Steady heat transfer through a two-dimensional rectangular straight fin
type: Item
instance of: scholarly article
title: Steady heat transfer through a two-dimensional rectangular straight fin
zbMATH Open document ID: 1213.80015
DOI: 10.1155/2011/826819
author: Raseelo J. Moitsheki
author: Atish Rowjee
published in: Mathematical Problems in Engineering
publication date: 2011-06-07T00:00:00Z
full work available at URL: https://eudml.org/doc/228321
review text: Summary: Exact solutions for models describing heat transfer in a two-dimensional rectangular fin are constructed. Thermal conductivity, internal energy generation function, and heat transfer coefficient are assumed to be dependent on temperature. We apply the Kirchoff transformation on the governing equation. Exact solutions satisfying the realistic boundary conditions are constructed for the resulting linear equation. Symmetry analysis is carried out to classify the internal heat generation function, and some reductions are performed. Furthermore, the effects of physical parameters such as extension factor (the purely geometric fin parameter) and Biot number on temperature are analyzed. Heat flux and fin efficiency are studied.
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 5904920
Wikidata QID: Q58693468
MaRDI profile type: Publication
OpenAlex ID: W2012115356
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description: scientific article; zbMATH DE number 5904920