Mushy regions in negative squeeze films

J. R. Ockendon, S. D. Howison, A. A. Lacey

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

An elegant experiment described by Hayes and Feiten in 1964 suggests a novel free boundary model for the evolution of a mushy region in a negative squeeze film. The mushy region nucleates when the plates enclosing the film are pulled apart sufficiently rapidly for the pressure to drop to a critical value at some point of the film. On the basis of an earlier one-dimensional analysis, a complementarity model is proposed for quite general mush evolutions and a regularization of this model is studied analytically and numerically.

Original languageEnglish
Pages (from-to)361-379
Number of pages19
JournalQuarterly Journal of Mechanics and Applied Mathematics
Volume56
Issue number3
DOIs
Publication statusPublished - Aug 2003

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