Mushy Regions in Negative Squeeze Films

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...

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Bibliographic Details
Published in:Quarterly journal of mechanics and applied mathematics 2003-08, Vol.56 (3), p.361-379
Main Authors: Ockendon, J. R., Howison, S. D., Lacey, A. A.
Format: Article
Language:English
Subjects:
Applied sciences
Cavitation
Drops and bubbles
Exact sciences and technology
Fluid dynamics
Friction, wear, lubrication
Fundamental areas of phenomenology (including applications)
Machine components
Mechanical engineering. Machine design
Nonhomogeneous flows
Physics
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Summary: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.
ISSN:0033-5614
1464-3855
DOI:10.1093/qjmam/56.3.361