Performance and Optimization of Flat Plate Fins of Different Geometry on a Round Tube: A Comparative Investigation

[+] Author and Article Information
B. Kundu

Department of Mechanical Engineering, Jadavpur University, Kolkata 700 032, Indiabkundu123@rediffmail.com

J. Heat Transfer 129(7), 917-926 (Jan 13, 2007) (10 pages) doi:10.1115/1.2717255 History: Received February 15, 2006; Revised January 13, 2007

Owing to a uniform thickness, the fin material of a flat plate fin near to the tip does not participate optimally in transferring heat. On account of this, two new fin geometries of flat plate fins are proposed for improving the heat transfer rate per unit volume. These projected fin geometries, namely flat plate fin circumscribing a circular tube by providing quarter circular cut at the corners of the tip (FQCT) and flat plate fin circumscribing a circular tube having circular arc to cut at the tip (FCAT) are suggested. The thermal performance of the said geometric fins has been determined by a semianalytical method. By using a rigorous semianalytical technique, optimization have been demonstrated in a generalized scheme either by maximizing the rate of heat duty for a given fin volume or by minimizing the fin volume for a given heat transfer duty. The optimization study has also been made with the additional length constraints imposed on one or both sides of the fluid carrying tube. Finally, it can be demonstrated from the optimization study that two proposed fins, namely FQCT and FCAT, can dissipate more rate of heat than the FCT with an identical fin volume and thermophysical parameters. It can also be highlighted that the optimum FQCT and FCAT can transfer heat at a higher rate in comparison with the annular disk fin when a space constraint exists.

Copyright © 2007 by American Society of Mechanical Engineers
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Figure 1

Schematic diagrams of different flat fins: (a) FCT; (b) FQCT; and (c) FCAT

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Figure 2

Symmetric heat transfer module: (a) FQCT; and (b) FCAT

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Figure 3

Validation of the present result for FCTs with the existing results

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Figure 4

Comparisons of semianalytical and sector methods on prediction of fin performances for FQCT: (a) fin efficiency; and (b) fin effectiveness

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Figure 5

Isotherms in the different flat fins for Z0=1.3 and β=0.0: (a) FCT; (b) FQCT; and (c) FCAT

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Figure 6

Effects of radius of circular cut on the heat transfer rate for the constraints SX, SY and U: (a) FQCT; and (b) FCAT

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Figure 7

Design variables of an optimum FQCT as a function of fin volume U for a space restriction SY: (a) Qopt; (b) (SX)opt; and (c) (RC)opt; and (d) Topt

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Figure 8

Variation of the optimum design variables of FQCT with the dimensionless fin volume U: (a) Qopt; (b) (SX)opt; (c) (RC)opt; and (d) Topt



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