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

Autor:	Shahnor Basri, Dayang Laila Abang Abdul Majid, Faizal Mustapha, Abdul Aziz Jaafar, Md. Moslemuddin Fakir
Rok vydání:	2009
Předmět:	Distribution (mathematics) Fin Computational complexity theory Mesh generation Mathematical analysis Nyström method Finite element method Differential (mathematics) Mathematics Quadrature (mathematics)
Zdroj:	Engineering. :151-160
ISSN:	1947-394X 1947-3931
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::fae92fe4e4c0185b6aa08d39bdec3508 https://doi.org/10.4236/eng.2009.13018 Zobrazit plný text záznamu