粗糙表面润湿的修正Wenzel和Cassie方程
Modified Wenzel and Cassie equations for wetting on rough surfaces
摘要：
研究了粗糙非均匀固体表面上的稳态润湿问题。利用渐近双尺度均匀化方法推导了一个新的表观接触角公式。该公式简化为一个修改的Wenzel方程几何粗糙表面和化学不均匀表面的修改Cassie方程。与经典的Wenzel和Cassie方程不同，修正后的方程对应于固-液-气体系总界面能的局部极小值，因此与实验观测结果一致.用变分方法严格证明了均匀化结果。
英文摘要：
We study a stationary wetting problem on rough and inhomogeneous solid surfaces. We derive a new formula for the apparent contact angle by asymptotic two-scale homogenization method. The formula reduces to a modified Wenzel equation for geometrically rough surfaces and a modified Cassie equation for chemically inhomogeneous surfaces. Unlike the classical Wenzel and Cassie equations, the modified equations correspond to local minimizers of the total interface energy in the solid-liquid-air system, so that they are consistent with experimental observations. The homogenization results are proved rigorously by a variational method.
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