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Nonlinear Saffman-Taylor instability | | E Alvarez-Lacalle
; J Ortín
; J Casademunt
; | | Date: |
6 Feb 2004 | | Journal: | Phys Rev Lett, 92 (5), 054501 | | 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. | | Source: | PubMed, pmid14995309 | | Services: | Forum | Review | Favorites | |
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