Títol:
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Nonlinear Saffman-Taylor instability
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Autor/a:
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Alvarez Lacalle, Enrique; Ortín, Jordi, 1959-; Casademunt i Viader, Jaume
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Altres autors:
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Universitat de Barcelona |
Abstract:
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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. |
Matèries:
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-Dinàmica de fluids -Pertorbació (Dinàmica quàntica) -Fluid dynamics -Perturbation (Quantum dynamics) |
Drets:
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(c) American Physical Society, 2004
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Tipus de document:
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Article Article - Versió publicada |
Publicat per:
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American Physical Society
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