An asymmetric truncated concave parabolic fin is analyzed using a two-dimensional analytical method. In this analysis, the variation in the ratio of the top surface temperature to the bottom surface temperature along the fin length is presented. Heat loss from each surface and that from the fin are shown as a function of the convection characteristic number and the fin base height. The ratios of heat loss from each surface to that from the fin are given as a function of the actual fin length. The relationship between the convection characteristic number and the fin base height, as well as that between the actual fin length and the fin base height, are presented for equal amounts of heat loss. One of the results shows that the effect of fin base height variation on heat loss from the fin bottom surface and on heat loss from the fin tip surface is negligible when the actual fin length is fixed.

asymmetric truncated concave parabolic fin, heat loss, convection characteristic number, actual fin length, imaginary fin length.

Received: December 2, 2022; Accepted: January 10, 2023; Published: January 23, 2023

How to cite this article: Hyung Suk Kang, Analysis of an asymmetric truncated concave parabolic fin, JP Journal of Heat and Mass Transfer 31 (2023), 79-98. http://dx.doi.org/10.17654/0973576323007

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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