1. Soft wetting with (a)symmetric Shuttleworth effect
- Author
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C. Henkel, M. H. Essink, T. Hoang, G. J. van Zwieten, E. H. van Brummelen, U. Thiele, J. H. Snoeijer, EIRES Eng. for Sustainable Energy Systems, Energy Technology, Center for Analysis, Scientific Computing & Appl., Group Van Brummelen, Physics of Fluids, and MESA+ Institute
- Subjects
Chemical Physics (physics.chem-ph) ,wetting ,research ,General Mathematics ,General Engineering ,Fluid Dynamics (physics.flu-dyn) ,General Physics and Astronomy ,FOS: Physical sciences ,Physics - Fluid Dynamics ,Condensed Matter - Soft Condensed Matter ,soft wetting ,Nonlinear Sciences - Adaptation and Self-Organizing Systems ,Physics::Fluid Dynamics ,Shuttleworth ,soft ,Physics - Chemical Physics ,Soft Condensed Matter (cond-mat.soft) ,elasticity ,Adaptation and Self-Organizing Systems (nlin.AO) - Abstract
The wetting of soft polymer substrates brings in multiple complexities when compared with the wetting on rigid substrates. The contact angle of the liquid is no longer governed by Young’s Law, but is affected by the substrate’s bulk and surface deformations. On top of that, elastic interfaces exhibit a surface energy that depends on how much they are stretched—a feature known as the Shuttleworth effect (or as surface-elasticity). Here, we present two models through which we explore the wetting of drops in the presence of a strong Shuttleworth effect. The first model is macroscopic in character and consistently accounts for large deformations via a neo-Hookean elasticity. The second model is based on a mesoscopic description of wetting, using a reduced description of the substrate’s elasticity. While the second model is more empirical in terms of the elasticity, it enables a gradient dynamics formulation for soft wetting dynamics. We provide a detailed comparison between the equilibrium states predicted by the two models, from which we deduce robust features of soft wetting in the presence of a strong Shuttleworth effect. Specifically, we show that the (a)symmetry of the Shuttleworth effect between the ‘dry’ and ‘wet’ states governs horizontal deformations in the substrate. Our results are discussed in the light of recent experiments on the wettability of stretched substrates.
- Published
- 2022