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Research Papers

Numerical Analysis of Unsteady Conjugate Natural Convection of Hybrid Water-Based Nanofluid in a Semicircular Cavity

[+] Author and Article Information
Ali J. Chamkha

Mechanical Engineering Department,
Prince Mohammad Bin Fahd University,
Al-Khobar 31952, Saudi Arabia;
Prince Sultan Endowment for Energy
and Environment,
Prince Mohammad Bin Fahd University,
Al-Khobar 31952, Saudi Arabia

Igor V. Miroshnichenko

Laboratory on Convective
Heat and Mass Transfer,
Tomsk State University,
Tomsk 634050, Russia

Mikhail A. Sheremet

Laboratory on Convective
Heat and Mass Transfer,
Tomsk State University,
Tomsk 634050, Russia;
Department of Nuclear and
Thermal Power Plants,
Tomsk Polytechnic University,
Tomsk 634050, Russia

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF THERMAL SCIENCE AND ENGINEERING APPLICATIONS. Manuscript received May 15, 2016; final manuscript received February 22, 2017; published online April 19, 2017. Assoc. Editor: Giulio Lorenzini.

J. Thermal Sci. Eng. Appl 9(4), 041004 (Apr 19, 2017) (9 pages) Paper No: TSEA-16-1127; doi: 10.1115/1.4036203 History: Received May 15, 2016; Revised February 22, 2017

Unsteady conjugate natural convection in a semicircular cavity with a solid shell of finite thickness filled with a hybrid water-based suspension of Al2O3 and Cu nanoparticles (hybrid nanofluid) has been analyzed numerically. The governing equations for this investigation are formulated in terms of the dimensionless stream function, vorticity, and temperature and have been solved by the finite difference method of the second-order accuracy. The effects of the dimensionless time, Rayleigh number, thermal conductivity ratio, and the nanoparticles volume fraction on the flow patterns and heat transfer have been studied. The obtained results have revealed essential heat transfer enhancement at solid–fluid interface with addition of nanoparticles. In addition, a comparison of the heat transfer enhancement level due to the suspension of various nanoparticles materials (Al2O3 and Cu) in water as regular nanofluids (Al2O3/water and Cu/water) and as a hybrid Al2O3–Cu/water nanofluid is reported.

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Figures

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Fig. 1

Physical model and coordinate system

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Fig. 2

Comparison of isotherms θ for different values of Rayleigh and Prandtl numbers: (a) present results and (b) numerical data of Shi et al. [48]

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Fig. 3

Variations of average Nusselt number at solid–fluid interface for Ra = 105, Pr = 6.82, K = 1.0, ϕAl2O3=ϕCu=0.03 and different mesh parameters (a) and the utilized uniform grid of 100 × 100 points (b)

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Fig. 4

Streamlines ψ and isotherms θ at Ra = 105, K = 5, ϕ = 0.03: τ = 3 (a), τ = 10 (b), τ = 20 (c), τ = 50 (d), and τ = 200 (e)

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Fig. 5

Streamlines ψ and isotherms θ at K = 5, ϕ = 0.03, τ = 200: Ra = 104 (a), Ra = 105 (b), and Ra = 106 (c)

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Fig. 6

Variation of the average Nusselt number at solid–fluid interface versus the dimensionless time and Rayleigh number for K = 5, ϕ = 0.03

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Fig. 7

Streamlines ψ and isotherms θ at Ra = 105, ϕ = 0.03, τ = 200: K = 1 (a), K = 5 (b), K = 20 (c), and K = ∞ (d)

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Fig. 8

Variation of the average Nusselt number at solid–fluid interface versus the dimensionless time and thermal conductivity ratio for Ra = 105, ϕ = 0.03

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Fig. 10

Variation of the average Nusselt number at solid–fluid interface versus the dimensionless time and nanoparticles volume fraction for Ra = 105, K = 5

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Fig. 11

Variations of average Nusselt number at solid–fluid interface versus the nanoparticles volume fraction and Rayleigh number for K = 5, τ = 200 (a), versus the nanoparticles volume fraction and thermal conductivity ratio for Ra = 105, τ = 200 (b)

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Fig. 9

Streamlines ψ and isotherms θ at Ra = 105, K = 5, τ = 200: ϕ = 0.0 (a), ϕ = 0.03 (b), and ϕ = 0.05 (c)

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