Technical Briefs

Performance of a Convectively Heated Rectangular Fin With a Step Change in Cross-Sectional Area and Losing Heat by Simultaneous Convection and Radiation (Step Fins Under Radiation Environment)

[+] Author and Article Information
B. Kundu1

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

A. Aziz

Department of Mechanical Engineering, School of Engineering, Gonzaga University, Spokane, WA 99258


Corresponding author.

J. Heat Transfer 132(10), 104502 (Jul 27, 2010) (6 pages) doi:10.1115/1.4001928 History: Received November 15, 2009; Revised May 04, 2010; Published July 27, 2010; Online July 27, 2010

A numerical procedure has been used to study the thermal performance of a step convective-radiative fin with temperature dependent thermal conductivity and convective base heating. An analytical solution has been developed for a pure convective fin with constant thermal conductivity, with its base exposed to a hot fluid. The effects of geometrical and thermophysical parameters on the temperature profiles in the fin, the fin efficiency, and the fin effectiveness are illustrated. The step fin is found to deliver a superior thermal performance compared with the uniformly thick fin.

Copyright © 2010 by American Society of Mechanical Engineers
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Figure 1

Schematic of a typical step fin

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Figure 2

Effect of radiation parameter Rp and Biot number BiL on the temperature distribution: (a) variation in Rp and (b) variation in BiL

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Figure 3

Influence of Z0, BiL, Rp, R, LR, and β on the fin efficiency: (a) η versus Z0 for different Rp, (b) η versus Z0 for different BiL, (c) η versus R for different Rp, and (d) η versus β for different LR

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Figure 4

A geometric variation of a step fin on the fin performance: (a) η versus ψ, (b) η/A versus R, and (c) ε/A versus R



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