THE SPATIAL STRUCTURE OF BUBBLE PINCH-OFF

被引：6
|
作者：
Fontelos, M. A. [1 ]
Snoeijer, J. H. [2 ]
Eggers, J. [3 ]
机构：
[1] CSIC UAM UCM UC3M, Inst Ciencias Matemat ICMAT, Madrid 28006, Spain
[2] Univ Twente, Phys Fluids Grp, NL-7500 AE Enschede, Netherlands
[3] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon, England
来源：
SIAM JOURNAL ON APPLIED MATHEMATICS | 2011年 / 71卷 / 05期
关键词：
capillary breakup; finite-time singularities; DROP FORMATION; DYNAMICS; FLOW;
D O I：
10.1137/090776470
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 is controlled by scaling exponents which are slowly varying in time. To leading order, these results did not require the spatial profile of the interface near break-up. Here we refine our previous analysis by computing the entire shape of the neck. The neck shape is characterized by similarity functions that are also slowly varying on a logarithmic scale. We compare these results to experiments and find agreement within the experimentally accessible range. More detailed confirmation of the asymptotic analysis is provided by the excellent agreement with numerical simulations of the bubble pinch-off.
引用
收藏
页码：1696 / 1716
页数：21
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