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TECHNICAL BRIEFS

Optimally Staggered Finned Circular and Elliptic Tubes in Turbulent Forced Convection

[+] Author and Article Information
R. L. Mainardes, R. S. Matos

Departamento de Engenharia Mecânica, Centro Politécnico, Universidade Federal do Paraná, Caixa Postal 19011, Curitiba, PR, 81531-990, Brazil

J. V. Vargas1

Departamento de Engenharia Mecânica, Centro Politécnico, Universidade Federal do Paraná, Caixa Postal 19011, Curitiba, PR, 81531-990, Braziljvargas@demec.ufpr.br

J. C. Ordonez

Department of Mechanical Engineering and Center for Advanced Power Systems, Florida State University, Tallahassee, FL, 32310-6046

1

Corresponding author.

J. Heat Transfer 129(5), 674-678 (Dec 15, 2006) (5 pages) doi:10.1115/1.2712860 History: Received April 10, 2006; Revised December 15, 2006

This work presents an experimental geometric optimization study to maximize the total heat transfer rate between a bundle of finned tubes in a given volume and a given external flow both for circular and elliptic arrangements, for general staggered configurations. The results are reported for air as the external fluid, in the range 2650Re2b10,600, where 2b is the smaller ellipse axis. Experimental optimization results for finned circular and elliptic tubes arrangements are presented. A relative heat transfer gain of up to 80% (Re2b=10,600) is observed in the elliptic arrangement optimized with respect to tube-to-tube spacings, as compared to the optimal circular one. A relative heat transfer gain of 80% is observed in the three-way optimized elliptic arrangement in comparison with the two-way optimized circular one; i.e., with respect to tube-to-tube and fin-to-fin spacings. An empirical correlation for the three-way optimized configuration was obtained to evaluate the resulting maximized dimensionless heat transfer rate.

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Copyright © 2007 by American Society of Mechanical Engineers
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Figures

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Figure 1

(a) One-way experimental optimization results (e=1 and Re2b=2650, 5300, 7950, and 10,600); (b) one-way experimental optimization results (e=0.6 and Re2b=2650, 5300, 7950, and 10,600), and (c) one-way experimental optimization results (e=0.5 and Re2b=2650, 5300, 7950, and 10,600)

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Figure 2

Two-way optimization of finned arrangements with respect to tube-to-tube spacing and eccentricity

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Figure 3

(a) Two-way optimization of finned circular arrangements with respect to tube-to-tube and fin-to-fin spacing, and (b) three-way optimization of finned arrangements with respect to tube-to-tube spacing, eccentricity and fin-to-fin spacing.

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Figure 4

The three-way maximized dimensionless heat transfer rate with respect to Re2b

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Figure 5

The total solid volume fraction of the arrangements with respect to eccentricity and fin-to-fin spacing

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