Analytical solution for different profiles of fin with temperature-dependent thermal conductivity
type: Item
instance of: scholarly article
title: Analytical solution for different profiles of fin with temperature-dependent thermal conductivity
zbMATH Open document ID: 1204.74039
DOI: 10.1155/2010/568263
author: Juan-Miguel Gracia
published in: Mathematical Problems in Engineering
publication date: 2011-02-09T00:00:00Z
full work available at URL: https://eudml.org/doc/228336
review text: Summary: Three different profiles of the straight fin that has a temperature-dependent thermal conductivity are investigated by differential transformation method (DTM) and compared with numerical solution. Fin profiles are rectangular, convex, and exponential. For validation of the DTM, the heat equation is solved numerically by the fourth-order Runge-Kutta method. The temperature distribution, fin efficiency, and fin heat transfer rate are presented for three fin profiles and a range of values of heat transfer parameters. DTM results indicate that series converge rapidly with high accuracy. The efficiency and base temperature of the exponential profile are higher than the rectangular and the convex profiles. The results indicate that the numerical data and analytical method are in agreement with each other.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74F05
zbMATH DE Number: 5849036
Wikidata QID: Q58653156
MaRDI profile type: Publication
OpenAlex ID: W2033916173
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description: scientific article; zbMATH DE number 5849036