Efficient finite element and differential quadrature methods for heat distribution in one-dimensional insulated-tip rectangular fin
There are many numerical solution techniques acquainted by the computational mechanics community including the finite element method (FEM) and differential quadrature method (DQM). Usually elements are sub-divided uniformly in FEM (conventional FEM, CFEM) to obtain temperature distribution behavior...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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IOP Publishing
2012
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| Subjects: | |
| Online Access: | http://umpir.ump.edu.my/id/eprint/25122/1/Efficient%20finite%20element%20and%20differential%20quadrature%20methods.pdf |
| _version_ | 1796993409190199296 |
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| author | Fakir, Md Moslemuddin S., Basri M. M., Rahman R. A., Bakar |
| author_facet | Fakir, Md Moslemuddin S., Basri M. M., Rahman R. A., Bakar |
| author_sort | Fakir, Md Moslemuddin |
| collection | UMP |
| description | There are many numerical solution techniques acquainted by the computational mechanics community including the finite element method (FEM) and differential quadrature method (DQM). Usually elements are sub-divided uniformly in FEM (conventional FEM, CFEM) to obtain temperature distribution behavior in a fin. In CFEM extra computational complexity is needed to obtain a better solution with required accuracy. In this paper, non-uniform sub-elements techniques are considered for the FEM (efficient FEM, EFEM) solution to reduce the computational complexity. Then EFEM is applied for the solution of the one-dimensional heat transfer problem in an insulated-tip thin rectangular fin. The results are compared with CFEM and efficient DQM (EDQM, with non-uniform mesh generation). It is observed that EFEM exhibits more accurate results compared to CFEM and EDQM. The proposed techniques are showing the potentiality of the heat transfer related problem. |
| first_indexed | 2024-03-06T12:33:33Z |
| format | Conference or Workshop Item |
| id | UMPir25122 |
| institution | Universiti Malaysia Pahang |
| language | English |
| last_indexed | 2024-03-06T12:33:33Z |
| publishDate | 2012 |
| publisher | IOP Publishing |
| record_format | dspace |
| spelling | UMPir251222019-11-08T01:10:25Z http://umpir.ump.edu.my/id/eprint/25122/ Efficient finite element and differential quadrature methods for heat distribution in one-dimensional insulated-tip rectangular fin Fakir, Md Moslemuddin S., Basri M. M., Rahman R. A., Bakar TJ Mechanical engineering and machinery TS Manufactures There are many numerical solution techniques acquainted by the computational mechanics community including the finite element method (FEM) and differential quadrature method (DQM). Usually elements are sub-divided uniformly in FEM (conventional FEM, CFEM) to obtain temperature distribution behavior in a fin. In CFEM extra computational complexity is needed to obtain a better solution with required accuracy. In this paper, non-uniform sub-elements techniques are considered for the FEM (efficient FEM, EFEM) solution to reduce the computational complexity. Then EFEM is applied for the solution of the one-dimensional heat transfer problem in an insulated-tip thin rectangular fin. The results are compared with CFEM and efficient DQM (EDQM, with non-uniform mesh generation). It is observed that EFEM exhibits more accurate results compared to CFEM and EDQM. The proposed techniques are showing the potentiality of the heat transfer related problem. IOP Publishing 2012 Conference or Workshop Item PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/25122/1/Efficient%20finite%20element%20and%20differential%20quadrature%20methods.pdf Fakir, Md Moslemuddin and S., Basri and M. M., Rahman and R. A., Bakar (2012) Efficient finite element and differential quadrature methods for heat distribution in one-dimensional insulated-tip rectangular fin. In: 1st International Conference on Mechanical Engineering Research 2011, ICMER 2011 , 5-7 Disember 2011 , Kuantan, Pahang Darul Makmur. pp. 1-10., 36 (1). ISSN 1757-899X https://doi.org/10.1088/1757-899X/36/1/012039 |
| spellingShingle | TJ Mechanical engineering and machinery TS Manufactures Fakir, Md Moslemuddin S., Basri M. M., Rahman R. A., Bakar Efficient finite element and differential quadrature methods for heat distribution in one-dimensional insulated-tip rectangular fin |
| title | Efficient finite element and differential quadrature methods for heat distribution in one-dimensional insulated-tip rectangular fin |
| title_full | Efficient finite element and differential quadrature methods for heat distribution in one-dimensional insulated-tip rectangular fin |
| title_fullStr | Efficient finite element and differential quadrature methods for heat distribution in one-dimensional insulated-tip rectangular fin |
| title_full_unstemmed | Efficient finite element and differential quadrature methods for heat distribution in one-dimensional insulated-tip rectangular fin |
| title_short | Efficient finite element and differential quadrature methods for heat distribution in one-dimensional insulated-tip rectangular fin |
| title_sort | efficient finite element and differential quadrature methods for heat distribution in one dimensional insulated tip rectangular fin |
| topic | TJ Mechanical engineering and machinery TS Manufactures |
| url | http://umpir.ump.edu.my/id/eprint/25122/1/Efficient%20finite%20element%20and%20differential%20quadrature%20methods.pdf |
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