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Research Papers: Natural and Mixed Convection

Natural Convection in a Quadrantal Cavity Heated and Cooled on Adjacent Walls

[+] Author and Article Information
Orhan Aydin1

Department of Mechanical Engineering, Karadeniz Technical University, 61080 Trabzon, Turkeyoaydin@ktu.edu.tr

Gurkan Yesiloz

Department of Mechanical Engineering, Karadeniz Technical University, 61080 Trabzon, Turkey

1

Corresponding author.

J. Heat Transfer 133(5), 052501 (Feb 01, 2011) (7 pages) doi:10.1115/1.4003044 History: Received March 01, 2010; Revised September 23, 2010; Published February 01, 2011; Online February 01, 2011

In this study, experimental and numerical analyses of natural convection in a quadrantal cavity heated and cooled on adjacent walls have been made to examine heat and fluid flow. Experimental studies involve the use of the particle tracing method that enables us to visualize the flow pattern in the enclosure. Numerical solutions are obtained using a commercial computational fluid dynamics package, FLUENT , using the finite volume method. Water is used as the working fluid. Effects of the Rayleigh number, Ra, on the Nusselt number, Nu, as well as velocity and temperature fields are investigated for the range of Ra from 103 to 107. A new approach is suggested to overcome the singularity at the corner joining the differentially heated isothermal walls when determining Nu. This novel approach is justified through the purely analytical conduction solution. The experimental and numerical results are shown to agree fairly well. Finally, a correlation for Nu is developed.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 1

Definition of the problem

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Figure 3

Pure conduction solution

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Figure 4

Experimental setup

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Figure 5

Schematic picture of the experimental facility with optical installation

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Figure 6

Streamlines (left) and isotherms (right) for (a) Ra=103 and (b) Ra=104

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Figure 7

Experimental (left) and numerical (right) streamlines: (a) Ra=1.7×105, (b) Ra=106, (c) Ra=5×106, and (d) Ra=107

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Figure 8

Numerical isotherms: (a) Ra=1.7×105, (b) Ra=106, (c) Ra=5×106, and (d) Ra=107

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Figure 9

Average Nusselt number on the heated wall versus Rayleigh number

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Figure 10

Local Nusselt number on the heated wall versus Rayleigh number

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