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Heat distribution in rectangular fins using efficient finite element and differential quadrature methods

Finite element method (FEM) and differential quadrature method (DQM) are among important numerical techniques used in engineering analyses. Usually elements are sub-divided uniformly in FEM (conventional FEM, CFEM) to obtain temperature distribution behavior in a fin or plate. Hence, extra computati...

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Main Authors: Basri, Shahnor, Fakir, Md. Moslemuddin, Mustapha, Faizal, Abang Abdul Majid, Dayang Laila, Jaafar, Abdul Aziz
Format: Article
Language:English
Published: Scientific Research Publishing 2009
Online Access:http://psasir.upm.edu.my/id/eprint/14146/1/Engineering20090300003_51977390.pdf
http://psasir.upm.edu.my/id/eprint/14146/
https://www.scirp.org/journal/PaperInformation.aspx?PaperID=872
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spelling my.upm.eprints.141462018-10-05T07:39:03Z http://psasir.upm.edu.my/id/eprint/14146/ Heat distribution in rectangular fins using efficient finite element and differential quadrature methods Basri, Shahnor Fakir, Md. Moslemuddin Mustapha, Faizal Abang Abdul Majid, Dayang Laila Jaafar, Abdul Aziz Finite element method (FEM) and differential quadrature method (DQM) are among important numerical techniques used in engineering analyses. Usually elements are sub-divided uniformly in FEM (conventional FEM, CFEM) to obtain temperature distribution behavior in a fin or plate. Hence, extra computational complexity is needed to obtain a fair solution with required accuracy. In this paper, non-uniform sub-elements are considered for FEM (efficient FEM, EFEM) solution to reduce the computational complexity. Then this EFEM is applied for the solution of one-dimensional heat transfer problem in a rectangular thin fin. The obtained results are compared with CFEM and efficient DQM (EDQM), with non-uniform mesh generation). It is found that the EFEM exhibit more accurate results than CFEM and EDQM showing its potentiality. Scientific Research Publishing 2009 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/14146/1/Engineering20090300003_51977390.pdf Basri, Shahnor and Fakir, Md. Moslemuddin and Mustapha, Faizal and Abang Abdul Majid, Dayang Laila and Jaafar, Abdul Aziz (2009) Heat distribution in rectangular fins using efficient finite element and differential quadrature methods. Engineering, 1 (3). pp. 151-160. ISSN 1947-3931; ESSN: 1947-394X https://www.scirp.org/journal/PaperInformation.aspx?PaperID=872 10.4236/eng.2009.13018
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description Finite element method (FEM) and differential quadrature method (DQM) are among important numerical techniques used in engineering analyses. Usually elements are sub-divided uniformly in FEM (conventional FEM, CFEM) to obtain temperature distribution behavior in a fin or plate. Hence, extra computational complexity is needed to obtain a fair solution with required accuracy. In this paper, non-uniform sub-elements are considered for FEM (efficient FEM, EFEM) solution to reduce the computational complexity. Then this EFEM is applied for the solution of one-dimensional heat transfer problem in a rectangular thin fin. The obtained results are compared with CFEM and efficient DQM (EDQM), with non-uniform mesh generation). It is found that the EFEM exhibit more accurate results than CFEM and EDQM showing its potentiality.
format Article
author Basri, Shahnor
Fakir, Md. Moslemuddin
Mustapha, Faizal
Abang Abdul Majid, Dayang Laila
Jaafar, Abdul Aziz
spellingShingle Basri, Shahnor
Fakir, Md. Moslemuddin
Mustapha, Faizal
Abang Abdul Majid, Dayang Laila
Jaafar, Abdul Aziz
Heat distribution in rectangular fins using efficient finite element and differential quadrature methods
author_facet Basri, Shahnor
Fakir, Md. Moslemuddin
Mustapha, Faizal
Abang Abdul Majid, Dayang Laila
Jaafar, Abdul Aziz
author_sort Basri, Shahnor
title Heat distribution in rectangular fins using efficient finite element and differential quadrature methods
title_short Heat distribution in rectangular fins using efficient finite element and differential quadrature methods
title_full Heat distribution in rectangular fins using efficient finite element and differential quadrature methods
title_fullStr Heat distribution in rectangular fins using efficient finite element and differential quadrature methods
title_full_unstemmed Heat distribution in rectangular fins using efficient finite element and differential quadrature methods
title_sort heat distribution in rectangular fins using efficient finite element and differential quadrature methods
publisher Scientific Research Publishing
publishDate 2009
url http://psasir.upm.edu.my/id/eprint/14146/1/Engineering20090300003_51977390.pdf
http://psasir.upm.edu.my/id/eprint/14146/
https://www.scirp.org/journal/PaperInformation.aspx?PaperID=872
_version_ 1643825545419423744
score 13.211869

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