Application of the two-dimensional differential transform method to heat conduction problem for heat transfer in longitudinal rectangular and convex parabolic fins

被引：22

作者：

Ndlovu, Partner L. ^{[1
]}

Moitsheki, Raseelo J. ^{[1
]}

机构：

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

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2013年 / 18卷 / 10期

基金：

新加坡国家研究基金会;

关键词：

Two-dimensional DTM; Analytical solutions; Fins; Rectangular and convex profiles; Temperature dependent thermal properties; TEMPERATURE;

D O I：

10.1016/j.cnsns.2013.02.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, approximate analytical (series) solutions for the temperature distribution in a longitudinal rectangular and convex parabolic fins with temperature dependent thermal conductivity and heat transfer coefficient are derived. The transient heat conduction problem is solved for the first time using the two-dimensional differential transform method (2D DTM). The effects of some physical parameters such as the thermo-geometric parameter, exponent and thermal conductivity gradient on temperature distribution are studied. Furthermore, we study the temperature profile at the fin tip. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：2689 / 2698

页数：10

共 26 条

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[Anonymous], 2011, INT J ENG APPL SCI

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