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Sessile Droplets on Deformable Substrates

机译：可变形基板上的无滴

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Wetting of deformable substrates has gained significant interest over the past decade due to a multiplicity of industrial and biological applications. Technological advances in the area of interfacial science have given rise to the ability to capture interfacial behavior between a liquid droplet and an elastic substrate. Researchers have developed several theories to explain the interaction between the two phases and describe the process of wetting of deformable/soft substrates. A summary of the most recent advances on static wetting of deformable substrates is given in this review. It is demonstrated that action of surface forces (disjoining/conjoining pressure) near the apparent three-phase contact line should be considered. Any consideration of equilibrium droplets on deformable (as well as on non-deformable) substrates should be based on consideration of the excess free energy of the system. The equilibrium shapes of both droplet and deformable substrate should correspond to the minimum of the excess free energy of the system. It has never been considered in the literature that the obtained equilibrium profiles must satisfy sufficient Jacobia??s condition. If Jacobia??s condition is not satisfied, it is impossible to claim that the obtained solution really corresponds to equilibrium. In recently published studies, equilibrium of droplets on deformable substrates: (1) provided a solution that corresponds to the minimum of the excess free energy; and (2) the obtained solution satisfies the Jacobia??s condition. Based on consideration of disjoining/conjoining pressure acting in the vicinity of the apparent three-phase contact line, the hysteresis of contact angle of sessile droplets on deformable substrates is considered. It is shown that both advancing and receding contact angles decrease as the elasticity of the substrate is increased and the effect of disjoining/conjoining pressure is discussed. Fluid inside the droplet partially wets the deformable substrate. It is shown that just these forces coupled with the surface elasticity determine the deformation of the deformable substrates.
机译：由于工业和生物应用的多样性，可变形基板的润湿在过去十年中引起了人们的极大兴趣。界面科学领域的技术进步已引起捕获液滴和弹性基质之间界面行为的能力。研究人员已经开发了几种理论来解释两个阶段之间的相互作用，并描述了可变形/柔软衬底的润湿过程。这篇综述总结了可变形基板静态润湿的最新进展。已经证明，应考虑在视在三相接触线附近的表面力（分离/结合压力）的作用。对可变形（以及不可变形）基板上的平衡液滴的任何考虑都应基于对系统多余自由能的考虑。液滴和可变形基底的平衡形状应对应于系统多余自由能的最小值。在文献中从未考虑过所获得的平衡曲线必须满足足够的雅可比条件。如果不满足雅可比的条件，则不可能声称所获得的解确实对应于平衡。在最近发表的研究中，液滴在可变形基底上的平衡：（1）提供了一种与过量自由能中的最小值相对应的解决方案; （2）得到的解满足雅可比条件。基于作用在表观三相接触线附近的分离/结合压力的考虑，考虑了可变形基质上无滴的接触角的滞后现象。结果表明，随着基底弹性的增加，前进和后退接触角均减小，并且讨论了分离/接合压力的效果。液滴内部的流体会部分润湿可变形基板。结果表明，仅这些力加上表面弹性就决定了可变形基板的变形。

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