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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

## Abstract

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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## References

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## Figures

Fig. 1

Physical configuration and coordinate system

Fig. 2

Flow regime map of TiO2-water nanofluid

Fig. 3

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

Fig. 4

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

Fig. 5

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

Fig. 6

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

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