Highly Nonlinear Temperature-Dependent Fin Analysis by Variational Iteration Method

被引：43

作者：

Fouladi, F. ^{[2
]}

Hosseinzadeh, E. ^{[3
]}

Barari, A. ^{[1
]}

Domairry, G. ^{[2
]}

机构：

[1] Aalborg Univ, Dept Civil Engn, Aalborg, Denmark

[2] Babol Univ Technol, Dept Mech Engn, Babol Sar, Iran

[3] Tech Univ Denmark, Div Thermal Energy, DK-2800 Lyngby, Denmark

来源：

HEAT TRANSFER RESEARCH | 2010年 / 41卷 / 02期

关键词：

heat transfer; conduction; convection; radiation; fin; variational iteration method; HOMOTOPY PERTURBATION METHOD; HEAT-TRANSFER COEFFICIENT; CONDUCTION PROBLEM; SINGLE FIN; EQUATIONS; FLUX;

D O I：

10.1615/HeatTransRes.v41.i2.40

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

In this research, the variational iteration method as an approximate analytical method is utilized to overcome some inherent limitations arising as uncontrollability to the nonzero endpoint boundary conditions and is used to solve some examples in the field of heat transfer. The available exact solutions for the linear equations and the numerical solutions for the nonlinear ones are good bases to demonstrate the accuracy and efficiency of the proposed method. With the help of the method one can simply analyze the thermal characteristics of a straight rectangular fin for all possible types of heat transfer because of the explicit outputs as the successive approximate solutions.

引用

页码：155 / 165

页数：11

共 21 条

[1]

[Anonymous], EXTENDED SURFACE HEA

[2] Application of homotopy perturbation method and variational iteration method to nonlinear oscillator differential equations [J].