Green’s function solution for transient heat conduction in annular fin during solidification of phase change material

doi:10.1007/s10483-012-1620-x

Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (10): 1265-1274.doi: https://doi.org/10.1007/s10483-012-1620-x

Green’s function solution for transient heat conduction in annular fin during solidification of phase change material

A. H. MOSAFFA¹, F. TALATI¹, M. A. ROSEN², H. BASIRAT-TABRIZI³

1. Faculty of Mechanical Engineering, University of Tabriz, Tabriz 5166616471, Iran;
2. Faculty of Engineering and Applied Science, University of Ontario Institute of Technology, L1H 7K4 Oshawa, Ontario, Canada;
3. Department of Mechanical Engineering, Amirkabir University of Technology, Tehran 159163411, Iran

收稿日期:2011-10-08 修回日期:2011-12-15 出版日期:2012-10-10 发布日期:2012-10-10
通讯作者: A. H. MOSAFFA, Ph.D., E-mail: mosaffa@tabrizu.ac.ir E-mail:mosaffa@tabrizu.ac.ir

Green’s function solution for transient heat conduction in annular fin during solidification of phase change material

A. H. MOSAFFA¹, F. TALATI¹, M. A. ROSEN², H. BASIRAT-TABRIZI³

1. Faculty of Mechanical Engineering, University of Tabriz, Tabriz 5166616471, Iran;
2. Faculty of Engineering and Applied Science, University of Ontario Institute of Technology, L1H 7K4 Oshawa, Ontario, Canada;
3. Department of Mechanical Engineering, Amirkabir University of Technology, Tehran 159163411, Iran

Received:2011-10-08 Revised:2011-12-15 Online:2012-10-10 Published:2012-10-10

摘要/Abstract

摘要： The Green’s function method is applied for the transient temperature of an annular fin when a phase change material (PCM) solidifies on it. The solidification of the PCMs takes place in a cylindrical shell storage. The thickness of the solid PCM on the fin varies with time and is obtained by the Megerlin method. The models are found with the Bessel equation to form an analytical solution. Three different kinds of boundary conditions are investigated. The comparison between analytical and numerical solutions is given. The results demonstrate that the significant accuracy is obtained for the temperature distribution for the fin in all cases.

关键词: solidification, thermal energy storage, thermoelasticity, chaos, Melnikov function, Poincaré mapping, annular fin, analytical solution, Green’s function, phase change material (PCM)

Abstract: The Green’s function method is applied for the transient temperature of an annular fin when a phase change material (PCM) solidifies on it. The solidification of the PCMs takes place in a cylindrical shell storage. The thickness of the solid PCM on the fin varies with time and is obtained by the Megerlin method. The models are found with the Bessel equation to form an analytical solution. Three different kinds of boundary conditions are investigated. The comparison between analytical and numerical solutions is given. The results demonstrate that the significant accuracy is obtained for the temperature distribution for the fin in all cases.

Key words: annular fin, analytical solution, thermoelasticity, chaos, Melnikov function, Poincaré mapping, Green’s function, phase change material (PCM), solidification, thermal energy storage

中图分类号:

O241.8
O359

A. H. MOSAFFA;F. TALATI;M. A. ROSEN;H. BASIRAT-TABRIZI. Green’s function solution for transient heat conduction in annular fin during solidification of phase change material[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(10): 1265-1274.

参考文献

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Green’s function solution for transient heat conduction in annular fin during solidification of phase change material

Green’s function solution for transient heat conduction in annular fin during solidification of phase change material

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