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Contact angle hysteresis on superhydrophobic stripes

机译:超疏水条纹上的接触角滞后

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We study experimentally and discuss quantitatively the contact angle hysteresis on striped superhydrophobic surfaces as a function of a solid fraction, φ_S. It is shown that the receding regime is determined by a longitudinal sliding motion of the deformed contact line. Despite an anisotropy of the texture the receding contact angle remains isotropic, i.e., is practically the same in the longitudinal and transverse directions. The cosine of the receding angle grows nonlinearly with φ_S. To interpret this we develop a theoretical model, which shows that the value of the receding angle depends both on weak defects at smooth solid areas and on the strong defects due to the elastic energy of the deformed contact line, which scales as φ_S~2 ln φ_S. The advancing contact angle was found to be anisotropic, except in a dilute regime, and its value is shown to be determined by the rolling motion of the drop. The cosine of the longitudinal advancing angle depends linearly on φ_S, but a satisfactory fit to the data can only be provided if we generalize the Cassie equation to account for weak defects. The cosine of the transverse advancing angle is much smaller and is maximized at φ_S similar, equals 0.5. An explanation of its value can be obtained if we invoke an additional energy due to strong defects in this direction, which is shown to be caused by the adhesion of the drop on solid sectors and is proportional to φ_S~2. Finally, the contact angle hysteresis is found to be quite large and generally anisotropic, but it becomes isotropic when φ_S≤ 0.2.
机译:我们进行实验研究,并定量讨论条纹状超疏水表面上的接触角滞后随固相分数φ_S的变化。示出了后退状态由变形的接触线的纵向滑动运动确定。尽管织构是各向异性的,但后退接触角仍是各向同性的,即在纵向和横向上实际上是相同的。后退角度的余弦值随φ_S非线性增长。为了解释这一点,我们建立了一个理论模型,该模型表明后退角的值不仅取决于光滑实体区域上的弱缺陷,而且取决于变形接触线的弹性能所导致的强缺陷,其缩放比例为φ_S〜2 ln φ_S。发现前进接触角是各向异性的,除了在稀薄状态外,其值由液滴的滚动运动确定。纵向前进角的余弦值与φ_S线性相关,但是只有当我们推广Cassie方程以解决弱缺陷时,才能为数据提供令人满意的拟合。横向前进角的余弦要小得多,并且在φ_S相近时最大,等于0.5。如果我们由于该方向上的强缺陷而调用附加能量,则可以得到其值的解释,这表明是由于液滴附着在固体扇区上引起的,并且与φ_S〜2成正比。最后,发现接触角磁滞很大,并且通常是各向异性的,但是当φ_S≤0.2时,它变为各向同性的。

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