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 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.
Issue Section:
Technical Brief
References
1.
Morton
, B. R.
, 1960
, “Laminar Convection in Uniformly Heated Pipes
,” J. Fluid Mech.
, 8
(2
), pp. 227
–240
.10.1017/S0022112060000566
2.
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
.3.
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
.10.1016/0017-9310(93)90059-F
4.
Barletta
, A.
, 2005
, “Dual Mixed Convection Flows in a Vertical Channel
,” Int. J. Heat Mass Transfer
, 48
(23–24
), pp. 4835
–4845
.10.1016/j.ijheatmasstransfer.2005.05.036
5.
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
.10.1016/j.ijheatmasstransfer.2006.10.042
6.
Lavine
, A. S.
, 1988
, “Analysis of Fully Developed Opposing Mixed Convection Between Inclined Parallel Plates
,” Wärme - und Stoffübertragung
, 23
(4
), pp. 249
–257
10.1007%2FBF01807328.7.
Wang
, X.
, 1995
, “Mixed Convection in an Inclined Channel With Localized Heat Sources
,” Numer. Heat Transfer, Part A
, 28
(3
), pp. 355
–373
.10.1080/10407789508913750
8.
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
.10.1007/s11242-008-9264-2
9.
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
.10.1002/cjce.20684
10.
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
.10.1016/j.ijheatmasstransfer.2011.10.018
11.
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
.12.
Xuan
, Y. M.
, and
Roetzel
, W.
, 2000
, “Conceptions for Heat Transfer Correlation of Nanofluids
,” ASME Int. J. Heat Transfer
, 43
(19
), pp. 3701
–3707
.10.1016/S0017-9310(99)00369-5
13.
Buongiorno
, J.
, 2006
, “Convective Transport in Nanofluids
,” ASME J. Heat Transfer
128
(3
), pp. 240
–250
.10.1115/1.2150834
14.
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
.10.1016/j.ijheatfluidflow.2005.02.004
15.
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
.10.1016/j.ijthermalsci.2010.10.008
16.
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
.10.1016/j.ijheatmasstransfer.2011.11.042
17.
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
.10.1016/j.ijheatfluidflow.2008.04.009
Copyright © 2014 by ASME
You do not currently have access to this content.
