Energy conservation in the one-phase supercooled Stefan problem

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Title:	Energy conservation in the one-phase supercooled Stefan problem
Author:	Myers, Timothy; Mitchell, Sarah Louise; Font Clos, Francesc
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtiques
Abstract:	© . This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Abstract:	A one-phase reduction of the one-dimensional two-phase supercooled Stefan problem is developed. The standard reduction, employed by countless authors, does not conserve energy and a recent energy conserving form is valid in the limit of small ratio of solid to liquid conductivity. The present model assumes this ratio to be large and conserves energy for physically realistic parameter values. Results for three one-phase formulations are compared to the two-phase model for parameter values appropriate to supercooled salol (similar values apply to copper and gold) and water. The present model shows excellent agreement with the full two-phase model.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística -Phase change -Stefan problem -Energy conservation -Supercooling -Kinetic undercooling -Classificació AMS::70 Mechanics of particles and systems::70B Kinematics
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Submitted version Article
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