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Technical Brief

Efficiency of the Longitudinal Fins of Trapezoidal Profile in Motion

[+] Author and Article Information
M. Turkyilmazoglu

Mathematics Department,
University of Hacettepe,
Beytepe, Ankara 06532, Turkey
e-mail: turkyilm@hotmail.com

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received November 2, 2015; final manuscript received February 23, 2017; published online May 2, 2017. Assoc. Editor: Peter Vadasz.

J. Heat Transfer 139(9), 094501 (May 02, 2017) (4 pages) Paper No: HT-15-1689; doi: 10.1115/1.4036328 History: Received November 02, 2015; Revised February 23, 2017

The present work is concerned with the heat transfer enhancement and efficiency in the moving longitudinal fins having trapezoidal cross sections. Finding analytical solutions is targeted so that efficiency of trapezoidal fins over the known fin sections can be comparatively searched. It is shown that certain type of trapezoidal fins may have advantageous fin design features. The formulas given in this paper may also be used as benchmark analysis.

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Figures

Grahic Jump Location
Fig. 1

Longitudinal fin profiles of trapezoidal shape

Grahic Jump Location
Fig. 2

Effects of shape parameter on the temperature of fin tip against Peclet number: (a) N = 1, θa=0, (b) N = 1, θa=1/2, (c) N = 2, θa=0, and (d) N = 2, θa=0

Grahic Jump Location
Fig. 3

Effects of fin shape parameter and Biot number on the fin efficiency versus Peclet number: (a) N = 1/2, (b) N = 1, and (c) N = 2

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