Analysis of Wetting and Contact Angle Hysteresis on Chemically Patterned Surfaces
Analysis of Wetting and Contact Angle Hysteresis on Chemically Patterned Surfaces
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DOI：
10.1137/110829593
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发表时间：
2011-09
期刊：
影响因子：
--
通讯作者：
Xianmin Xu;Xiaoping Wang
中科院分区：
文献类型：
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作者：
Xianmin Xu;Xiaoping Wang
从非混相两相流体的固定相场模型出发，分析了二维化学图形表面的润湿和接触角滞后。我们首先用匹配渐近展开的方法研究了模型的锐界面极限。然后我们用$\Gamma$-收敛理论对相关变分问题进行了严格的证明，并研究了极限极小值的性质。结果还提供了界面平衡构型的清晰几何图像。这使我们能够明确地计算两相系统在具有简单几何形状的化学图案表面上的总表面能，即通道中的两相流动和液滴扩散。通过考虑由体积（或体积分数）的变化所描述的界面准静态运动，我们可以跟踪能量的变化，从而揭示界面的粘滑运动和接触角滞回的机理。
Wetting and contact angle hysteresis on chemically patterned surfaces in two dimensions are analyzed from a stationary phase-field model for immiscible two phase fluids. We first study the sharp-interface limit of the model by the method of matched asymptotic expansions. We then justify the results rigorously by the $\Gamma$-convergence theory for the related variational problem and study the properties of the limiting minimizers. The results also provide a clear geometric picture of the equilibrium configuration of the interface. This enables us to explicitly calculate the total surface energy for the two phase systems on chemically patterned surfaces with simple geometries, namely the two phase flow in a channel and the drop spreading. By considering the quasi-static motion of the interface described by the change of volume (or volume fraction), we can follow the change-of-energy landscape which also reveals the mechanism for the stick-slip motion of the interface and contact angle hysteresis on the che...