Suppression of Complex Fingerlike Patterns at the Interface between Air and a Viscous Fluid by Elastic Membranes

Suppression of Complex Fingerlike Patterns at the Interface between Air and a Viscous Fluid by Elastic Membranes
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DOI:
10.1103/physrevlett.108.074502
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发表时间:
2012-02-14
影响因子:
8.6
通讯作者:
Juel, A.
Juel, A.
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Pihler-Puzovic, D.;Illien, P.;Juel, A.

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在两个平行板之间的狭窄间隙中,在空气和粘性流体的界面处生长复杂的树枝状指状物是图案形成的典型问题。我们发现了一个令人惊讶的有效手段来抑制这种不稳定性,用弹性膜代替其中一个板。由此产生的流体-结构相互作用从根本上改变了界面的发展模式,并大大推迟了指进的发生。我们分析了不稳定性对系统参数的依赖性,并提出了标度参数来解释实验观察到的行为。
Growth of complex dendritic fingers at the interface of air and a viscous fluid in the narrow gap between two parallel plates is an archetypical problem of pattern formation. We find a surprisingly effective means of suppressing this instability by replacing one of the plates with an elastic membrane. The resulting fluid-structure interaction fundamentally alters the interfacial patterns that develop and considerably delays the onset of fingering. We analyze the dependence of the instability on the parameters of the system and present scaling arguments to explain the experimentally observed behavior.