Instability of a gravity current within a soap film
Instability of a gravity current within a soap film
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皂膜内重力流的不稳定性
DOI：
10.1017/jfm.2014.395
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发表时间：
2014
影响因子：
3.7
通讯作者：
Goldstein R
中科院分区：
文献类型：
--
作者：
Goldstein R
研究由高原边界连接的两个肥皂膜之间的流体流动的最简单的几何形状之一是由在其最西端处具有第二膜的悬链提供的。支撑悬链的两个环之间的间距的动态变化导致初级膜和次级膜之间的流体流动。当环移动分开时，同时保持它们的间距在膜的总体稳定范围内，在次级膜快速增厚之后，其中的过量流体开始通过它们相遇的平台边界排入倾斜的初级膜。这种流体的流入通过初级膜的局部增厚来调节。这里描述的实验表明，这种排水开始后，重力流的前缘变得线性不稳定的有限波长指不稳定。基于润滑理论的理论模型被用来解释这种不稳定性的机制。预测的特征波长的不稳定性示出与实验结果吻合得很好。由于重力流推进到一个有限的，虽然微观的，厚度的薄膜，这种情况下，经常调用的正则化来解决在一个薄膜的鼻子奇点是物理上合理的。
One of the simplest geometries in which to study fluid flow between two soap films connected by a Plateau border is provided by a catenoid with a secondary film at its narrowest point. Dynamic variations in the spacing between the two rings supporting the catenoid lead to fluid flow between the primary and secondary films. When the rings are moved apart, while keeping their spacing within the overall stability regime of the films, after a rapid thickening of the secondary film the excess fluid in it starts to drain into the sloped primary film through the Plateau border at which they meet. This influx of fluid is accommodated by a local thickening of the primary film. Experiments described here show that after this drainage begins the leading edge of the gravity current becomes linearly unstable to a finite-wavelength fingering instability. A theoretical model based on lubrication theory is used to explain the mechanism of this instability. The predicted characteristic wavelength of the instability is shown to be in good agreement with experimental results. Since the gravity current advances into a film of finite, albeit microscopic, thickness this situation is one in which the regularization often invoked to address singularities at the nose of a thin film is physically justified.
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DOI：
10.1073/pnas.1406385111
发表时间：
2014
期刊：
Proceedings of the National Academy of Sciences
影响因子：
--
作者：
Goldstein R
通讯作者：
Goldstein R
DOI：
--
发表时间：
2015
期刊：
影响因子：
--
作者：
J. Seiwert;M. Monloubou;B. Dollet;I. Cantat
通讯作者：
I. Cantat
皂膜桥毛细管塌陷和气泡夹断过程中奇点形成的观察
影响因子：
9.9
作者：
N. Robinson;P. Steen
通讯作者：
P. Steen
缓慢变化的斜度上的粘性细流的流动
DOI：
10.1016/0923-0467(95)03030-1
发表时间：
1995
期刊：
The Chemical Engineering Journal and The Biochemical Engineering Journal
影响因子：
--
作者：
B. Duffy;H. K. Moffatt
通讯作者：
H. K. Moffatt
表面张力驱动的薄膜流动
DOI：
--
发表时间：
1996
期刊：
影响因子：
--
作者：
T. Myers
通讯作者：
T. Myers