Mushy regions in negative squeeze films

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

doi:10.1093/qjmam/56.3.361

Mushy regions in negative squeeze films

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

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	361-379
Number of pages	19
Journal	Quarterly Journal of Mechanics and Applied Mathematics
Volume	56
Issue number	3
DOIs	https://doi.org/10.1093/qjmam/56.3.361
Publication status	Published - Aug 2003

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10.1093/qjmam/56.3.361

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title = "Mushy regions in negative squeeze films",

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.",

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AU - Howison, S. D.

AU - Lacey, A. A.

PY - 2003/8

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N2 - 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.

AB - 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.

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DO - 10.1093/qjmam/56.3.361

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VL - 56

SP - 361

EP - 379

JO - Quarterly Journal of Mechanics and Applied Mathematics

JF - Quarterly Journal of Mechanics and Applied Mathematics

IS - 3

ER -

Mushy regions in negative squeeze films

Abstract

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