论文标题
法拉第波的接触线剪切梯度引起流动流和示踪剂的自组织:从旋转环到类似螺旋星系的模式
Faraday-waves contact-line shear gradient induces streaming flow and tracers' self-organization: from rotating rings to spiral galaxy-like patterns
论文作者
论文摘要
在这封信中,我们在狭窄的容器中实验表明,在纵向法拉第波的作用下,小示踪剂的自组织。我们观察到一个稳定的电流形成,将界面划分为小细胞的界面,由法拉第波的对称性给出。这些流电流在每个细胞中旋转,它们的循环随波幅度而增加。这种流动流动驱动示踪剂形成图案,其形状取决于法拉第波的幅度:从低振幅到高振幅,我们发现分散的示踪剂,狭窄的旋转环和类似螺旋的星系状模式。我们首先描述主要模式特征,并表征波浪和示踪剂的运动。然后,我们通过实验表明,流动流的主要来源来自于法拉第波本身创建的墙壁接触线的时间和空间依赖剪切。我们最终提出了一个2D模型,该模型考虑了法拉第实验中存在的最小成分,即固定循环,由于振荡波和稳定的收敛场引起的拉伸成分,它们结合产生观察到的自组织模式。
In this letter we experimentally demonstrate self-organization of small tracers under the action of longitudinal Faraday waves in a narrow container. We observe a steady current formation dividing the interface in small cells given by the symmetries of the Faraday wave. These streaming currents are rotating in each cell and their circulation increases with wave amplitude. This streaming flow drives the tracers to form patterns, whose shapes depend on the Faraday wave's amplitude: from low to high amplitudes we find dispersed tracers, a narrow rotating ring and a spiral galaxy-like pattern. We first describe the main pattern features, and characterize the wave and tracers' motion. We then show experimentally that the main source of the streaming flow comes from the time and spatial dependent shear at the wall contact line, created by the Faraday wave itself. We end by presenting a 2D model that considers the minimal ingredients present in the Faraday experiment, namely the stationary circulation, the stretching component due to the oscillatory wave and a steady converging field, which combined produce the observed self-organized patterns.