Consideration of transient heat conduction in a semi-infinite medium using homotopy analysis method

被引：5
|
作者：
Rezania, A. [1 ]
Ghorbali, A. [1 ]
Domairry, G. [1 ]
Bararnia, H. [1 ]
机构：
[1] Babol Ind Univ, Dept Mech Engn, Babol Sar, Iran
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2008年 / 29卷 / 12期
关键词：
homotopy analysis method; semi-infinite medium; conduction; transient heat transfer; integral methods; temperature profile; TG113;
D O I：
10.1007/s10483-008-1210-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the current work, transient heat conduction in a semi-infinite medium is considered for its many applications in various heat fields. Here, the homotopy analysis method (HAM) is applied to solve this problem and analytical results are compared with those of the exact and integral methods results. The results show that the HAM can give much better approximations than the other approximate methods. Changes in heat fluxes and profiles of temperature are obtained at different times and positions for copper, iron and aluminum.
引用
收藏
页码：1625 / 1632
页数：8
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