Determination of the temperature distribution in a rectangular cooling fin using the finite element method

This paper involves the use of the Galerkin finite elementmethod to determine the temperature distribution in a rectangular cooling fin.The governing equation is a one-dimensional second order differential equation.The result shows that the temperature at the tip of the rectangular cooling finwhich...

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Main Authors: İredia Erhunmwun, Monday J. Omoregie
Format: Article
Language:English
Published: Kyrgyz Turkish Manas University 2019-06-01
Series:MANAS: Journal of Engineering
Subjects:
Online Access:https://dergipark.org.tr/en/download/article-file/738101
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author İredia Erhunmwun
Monday J. Omoregie
author_facet İredia Erhunmwun
Monday J. Omoregie
author_sort İredia Erhunmwun
collection DOAJ
description This paper involves the use of the Galerkin finite elementmethod to determine the temperature distribution in a rectangular cooling fin.The governing equation is a one-dimensional second order differential equation.The result shows that the temperature at the tip of the rectangular cooling finwhich was 1000C and begins to drop as it proceeds to theother end of the rectangular cooling fin which is 61.55180C at 0.1m. The result obtained from the finite elementsolutions when compared with the analytical solution, shows that the accuracywas very high with the highest percentage error of 0.000432875. It can bestated that the finite element solution is an accurate method for determiningthe temperature distribution in a rectangular cooling fin.
format Article
id doaj-art-cb02cbf677b845abad3d7f59a2ddd5cd
institution OA Journals
issn 1694-7398
language English
publishDate 2019-06-01
publisher Kyrgyz Turkish Manas University
record_format Article
series MANAS: Journal of Engineering
spelling doaj-art-cb02cbf677b845abad3d7f59a2ddd5cd2025-08-20T02:19:48ZengKyrgyz Turkish Manas UniversityMANAS: Journal of Engineering1694-73982019-06-01717121437Determination of the temperature distribution in a rectangular cooling fin using the finite element methodİredia Erhunmwun0https://orcid.org/0000-0002-0497-8220Monday J. Omoregie1https://orcid.org/0000-0002-0497-8220University of BeninUniversity of BeninThis paper involves the use of the Galerkin finite elementmethod to determine the temperature distribution in a rectangular cooling fin.The governing equation is a one-dimensional second order differential equation.The result shows that the temperature at the tip of the rectangular cooling finwhich was 1000C and begins to drop as it proceeds to theother end of the rectangular cooling fin which is 61.55180C at 0.1m. The result obtained from the finite elementsolutions when compared with the analytical solution, shows that the accuracywas very high with the highest percentage error of 0.000432875. It can bestated that the finite element solution is an accurate method for determiningthe temperature distribution in a rectangular cooling fin.https://dergipark.org.tr/en/download/article-file/738101cooling finsheat transferfinite element methodanalytical solution
spellingShingle İredia Erhunmwun
Monday J. Omoregie
Determination of the temperature distribution in a rectangular cooling fin using the finite element method
MANAS: Journal of Engineering
cooling fins
heat transfer
finite element method
analytical solution
title Determination of the temperature distribution in a rectangular cooling fin using the finite element method
title_full Determination of the temperature distribution in a rectangular cooling fin using the finite element method
title_fullStr Determination of the temperature distribution in a rectangular cooling fin using the finite element method
title_full_unstemmed Determination of the temperature distribution in a rectangular cooling fin using the finite element method
title_short Determination of the temperature distribution in a rectangular cooling fin using the finite element method
title_sort determination of the temperature distribution in a rectangular cooling fin using the finite element method
topic cooling fins
heat transfer
finite element method
analytical solution
url https://dergipark.org.tr/en/download/article-file/738101
work_keys_str_mv AT irediaerhunmwun determinationofthetemperaturedistributioninarectangularcoolingfinusingthefiniteelementmethod
AT mondayjomoregie determinationofthetemperaturedistributioninarectangularcoolingfinusingthefiniteelementmethod