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

A. Rezania; A. Ghorbali; G. Domairry; H. Bararnia

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Article Navigation > Applied Mathematics and Mechanics > 2008 > 29(12): 1479-1485

A. Rezania, A. Ghorbali, G. Domairry, H. Bararnia. Consideration of Transient Heat Conduction in a Semi-Infinite Medium Using Homotopy Analysis Method[J]. Applied Mathematics and Mechanics, 2008, 29(12): 1479-1485.

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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

Received Date: 2007-03-07
Rev Recd Date: 2008-11-15
Publish Date: 2008-12-15

Abstract

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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References(20)

References

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