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Research Papers: Forced Convection

Nonlinear Heat Transfer in a Two-Layer Flow With Nanofluids by OHAM

[+] Author and Article Information
Umer Farooq

e-mail: umer@Sjtu.edu.cn

Lin Zhi-Liang

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

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received July 26, 2012; final manuscript received August 31, 2013; published online November 5, 2013. Assoc. Editor: Robert D. Tzou.

J. Heat Transfer 136(2), 021702 (Nov 05, 2013) (8 pages) Paper No: HT-12-1407; doi: 10.1115/1.4025432 History: Received July 26, 2012; Revised August 31, 2013

The problem of fully developed steady, laminar, incompressible flow in a vertical channel is studied analytically, one region is filled with water based copper nanofluid and the other region is filled with clear viscous fluid. The resulting coupled nonlinear ordinary differential equations (ODEs) are solved by optimal homotopy analysis method (OHAM). The convergence of our results is discussed by the so-called total average squared residual error. Analytical results are presented for different values of the physical parameters, such as the mixed convection parameters, the Brownian motion parameter, and thermophoresis parameter. Reversed flow is observed for sufficiently high buoyancy (mixed convection parameter). Further we investigate the effects of the Brownian motion parameter and thermophoresis parameter on the fluid flow and heat transfer at the interface of the two regions.

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References

Figures

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Fig. 1

Physical configuration

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Fig. 2

Comparison of OHAM results with Aung and Worku [3] for stream vise velocity profiles

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Fig. 3

Graphs of u(y), θ(y), and φ(y) for different λi with Nb = Nt = 0.01 and h = 0.1

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Fig. 4

Graphs of u(y), θ(y), and φ(y) for different λi with Nb = Nt = 0.01 and h = 1.0

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Fig. 5

Graphs of u(y), θ(y), and φ(y) for different Nb with λ1 = 1.0, Nt = 0.01, and h = 0.1

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Fig. 6

Graphs of u(y), θ(y), and φ(y) for different Nb with λ1 = 150, Nt = 0.01, and h = 1.0

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Fig. 7

Graphs of u(y), θ(y), and φ(y) for different Nt with λ1 = 150, Nb = 0.01, and h = 1.0

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