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 | |
| Publication status | Published - Aug 2003 |
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Ockendon, J. R., Howison, S. D., & Lacey, A. A. (2003). Mushy regions in negative squeeze films. Quarterly Journal of Mechanics and Applied Mathematics, 56(3), 361-379. https://doi.org/10.1093/qjmam/56.3.361