双壁通道中液体的弯曲毛细不稳定性
Bendocapillary Instability of Liquid in a Flexible-Walled Channel
摘要：
研究了部分充满柔性壁通道的液滴的弯曲毛细管不稳定性。受实验的启发，其中出现的“编织”图案作为液滴慢慢地冷凝成可变形的微通道，我们开发了一个数学模型，这种不稳定性。我们描述的系统的平衡，并使用数值方法的组合，并在小通道壁偏转的极限渐近分析，阐明这种不稳定的关键特征。我们发现，配置总是不稳定的扰动足够小的波数，不稳定的增长率是高度敏感的液体在通道中的体积，润湿和非润湿配置是容易受到不稳定在同一个通道。深入了解新的界面不稳定性打开了控制的可能性，从而在工艺，如微加工开发。
英文摘要：
We study the bendocapillary instability of a liquid droplet that part fills a flexible walled channel. Inspired by experiments in which a `weaving' pattern emerges as droplets of liquid are condensed slowly into deformable microchannels, we develop a mathematical model of this instability. We describe equilibria of the system, and use a combination of numerical methods, and asymptotic analysis in the limit of small channel wall deflections, to elucidate the key features of this instability. We find that configurations are always unstable to perturbations of sufficiently small wavenumber, that the growth rate of the instability is highly sensitive to the volume of liquid in the channel, and that both wetting and non-wetting configurations are susceptible to the instability in the same channel. Insight into novel interfacial instabilities opens the possibility for their control and thus exploitation in processes such as microfabrication.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
