论文标题
Landau-Levich增强了Cheerios效应
Landau-Levich Enhanced Cheerios Effect
论文作者
论文摘要
我们研究了两个纤维从浴缸中动态撤回的毛细血管吸引力。我们提出了一种测量这种力的实验方法，并表明与静态情况相比，它的幅度随缩小速度的强烈增加了一个因子十。我们表明，这种显着的增加源于两个纤维之间动态弯月面的形状。我们首先研究了一根纤维周围的动力弯月面，并随着毛细血管数的增加而获得其大小的实验和数值缩放，这并未被经典的Landau-Landau-Levich-Levich-derjaguin理论捕获。然后，我们证明可以从单个光纤周围的界面的线性叠加来推断出两个光纤周围的变形空气界面的形状。这些结果对吸引力产生了分析表达，该表达式与实验数据进行了很好的比较。我们的研究揭示了缩回速度与工业或生物学中潜在的应用相互作用的缩回速度的关键作用。
We study the capillary attraction force between two fibers dynamically withdrawn from a bath. We propose an experimental method to measure this force and show that its magnitude strongly increases with the retraction speed by up to a factor ten compared to the static case. We show that this remarkable increase stems from the shape of the dynamical meniscus between the two fibers. We first study the dynamical meniscus around one fiber, and obtain experimental and numerical scaling of its size increase with the capillary number, which is not captured by the classical Landau-Levich-Derjaguin theory. We then show that the shape of the deformed air-liquid interface around two fibers can be inferred from the linear superposition of the interface around a single fiber. These results yield an analytical expression for the attraction which compares well with the experimental data. Our study reveals the critical role of the retraction speed to create stronger capillary interactions, with potential applications in industry or biology.
