Nonlinear Saffman-Taylor instability.
Phys Rev Lett
; 92(5): 054501, 2004 Feb 06.
Article
em En
| MEDLINE
| ID: mdl-14995309
ABSTRACT
We show, both theoretically and experimentally, that the interface between two viscous fluids in a Hele-Shaw cell can be nonlinearly unstable before the Saffman-Taylor linear instability point is reached. We identify the family of exact elastica solutions [Nye et al., Eur. J. Phys. 5, 73 (1984)]] as the unstable branch of the corresponding subcritical bifurcation which ends up at a topological singularity defined by interface pinchoff. We devise an experimental procedure to prepare arbitrary initial conditions in a Hele-Shaw cell. This is used to test the proposed bifurcation scenario and quantitatively asses its practical relevance.
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01-internacional
Base de dados:
MEDLINE
Idioma:
En
Ano de publicação:
2004
Tipo de documento:
Article