Some exact solutions of the fin problem with a power law temperature-dependent thermal conductivity

被引：72

作者：

Moitsheki, R. J. ^{[1
]}

Hayat, T. ^{[1
]}

Malik, M. Y. ^{[1
]}

机构：

[1] Univ Witwatersrand, Sch Computat & Appl Math, Ctr Differential Equat Continuum Mech & Applicat, ZA-2050 Johannesburg, South Africa

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 05期

基金：

新加坡国家研究基金会;

关键词：

Nonlinear fin equation; Heat transfer; Invariant solutions; ORDINARY DIFFERENTIAL-EQUATIONS; THIN-FILM FLOWS; GROUP CLASSIFICATION; HEAT-TRANSFER; SERIES SOLUTION;

D O I：

10.1016/j.nonrwa.2009.11.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This study investigates the exact solutions of a nonlinear fin problem with temperature-dependent thermal conductivity and the heat transfer coefficient. Both the conduction anti heat transfer terms are given by the same power law in one case and the distinct power law in the other. Classical Lie symmetry techniques are employed to construct the exact solutions which satisfy the realistic boundary conditions. The effects of the physical applicable parameters such as the thermo-geometric fin parameter and the fin efficiency are analyzed. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：3287 / 3294

页数：8

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