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

Access to Document

10.1093/qjmam/56.3.361

Cite this

@article{dce58bc54ae945289cdf3b6d0a2d28fb,

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.",

author = "Ockendon, \{J. R.\} and Howison, \{S. D.\} and Lacey, \{A. A.\}",

year = "2003",

month = aug,

doi = "10.1093/qjmam/56.3.361",

language = "English",

volume = "56",

pages = "361--379",

journal = "Quarterly Journal of Mechanics and Applied Mathematics",

issn = "1464-3855",

publisher = "Oxford University Press",

number = "3",

}

TY - JOUR

T1 - Mushy regions in negative squeeze films

AU - Ockendon, J. R.

AU - Howison, S. D.

AU - Lacey, A. A.

PY - 2003/8

Y1 - 2003/8

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.

UR - https://www.scopus.com/pages/publications/0038383168

U2 - 10.1093/qjmam/56.3.361

DO - 10.1093/qjmam/56.3.361

M3 - Article

SN - 1464-3855

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

Access to Document

Other files and links

Fingerprint

Cite this