Green’s Function Solution for Transient Heat Conduction in an Annular Fin During Solidification of a PCM

A.H.Mosaffa; F.Talati; M.A.Rosen; H.Basirat Tabrizi

doi:10.3879/j.issn.1000-0887.2012.10.004

Volume 33 Issue 10

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A.H.Mosaffa, F.Talati, M.A.Rosen, H.Basirat Tabrizi. Green’s Function Solution for Transient Heat Conduction in an Annular Fin During Solidification of a PCM[J]. Applied Mathematics and Mechanics, 2012, 33(10): 1180-1188. doi: 10.3879/j.issn.1000-0887.2012.10.004

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Green’s Function Solution for Transient Heat Conduction in an Annular Fin During Solidification of a PCM

doi: 10.3879/j.issn.1000-0887.2012.10.004

¹Faculty of Mechanical Engineering, University of Tabriz, Iran;²Faculty of Engineering and Applied Science, University of Ontario Institute of Technology, Oshawa, ON, L1H7K4, Canada;³Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran

Received Date: 2011-10-08
Rev Recd Date: 2011-12-15
Publish Date: 2012-10-15

Abstract

Abstract

Green’s function method was applied for the transient temperature of an annular fin when a phase change material solidified on it. The solidification of the phase change materials (PCM) took place in a cylindrical shell storage. The thickness of solid PCM on the fin varied with time and was obtained by the Megerlin method. The models were found by the Bessel equation to form an analytical solution. Three different kinds of boundary conditions were investigated. A comparison of analytical and numerical solutions was given. The results demonstrate that significant accuracy is attained for the temperature distribution for the fin in all cases.
- annular fin,
- analytical solution,
- Green’s function,
- PCM,
- solidification,
- thermal energy storage

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References(18)

References

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