半无限介质瞬态热传导的同伦分析法

A·利扎尼亚; A·戈巴利; G·多麦利; H·巴拉尼亚

半无限介质瞬态热传导的同伦分析法

巴博尔工业大学机械工程系,巴博尔,伊朗

详细信息

中图分类号: TG113.22+3;O154.2
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出版历程
- 收稿日期: 2007-03-07
- 修回日期: 2008-11-15
- 刊出日期: 2008-12-15

Consideration of Transient Heat Conduction in a Semi-Infinite Medium Using Homotopy Analysis Method

Department of Mechanical Engineering, Babol Industrial University, P. O. Box 484, Babol, Iran

摘要

摘要: 应用同伦分析法（HAM）求解半无限介质瞬态热传导问题，该问题在不同的热场中有着广泛的应用．将得到的分析结果与精确解和积分法结果进行比较．比较表明，和其它近似方法相比，HAM能够提供更好的近似值．得到了铜、铁和铝在不同时间热流量的变化和温度的分布．
- 同伦分析法 /
- 半无限介质 /
- 传导 /
- 瞬态热传递 /
- 积分法 /
- 温度分布
Abstract: Transient heat conduction in a semi-infinite medium was considered for its many applications in various heat fields.Here,homotopy analysis method(HAM) was applied to solve this problem and analytical results were compared with those of exact and integral methods results.The results show that HAM can give much better approximations than the other approx imate methods.Change of heat fluxes and profiles of temperature are obtained in different times and positions for copper,iron and aluminum.
- homotopy analysis method /
- semi-infinite medium /
- conduction /
- transient heat transfer /
- integral methods /
- temperature profile

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参考文献(20)

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