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RESEARCH PAPERS: Natural and Mixed Convection

Turbulent Heat Transfer in an Enclosure With a Horizontal Permeable Plate in the Middle

[+] Author and Article Information
Edimilson J. Braga

Departamento de Energia—IEME, Instituto Tecnológico de Aeronáutica—ITA, 12228-900, São José dos Campos, SP, Brazil

Marcelo J. de Lemos1

Departamento de Energia—IEME, Instituto Tecnológico de Aeronáutica—ITA, 12228-900, São José dos Campos, SP, Brazildelemos@ita.br

1

Corresponding author.

J. Heat Transfer 128(11), 1122-1129 (Apr 05, 2006) (8 pages) doi:10.1115/1.2352779 History: Received April 15, 2005; Revised April 05, 2006

Turbulent natural convection in a vertical two-dimensional square cavity, isothermally heated from below and cooled at the upper surface, is numerically analyzed using the finite volume method. The enclosure has a thin horizontal porous obstruction, made of a highly porous material and extremely permeable, located at the cavity midheight. Governing equations are written in terms of primitive variables and are recast into a general form. For empty cavities, no discrepancies result for the Nusselt number when laminar and turbulent model solutions are compared for Rayleigh numbers up to 107. Also, in general the porous obstruction decreases the heat transfer across the heated walls showing overall lower Nusselt numbers when compared with those without the porous obstruction. However, the presence of a porous plate in the cavity seems to force an earlier separation from laminar to turbulence model solutions due to higher generation rates of turbulent kinetic energy into the porous matrix.

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Copyright © 2006 by American Society of Mechanical Engineers
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Figures

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Figure 1

Geometry under consideration

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Figure 2

Isotherms for laminar solution for a square cavity heated from below and cooled from the ceiling for Ra=4×104

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Figure 3

Streamlines of turbulent solution of a vertical square cavity with a porous obstruction for Ra=4×104, 106, and 107 with ϕ=0.95 and Dp=1mm

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Figure 4

Isotherms of turbulent solution of a vertical square cavity with a porous obstruction for (a) Ra=4×104, (b) 106, and (c) 107 with ϕ=0.95 and Dp=1mm

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Figure 5

Isolines of k for turbulent solution for a vertical square cavity with a porous obstruction for Ra=4×104, 106, and 107 with ϕ=0.95 and Dp=1mm

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