dc.contributor.author |
Myers, T.G. |
dc.contributor.author |
Mitchell, S.L. |
dc.date.accessioned |
2020-10-14T12:36:01Z |
dc.date.available |
2020-10-14T12:36:01Z |
dc.date.issued |
2012-01-01 |
dc.identifier.uri |
http://hdl.handle.net/2072/377560 |
dc.format.extent |
6 p. |
dc.language.iso |
eng |
dc.relation.ispartof |
CRM Preprints |
dc.rights |
L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons:http://creativecommons.org/licenses/by-nc-nd/4.0/ |
dc.source |
RECERCAT (Dipòsit de la Recerca de Catalunya) |
dc.subject.other |
Matemàtiques |
dc.title |
Mathematical modelling of phase change with a flowing thin film |
dc.type |
info:eu-repo/semantics/preprint |
dc.subject.udc |
51 - Matemàtiques |
dc.embargo.terms |
cap |
dc.rights.accessLevel |
info:eu-repo/semantics/openAccess |
dc.description.abstract |
This paper concerns the practical applications and modelling of Stefan problems with a flowing thin liquid layer. The modelling will be discussed in the context of two practically important scenarios, Leidenfrost (when a liquid droplet floats above a hot surface) and contact melting. The governing equations will be derived and then reduced to a more tractable system. Along the way we will introduce an accurate variant of the Heat Balance Integral Method, which allows us to approximate the solution to the Stefan problem on a finite domain. In both cases excellent agreement between the model results and experimental data will be demonstrated. |