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Film Dynamics and Lubricant Depletion by Droplets Moving on Lubricated Surfaces

机译:液滴在润滑表面上移动的薄膜动力学和润滑剂耗尽

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Lubricated surfaces have shown promise in numerous applications where impinging foreign droplets must be removed easily; however, before they can be widely adopted, the problem of lubricant depletion, which eventually leads to decreased performance, must be solved. Despite recent progress, a quantitative mechanistic explanation for lubricant depletion is still lacking. Here, we first explain the shape of a droplet on a lubricated surface by balancing the Laplace pressures across interfaces. We then show that the lubricant film thicknesses beneath, behind, and wrapping around a moving droplet change dynamically with the droplet’s speed—analogous to the classical Landau-Levich-Derjaguin problem. The interconnected lubricant dynamics results in the growth of the wetting ridge around the droplet, which is the dominant source of lubricant depletion. We then develop an analytic expression for the maximum amount of lubricant that can be depleted by a single droplet. Counterintuitively, faster-moving droplets subjected to higher driving forces deplete less lubricant than their slower-moving counterparts. The insights developed in this work will inform future work and the design of longer-lasting lubricated surfaces.
机译:润滑表面在众多应用中显示了必须容易地撞击外来液滴的许多应用中的承诺;然而,在它们可以被广泛采用之前,必须解决润滑剂耗尽问题,最终导致性能下降。尽管最近进展,但仍然缺乏对润滑剂枯竭的定量机制解释。在这里,我们首先通过平衡横跨界面的拉普拉斯压力来解释润滑表面上的液滴的形状。然后,我们展示了润滑膜厚度,后面和缠绕在移动的液滴周围,随着液滴的速度与古典的Landau-Levich-derjaguin问题动态变化。相互连接的润滑剂动力学导致液滴周围的润湿脊的生长,这是润滑剂耗竭的主要来源。然后,我们为可以通过单个液滴耗尽的最大润滑剂的分析表达。违反直接性的较快移动的液滴经受更高的驱动力耗尽的润滑剂比其较慢的移动对应物耗尽。这项工作中开发的见解将以未来的工作和更长持久的润滑表面的设计。

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