regime map of TiO2-water nanofluid

Grahic Jump Location
Fig. 3

Variation with P2 of the velocity profiles for the TiO2-water nanofluid at P1 = 100

Grahic Jump Location
Fig. 4

Variation with P2 of the temperature profiles for the TiO2-water nanofluid at P1 = 100

Grahic Jump Location
Fig. 5

Variation of Cf Re with γ for some values of φ when Re = 10, Pr = 1 and Gr = 3000

Grahic Jump Location
Fig. 6

Variation of Nu with γ for some values of φ when Re = 10, Pr = 1 and Gr = 3000




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