Mathematical Modelling of Phase Change with a Flowing Thin Film

Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 17)

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.

Keywords

Phase Change Material Stefan Problem Perturbation Solution Vapour Layer Contact Melting 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Centre de Recerca Matemàtica, Edifici CBellaterraBarcelona
  2. 2.MACSI, Department of Mathematics and StatisticsUniversity of LimerickLimerickIreland

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