TITLE:
Heat Distribution in Rectangular Fins Using Efficient Finite Element and Differential Quadrature Methods
AUTHORS:
ShahNor BASRI, M. M. FAKIR, F. MUSTAPHA, D. L. A. MAJID, A. A. JAAFAR
KEYWORDS:
Efficient Finite Element Method, Efficient Differential Quadrature Method, Heat Transfer Problem
JOURNAL NAME:
Engineering,
Vol.1 No.3,
November
24,
2009
ABSTRACT: 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 complex-ity. 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.