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arXiv 2009.02512physics.flu-dyn
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光滑化学图形上液滴蒸发的控制

Control of droplet evaporation on smooth chemical patterns

Michael Ewetola, Rodrigo Ledesma-Aguilar, Marc Pradas

摘要:

本文研究了二维液滴在固体表面上的蒸发。固体是平坦的,但具有平滑的化学变化,这导致空间依赖性局部接触角。我们进行了详细的分岔分析的液滴的平衡特性,因为它的大小是变化的,观察到的分岔,强烈依赖于特定的底层化学模式的层次结构的出现。对称和周期性的图案导致一系列的干草叉和鞍节点分叉,使稳定的解决方案成为鞍节点。在动态条件下,这种变化的不稳定性表明,在系统中的任何扰动可以使液滴横向移动,同时放松到最近的稳定点,这是由Cahn-Hilliard和Navier-Stokes方程组的数值计算证实。我们还考虑具有振幅梯度的图案,其在溶液空间中创建一组断开的稳定分支,从而导致蒸发时液滴位置的连续变化。

英文摘要:

We investigate the evaporation of a two-dimensional droplet on a solid surface. The solid is flat but with smooth chemical variations that lead to a space-dependent local contact angle. We perform a detailed bifurcation analysis of the equilibrium properties of the droplet as its size is changed, observing the emergence of a hierarchy of bifurcations that strongly depends on the particular underlying chemical pattern. Symmetric and periodic patterns lead to a sequence of pitchfork and saddle-node bifurcations that make stable solutions to become saddle nodes. Under dynamic conditions, this change instability suggests that any perturbation in the system can make the droplet to shift laterally while relaxing to the nearest stable point, as is confirmed by numerical computations of the Cahn-Hilliard and Navier-Stokes system of equations. We also consider patterns with an amplitude gradient that creates a set of disconnected stable branches in the solution space, leading to a continuous change of the droplet's location upon evaporation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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