Mathematical modelling of Tyndall star initiation

Andrew Alfred Lacey, Matt Hennessy, Peter Harvey, Richard Katz

Research output: Contribution to journalArticle

1 Citation (Scopus)
40 Downloads (Pure)

Abstract

The superheating that usually occurs when a solid is melted by volumetric heating can produce irregular solid–liquid interfaces. Such interfaces can be visualised in ice, where they are sometimes known as Tyndall stars. This paper describes some of the experimental observations of Tyndall stars and a mathematical model for the early stages of their evolution. The modelling is complicated by the strong crystalline anisotropy, which results in an anisotropic kinetic undercooling at the interface; it leads to an interesting class of free boundary problems that treat the melt region as infinitesimally thin.
Original languageEnglish
Pages (from-to)615-645
Number of pages31
JournalEuropean Journal of Applied Mathematics
Volume26
Issue number5
Early online date12 Aug 2015
DOIs
Publication statusPublished - Oct 2015

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