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Research Papers: Natural and Mixed Convection

An Experimental and Numerical Analysis of Natural Convective Heat Transfer in a Square Cavity With Five Discrete Heat Sources

[+] Author and Article Information
Giorgia Nardini

Dipartimento di Ingegneria Industriale e Scienze
Matematiche, DIISM,
Università Politecnica delle Marche,
Via Brecce Bianche,
Ancona 60131, Italy
e-mail: g.nardini@univpm.it

Massimo Paroncini

Full Professor
Dipartimento di Ingegneria Industriale e Scienze
Matematiche, DIISM,
Università Politecnica delle Marche,
Via Brecce Bianche,
Ancona 60131, Italy
e-mail: m.paroncini@univpm.it

Raffaella Vitali

Dipartimento di Ingegneria Industriale e Scienze
Matematiche, DIISM,
Università Politecnica delle Marche,
Via Brecce Bianche,
Ancona 60131, Italy
e-mail: r.vitali@univpm.it

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received November 11, 2015; final manuscript received July 7, 2016; published online August 16, 2016. Assoc. Editor: Guihua Tang.

J. Heat Transfer 138(12), 122502 (Aug 16, 2016) (8 pages) Paper No: HT-15-1722; doi: 10.1115/1.4034160 History: Received November 11, 2015; Revised July 07, 2016

This paper provides an experimental and numerical investigation of natural convection in a square cavity. The square cavity is full of air (Pr = 0.71) and contains four heat sources of height hW, positioned symmetrically on the vertical walls of the cavity with a fifth heat source of height hB, located in the center of the bottom cavity wall. Two configurations are analyzed for Rayleigh numbers ranging from 1.00 × 104 to 1.00 × 105: configuration 1 has four cold sources located on the vertical cavity wall and configuration 2 has two hot and two cold sources located on the vertical cavity walls. An analysis of the holographic interferograms, numerical isotherms, streamlines, and velocity maps obtained demonstrates an increased development of natural convective heat transfer in configuration 1.

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Figures

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Fig. 1

Cavity geometry for configuration 1 (top) and configuration 2 (bottom)

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Fig. 2

Holographic interferometry set up

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Fig. 3

Scheme of the holographic interferometry set

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Fig. 4

Mesh scheme X (m), Y (m)

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Fig. 5

Examples of experimental holographic interferograms for configuration 1

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Fig. 6

Numerical isotherms (K) for configuration 1(left column) and configuration 2(right column)

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Fig. 7

Numerical streamlines (kg s−1) for configuration 1 (left column) and configuration 2 (right column)

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Fig. 8

Numerical velocity maps (ms−1) for configuration 1 (left column) and configuration 2 (right column)

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Fig. 9

Numerical Nusselt numbers for the hot source located at the center of the bottom cavity wall (HB) for configurations 1 and 2

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