Solid–liquid phase change driven by internal heat generation

John Crepeau; Ali S. Siahpush

doi:10.1016/j.crme.2012.03.004

Solid–liquid phase change driven by internal heat generation

John Crepeau ¹ ; Ali S. Siahpush ²

¹ Department of Mechanical Engineering, PO Box 440902, University of Idaho, Moscow, ID 83844-0902, USA
² Idaho National Laboratory, PO Box 1625, MS 3760, Idaho Falls, ID 83415-3760, USA

Comptes Rendus. Mécanique, Analytical and innovative solutions for heat transfer problems involving phase change and interfaces, Volume 340 (2012) no. 7, pp. 471-476.

Abstract

This article presents results of solid–liquid phase change, the Stefan Problem, where melting is driven internal heat generation, in a cylindrical geometry. The comparison between a quasi-static analytical solution for Stefan numbers less than one and numerical solutions shows good agreement. The computational results of phase change with internal heat generation show how convection cells form in the liquid region. A scale analysis of the same problem shows four distinct regions of the melting process.

Published online: 2012-05-02

DOI: 10.1016/j.crme.2012.03.004

Keywords: Stefan Problem, Internal heat generation, Scale analysis

Author's affiliations:

John Crepeau ¹; Ali S. Siahpush ²

¹ Department of Mechanical Engineering, PO Box 440902, University of Idaho, Moscow, ID 83844-0902, USA
² Idaho National Laboratory, PO Box 1625, MS 3760, Idaho Falls, ID 83415-3760, USA

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     title = {Solid{\textendash}liquid phase change driven by internal heat generation},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {471--476},
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     language = {en},
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John Crepeau; Ali S. Siahpush. Solid–liquid phase change driven by internal heat generation. Comptes Rendus. Mécanique, Analytical and innovative solutions for heat transfer problems involving phase change and interfaces, Volume 340 (2012) no. 7, pp. 471-476. doi : 10.1016/j.crme.2012.03.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2012.03.004/

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