Equilibrium Shapes and Their Stability for Liquid Films in Fast Flows

Equilibrium Shapes and Their Stability for Liquid Films in Fast Flows
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快速流动中液膜的平衡形状及其稳定性

DOI:
10.1103/physrevlett.121.094501
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发表时间:
2018
影响因子:
8.6
通讯作者:
Ristroph, Leif
Ristroph, Leif
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Ganedi, Likhit;Oza, Anand U.;Shelley, Michael;Ristroph, Leif

文献摘要

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通过实验和模型研究了悬浮液膜在外部流作用下的变形过程。我们确定了一个家庭的非最小的,但稳定的平衡形状的流速超过一个临界值的膜膨胀不稳定,和模型占所观察到的非线性变形和力。解图中的鞍结或折叠分叉表明,高速时气泡的形成是由于平衡的丧失,而低速时则是由于过度膨胀形状的稳定性丧失。
We study how a suspended liquid film is deformed by an external flow en route to forming a bubble through experiments and a model. We identify a family of nonminimal but stable equilibrium shapes for flow speeds up to a critical value beyond which the film inflates unstably, and the model accounts for the observed nonlinear deformations and forces. A saddle-node or fold bifurcation in the solution diagram suggests that bubble formation at high speeds results from the loss of equilibrium and at low speeds from the loss of stability for overly inflated shapes.