Comptes Rendus
no. 7
Solid–liquid phase change driven by internal heat generation
John Crepeau1  ; Ali S. Siahpush2
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, Volume 340 (2012) no. 7, pp. 471-476.

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.

Publié le :
DOI : 10.1016/j.crme.2012.03.004
Mots clés : Stefan Problem, Internal heat generation, Scale analysis
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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John Crepeau; Ali S. Siahpush. Solid–liquid phase change driven by internal heat generation. Comptes Rendus. Mécanique, 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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