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Research Papers: Natural and Mixed Convection

Free Convection in an Open Triangular Cavity Filled With a Nanofluid Under the Effects of Brownian Diffusion, Thermophoresis and Local Heater

[+] Author and Article Information
Nadezhda S. Bondareva

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

Hakan F. Oztop

Department of Mechanical Engineering,
Technology Faculty,
Fırat University,
Elazig 23119, Turkey;
Department of Mechanical Engineering,
King Abdulaziz University,
Jeddah 21589, Saudi Arabia
e-mail: hfoztop1@gmail.com

Nidal Abu-Hamdeh

Department of Mechanical Engineering,
King Abdulaziz University,
Jeddah 21589, Saudi Arabia

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received September 30, 2016; final manuscript received August 18, 2017; published online December 19, 2017. Assoc. Editor: Antonio Barletta.

J. Heat Transfer 140(4), 042502 (Dec 19, 2017) (12 pages) Paper No: HT-16-1614; doi: 10.1115/1.4038192 History: Received September 30, 2016; Revised August 18, 2017

Natural convection of a water-based nanofluid in a partially open triangular cavity with a local heat source of constant temperature under the effect of Brownian diffusion and thermophoresis has been analyzed numerically. Governing equations formulated in dimensionless stream function and vorticity variables on the basis of two-phase nanofluid model with corresponding initial and boundary conditions have been solved by finite difference method. Detailed study of the effect of Rayleigh number, buoyancy-ratio parameter, and local heater location on fluid flow and heat transfer has been carried out. It has been revealed that an increase in the buoyancy force magnitude leads to homogenization of nanoparticles distribution inside the cavity. A growth of a distance between the heater and the cavity corner illustrates the heat transfer enhancement.

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Figures

Grahic Jump Location
Fig. 1

Physical model and coordinate system (a) and typical form of used computational grid (b)

Grahic Jump Location
Fig. 2

Comparison of streamlines ψ and isotherms θ for Ra = 105 and Pr = 0.7: (a) numerical data of Mohamad et al. [30], (b) numerical data of Mahmoudi et al. [31], and (c) present results

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Fig. 3

Experimental streamlines ψ and numerical isotherms θ by Yesiloz and Aydin [32] (a) and obtained results (b) at Ra = 105

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Fig. 4

Experimental streamlines ψ and numerical isotherms θ by Yesiloz and Aydin [32] (a) and obtained results (b) at Ra = 106

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Fig. 5

Variations of the average Nusselt number at heater (a) and fluid flow rate inside the cavity (b) versus the dimensionless time and mesh parameters

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Fig. 6

Streamlines ψ, isotherms θ, isoconcentrations ϕ for Nr = 15, δ/L = 0.3: (a) Ra = 103, (b) Ra = 104, and (c) Ra = 105

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Fig. 7

Profiles of local Nusselt number along the heater for different Rayleigh numbers at Nr = 15, δ/L = 0.3

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Fig. 8

Variations of the average Nusselt number at local heater (a) and maximum absolute value of stream function (b) versus the dimensionless time and Rayleigh number for Nr = 15, δ/L = 0.3

Grahic Jump Location
Fig. 9

Streamlines ψ, isotherms θ, isoconcentrations ϕ for Ra = 104, δ/L = 0.3: (a) Nr = 0, (b) Nr = 5, (c) Nr = 10, and (d) Nr = 30

Grahic Jump Location
Fig. 10

Variations of the average Nusselt number at local heater (a) and maximum absolute value of stream function (b) versus the buoyancy-ratio parameter and Rayleigh number for δ/L = 0.3

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Fig. 11

Streamlines ψ, isotherms θ, isoconcentrations ϕ for Ra = 104, Nr = 15: (a) δ/L = 0.1, (b) δ/L = 0.3, and (c) δ/L = 0.5

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Fig. 12

Variations of the average Nusselt number at local heater (a) and maximum absolute value of stream function (b) versus the heater position and Rayleigh number for Nr = 15

Grahic Jump Location
Fig. 13

Streamlines ψ, isotherms θ, isoconcentrations ϕ for Ra = 104, δ/L = 0.3, Nr = 15: (a) Le = 100, (b) Le = 500, and (c) Le = 1000

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