The spatial structure of bubble pinch-off
Entidad
UAM. Departamento de MatemáticasEditor
Society for Industrial and Applied MathematicsFecha de edición
2011-09-22Cita
10.1137/090776470
SIAM Journal on Applied Mathematics 71.5 (2011): 1696-1716
ISSN
0036-1399DOI
10.1137/090776470Financiado por
This author’s work was supported by a Marie Curie European Fellowship FP6 (MEIF-CT2006-025104).Versión del editor
http://dx.doi.org/10.1137/090776470Materias
Capillary breakup; Finite-time singularities; MatemáticasDerechos
© 2011 Society for Industrial and Applied MathematicsResumen
We have previously found [J. Eggers, M. A. Fontelos, D. Leppinen, and J. H. Snoeijer, Phys. Rev. Lett. , 98 (2007), 094502] that the pinch-off of a gas bubble in an inviscid environment iscontrolled by scaling exponents which are slowly varying in time. To leading order, these results didnot require the spatial profile of the interface near break-up. Here we refine our previous analysis bycomputing the entire shape of the neck. The neck shape is characterized by similarity functions thatare also slowly varying on a logarithmic scale. We compare these results to experiments and findagreement within the experimentally accessible range. More detailed confirmation of the asymptoticanalysis is provided by the excellent agreement with numerical simulations of the bubble pinch-off
Lista de ficheros
Google Scholar:Fontelos, M. A.
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Snoeijer, J. H.
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Eggers, J.
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