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Research Papers: Natural and Mixed Convection

Free Convection in Shallow and Slender Porous Cavities Filled by a Nanofluid Using Buongiorno's Model

[+] Author and Article Information
M. A. Sheremet

Department of Mechanics and Mathematics,
Tomsk State University,
Tomsk 634050, Russia
Institute of Power Engineering,
Tomsk Polytechnic University,
Tomsk 634050, Russia
e-mail: michael-sher@yandex.ru

T. Groşan

Department of Applied Mathematics,
Babeş-Bolyai University,
CP 253,
Cluj-Napoca 400082, Romania
e-mail: tgrosan@math.ubbcluj.ro

I. Pop

Department of Applied Mathematics,
Babeş-Bolyai University,
CP 253,
Cluj-Napoca 400082, Romania
e-mail: popm.ioan@yahoo.co.uk

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received October 31, 2013; final manuscript received March 31, 2014; published online April 23, 2014. Assoc. Editor: Andrey Kuznetsov.

J. Heat Transfer 136(8), 082501 (Apr 23, 2014) (5 pages) Paper No: HT-13-1559; doi: 10.1115/1.4027355 History: Received October 31, 2013; Revised March 31, 2014

A numerical study of the steady free convection flow in shallow and slender porous cavities filled by a nanofluid is presented. The nanofluid model takes into account the Brownian diffusion and the thermophoresis effects. The governing dimensional partial differential equations are transformed into a dimensionless form before being solved numerically using a finite difference method. Effort has been focused on the effects of four types of influential factors such as the aspect ratio, the Rayleigh and Lewis numbers, and the buoyancy-ratio parameter on the fluid flow and heat transfer characteristics.

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Figures

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Fig. 1

Schematic view of the problem

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Fig. 2

Streamlines Ψ, isotherms θ, and isoconcentrations ϕ for Le = 10, A = 0.2: Nr = 0.1 – a, Nr = 0.4 – b

Grahic Jump Location
Fig. 3

Streamlines Ψ, isotherms θ, and isoconcentrations ϕ for Le = 100, A = 0.2: Nr = 0.1 – a, Nr = 0.4 – b

Grahic Jump Location
Fig. 4

Streamlines Ψ, isotherms θ, and isoconcentrations ϕ for A = 0.2: Ra = 100 – a, Ra = 1000 – b

Grahic Jump Location
Fig. 5

Streamlines Ψ, isotherms θ, and isoconcentrations ϕ for A = 5.0: Ra = 100 – a, Ra = 1000 – b

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