One-Dimensional Heat Transfer in a Convection-Tip Rectangular Thin Fin: A Comparative Study
Among various numerical solution techniques, finite element method (FEM) and differential quadrature method (DQM) are two important of those. Usually elements are sub-divided uniformly in FEM (conventional FEM, CFEM) to obtain temperature distribution behavior in a fin. Hence, extra computational co...
Main Authors: | , , , |
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Format: | Conference or Workshop Item |
Language: | English |
Published: |
Universiti Malaysia Pahang
2010
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Subjects: | |
Online Access: | http://umpir.ump.edu.my/id/eprint/1758/ http://umpir.ump.edu.my/id/eprint/1758/1/One-Dimensional%20Heat%20Transfer%20in%20a%20Convection-Tip%20Rectangular%20Thin%20Fin%20A%20Comparative%20Study.pdf |
Summary: | Among various numerical solution techniques, finite element method (FEM) and differential quadrature method (DQM) are two important of those. Usually elements are sub-divided uniformly in FEM (conventional FEM, CFEM) to obtain temperature distribution behavior in a fin. 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 EFEM is applied for the solution of one-dimensional heat transfer problem in an convection-tip thin rectangular fin. The obtained results are compared with CFEM and efficient DQM (EDQM, with non-uniform mesh generation). It is found that the EFEM exhibits approximately 100% and 99% accuracy compared to CFEM and EDQM respectively showing its potentiality. |
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