A theoretical answer to the controversial issue on the anomalous convective heat transfer in nanofluids has been provided, exploiting the Buongiorno model for convective heat transfer in nanofluids with modifications to fully account for the effects of nanoparticle volume fraction distributions on the continuity, momentum, and energy equations. A set of exact solutions have been obtained for hydrodynamically and thermally fully developed laminar nanofluid flows in channels and tubes, subject to constant heat flux. From the solutions, it has been concluded that the anomalous heat transfer rate, exceeding the rate expected from the increase in thermal conductivity, is possible in such cases as titania–water nanofluids in a channel, alumina–water nanofluids in a tube and also titania–water nanofluids in a tube. Moreover, the maximum Nusselt number based on the bulk mean nanofluid thermal conductivity is captured when the ratio of Brownian and thermophoretic diffusivities is around 0.5, which can be exploited for designing nanoparticles for high-energy carriers.
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On the Anomalous Convective Heat Transfer Enhancement in Nanofluids: A Theoretical Answer to the Nanofluids Controversy
M. Mochizuki,
M. Mochizuki
Department of Mechanical Engineering,
Shizuoka University
,3-5-1 Johoku, Naka-ku
,Hamamatsu 432-8561
, Japan
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A. Nakayama
A. Nakayama
1
Department of Mechanical Engineering,
School of Civil Engineering and Architecture,
Wuhan, Hubei 430023, China
e-mail: tmanaka@ipc.shizuoka.ac.jp
Shizuoka University
,3-5-1 Johoku, Naka-ku
,Hamamatsu 432-8561
, Japan
;School of Civil Engineering and Architecture,
Wuhan Polytechnic University
,Wuhan, Hubei 430023, China
e-mail: tmanaka@ipc.shizuoka.ac.jp
1Corresponding author.
Search for other works by this author on:
M. Mochizuki
Department of Mechanical Engineering,
Shizuoka University
,3-5-1 Johoku, Naka-ku
,Hamamatsu 432-8561
, Japan
A. Nakayama
Department of Mechanical Engineering,
School of Civil Engineering and Architecture,
Wuhan, Hubei 430023, China
e-mail: tmanaka@ipc.shizuoka.ac.jp
Shizuoka University
,3-5-1 Johoku, Naka-ku
,Hamamatsu 432-8561
, Japan
;School of Civil Engineering and Architecture,
Wuhan Polytechnic University
,Wuhan, Hubei 430023, China
e-mail: tmanaka@ipc.shizuoka.ac.jp
1Corresponding author.
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received June 5, 2012; final manuscript received January 3, 2013; published online April 11, 2013. Assoc. Editor: Oronzio Manca.
J. Heat Transfer. May 2013, 135(5): 054504 (9 pages)
Published Online: April 11, 2013
Article history
Received:
June 5, 2012
Revision Received:
January 3, 2013
Citation
Yang, C., Li, W., Sano, Y., Mochizuki, M., and Nakayama, A. (April 11, 2013). "On the Anomalous Convective Heat Transfer Enhancement in Nanofluids: A Theoretical Answer to the Nanofluids Controversy." ASME. J. Heat Transfer. May 2013; 135(5): 054504. https://doi.org/10.1115/1.4023539
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