论文标题
在柔性壁通道中液体的弯曲毛细血管不稳
Bendocapillary Instability of Liquid in a Flexible-Walled Channel
论文作者
论文摘要
我们研究液滴的弯曲毛细血管不稳定，该液滴填充了柔性围绕通道。受到实验的启发，在该实验中，当液体的液滴凝结成可变形的微通道中，我们就会形成“编织”模式，我们开发了这种不稳定性的数学模型。我们描述了系统的均衡，并结合了数值方法的组合以及小通道壁偏转极限的渐近分析，以阐明这种不稳定性的关键特征。我们发现，构型始终对足够小的波数的扰动不稳定，即不稳定性的生长速率对通道中液体的体积高度敏感，并且润湿和非润湿构型都对同一通道中的不稳定性敏感。对新型界面不稳定性的洞察力为它们的控制带来了可能性，从而在诸如微分化之类的过程中剥削。
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.
