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...

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Bibliographic Details
Main Authors: Fakir, Md Moslemuddin, S., Basri, M. M., Rahman, R. A., Bakar
Format: Conference or Workshop Item
Language:English
Published: IOP Publishing 2012
Subjects:
Online Access:http://umpir.ump.edu.my/id/eprint/25122/1/Efficient%20finite%20element%20and%20differential%20quadrature%20methods.pdf
http://umpir.ump.edu.my/id/eprint/25122/
https://doi.org/10.1088/1757-899X/36/1/012039
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Institution: Universiti Malaysia Pahang
Language: English
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Summary: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.