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arXiv 2203.00322cond-mat.softphysics.class-ph
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软基上的增强浸涂

Enhanced Dip Coating on a Soft Substrate

Vincent Bertin, Jacco Snoeijer, Elie Raphaël, Thomas Salez

摘要:

从液池中取出的固体夹带着一层薄液膜。这个简单的过程,首先由Landau,Levich和Derjaguin(LLD)描述,在日常生活中经常观察到。它在动物捕获液体方面也起着核心作用,并广泛用于工业中的表面涂层。出于新兴的兴趣在力学非常软的材料,特别是由此产生的弹性毛细耦合,我们开发了一个浸涂模型,占额外存在的软固体层的刚性板顶部。这个软层的弹性响应由Winkler地基描述。使用数值,缩放和渐近匹配的方法相结合,我们找到了一个新的软度相关的幂律制度的夹带液体的厚度在小毛细管数,这对应于一个修改后的物理在发挥动态弯月面。当基材的变形与夹带液膜的厚度相当时,这种制度与经典浸涂制度之间发生交叉。

英文摘要:

A solid, withdrawn from a liquid bath, entrains a thin liquid film. This simple process, first described by Landau, Levich and Derjaguin (LLD), is commonly observed in everyday life. It also plays a central role in liquid capture by animals, and is widely used for surface-coating purposes in industry. Motivated by the emerging interest in the mechanics of very soft materials, and in particular the resulting elastocapillary coupling, we develop a dip-coating model that accounts for the additional presence of a soft solid layer atop the rigid plate. The elastic response of this soft layer is described by a Winkler's foundation. Using a combination of numerical, scaling and asymptotic-matching methods, we find a new softness-dependent power-law regime for the thickness of entrained liquid at small capillary number, which corresponds to a modified physics at play in the dynamic meniscus. The crossover between this regime and the classical dip-coating one occurs when the substrate's deformation is comparable to the thickness of the entrained liquid film.

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