Discrete families of Saffman-Taylor fingers with exotic shapes

被引：9

作者：

Gardiner, Bennett P. J. ^{[1
]}

McCue, Scott W. ^{[1
]}

Moroney, Timothy J. ^{[1
]}

机构：

[1] Queensland Univ Technol, Math Sci, Brisbane, Qld 4000, Australia

来源：

RESULTS IN PHYSICS | 2015年 / 5卷

基金：

澳大利亚研究理事会;

关键词：

Hele-Shaw flows; Saffman-Taylor instability; Viscous fingering; HELE-SHAW CELL; SURFACE-TENSION; SELECTION;

D O I：

10.1016/j.rinp.2015.04.002

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The mathematical problem of determining the shape of a steadily propagating Saffman-Taylor finger in a rectangular Hele-Shaw cell is known to have a countably infinite number of solutions for each fixed surface tension value. For sufficiently large surface tension values, we find that fingers on higher solution branches are non-convex. The tips of the fingers have increasingly exotic shapes as the branch number increases. (C) 2015 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

引用

页码：103 / 104

页数：2

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