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Nonlinear Saffman-Taylor instability
Alvarez Lacalle, Enrique; Ortín, Jordi, 1959-; Casademunt i Viader, Jaume
Universitat de Barcelona
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.
2010-06-12
Dinàmica de fluids
Pertorbació (Dinàmica quàntica)
Fluid dynamics
Perturbation (Quantum dynamics)
(c) American Physical Society, 2004
Article
American Physical Society
         

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