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Contact angle dependence of the velocity of sliding cylindrical drop on flat substrates

机译:接触角与平面基底上滑动圆柱状液滴速度的关系

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摘要

Via numerical simulations, we investigate the dynamics of cylindrical drops on flat substrates. In agreement with the common understanding, in the limit of Stokes flow and negligible drop deformation, the drop's centre-of-mass velocity scales linearly with the applied force and with the second power of drop radius. In this paper, we go a step further and perform a detailed study of dissipation loss inside the drop. An important result is that the dominant part of viscous dissipation arises from the region below the drop's centre of mass. Based on this observation, we propose a simple analytic model which allows capturing the dependence of the steady-state drop velocity on the equilibrium contact angle. Simulation results are in good agreement with the predictions of this model.
机译:通过数值模拟,我们研究了在平坦基材上的圆柱形液滴的动力学。与通常的理解一致,在斯托克斯流量和液滴变形可以忽略的极限下,液滴的质心速度与所施加的力和液滴半径的二次方成线性比例。在本文中,我们将更进一步,并对液滴内部的耗散损耗进行详细研究。一个重要的结果是,粘性耗散的主要部分来自液滴质心以下的区域。基于此观察,我们提出了一个简单的分析模型,该模型可以捕获稳态液滴速度对平衡接触角的依赖性。仿真结果与该模型的预测吻合良好。

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