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Heat conduction equation solution in the presence of a change of state in a bounded axisymmetric cylindrical domain / Danillo Silva de Oliveira in Journal of heat transfer, Vol. 133 N° 6 (Juin 2011) 

Public ISBD [article]  in Journal of heat transfer > Vol. 133 N° 6 (Juin 2011) . - pp. [062301/1-7] Titre : Heat conduction equation solution in the presence of a change of state in a bounded axisymmetric cylindrical domain Type de document : texte imprimé Auteurs : Danillo Silva de Oliveira, Auteur ; Fernando Brenha Ribeiro, Auteur Année de publication : 2011 Article en page(s) : pp. [062301/1-7] Note générale : Physique Langues : Anglais (eng) Mots-clés : Heat  conduction  Moving  boundary  Stefan  problem  Cylindical  layer Index. décimale : 536 Chaleur. Thermodynamique Résumé : The heat conduction problem, in the presence of a change of state, was solved for the case of an indefinitely long cylindrical layer cavity. As boundary conditions, it is imposed that the internal surface of the cavity is maintained below the fusion temperature of the infilling substance and the external surface is kept above it. The solution, obtained in nondimensional variables, consists in two closed form heat conduction equation solutions for the solidified and liquid regions, which formally depend of the, at first, unknown position of the phase change front. The energy balance through the phase change front furnishes the equation for time dependence of the front position, which is numerically solved. Substitution of the front position for a particular instant in the heat conduction equation solutions gives the temperature distribution inside the cavity at that moment. The solution is illustrated with numerical examples. DEWEY : 536 ISSN : 0022-1481 En ligne : http://asmedl.aip.org/vsearch/servlet/VerityServlet?KEY=JHTRAO&ONLINE=YES&smode= [...] [article] Heat conduction equation solution in the presence of a change of state in a bounded axisymmetric cylindrical domain [texte imprimé] / Danillo Silva de Oliveira, Auteur ; Fernando Brenha Ribeiro, Auteur . - 2011 . - pp. [062301/1-7]. Physique Langues : Anglais (eng) in Journal of heat transfer > Vol. 133 N° 6 (Juin 2011) . - pp. [062301/1-7] Mots-clés : Heat  conduction  Moving  boundary  Stefan  problem  Cylindical  layer Index. décimale : 536 Chaleur. Thermodynamique Résumé : The heat conduction problem, in the presence of a change of state, was solved for the case of an indefinitely long cylindrical layer cavity. As boundary conditions, it is imposed that the internal surface of the cavity is maintained below the fusion temperature of the infilling substance and the external surface is kept above it. The solution, obtained in nondimensional variables, consists in two closed form heat conduction equation solutions for the solidified and liquid regions, which formally depend of the, at first, unknown position of the phase change front. The energy balance through the phase change front furnishes the equation for time dependence of the front position, which is numerically solved. Substitution of the front position for a particular instant in the heat conduction equation solutions gives the temperature distribution inside the cavity at that moment. The solution is illustrated with numerical examples. DEWEY : 536 ISSN : 0022-1481 En ligne : http://asmedl.aip.org/vsearch/servlet/VerityServlet?KEY=JHTRAO&ONLINE=YES&smode= [...]