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 |