Heat Distribution in Rectangular Fins Using Efficient Finite Element and Differential Quadrature Methods

Basri, Shahnor; Fakir, M. M.; Mustapha, F.; Majid, D. L. A.; Jaafar, A. A.
November 2009
Engineering;Nov2009, Vol. 1 Issue 3, p151
Academic Journal
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.


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