| Green’s function solution for transient heat conduction in annular fin during solidification of phase change material |
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| 作者姓名： | A.H.MOSAFFA F.TALATI M.A.ROSEN H.BASIRAT-TABRIZI |
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| 作者单位： | Faculty of Mechanical Engineering,University of Tabriz;Faculty of Engineering and Applied Science,University of Ontario Institute of Technology,L1H 7K4 Oshawa,Ontario,Canada;Department of Mechanical Engineering,Amirkabir University of Technology |
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| 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.
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| 关 键 词： | solidification thermal energy storage thermoelasticity chaos Melnikov function Poincaré mapping annular fin analytical solution Green’s function phase change material (PCM) |
| 收稿时间： | 2011-10-08 |
Green’s function solution for transient heat conduction in annular fin during solidification of phase change material |
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| 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. |
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| Authors: | A H Mosaffa F Talati M A Rosen H Basirat-Tabrizi |
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| Institution: | 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 |
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| 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. |
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| Keywords: | annular fin analytical solution thermoelasticity chaos Melnikov function Poincaré mapping Green’s function phase change material (PCM) solidification thermal energy storage |
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