Nonlinear theory of wetting on deformable substrates

Dervaux, Julien; Roché, Matthieu; Limat, Laurent

doi:10.1039/d0sm00395f

Cited by 36 publications

(38 citation statements)

References 99 publications

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“…This relationship between surface properties and bulk rheology for different crosslinking densities is not captured by the nonlinear elastic model of Neo-Hookean solids [29,30]. Here we interpret the results by considering the surface elasticity of the gels [18].…”

Section: Resultsmentioning

confidence: 81%

The role of crosslinking density in surface stress and surface energy of soft solids

Zhao,

Zhou,

et al. 2021

Preprint

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Surface stress and surface energy are two fundamental parameters that determine the surface properties of any material. While it is commonly believed that the surface stress and surface energy of liquids are identical, the relationship between the two parameters in soft polymeric gels remains debatable. In this work, we measured the surface stress and surface energy of soft silicone gels with varying crosslinking densities in soft wetting experiments. Above a critical crosslink density, k0, the surface stress is found to increase significantly with crosslinking density while the surface energy, by contrast, remains unchanged. In this regime, we can estimate a non-zero surface elastic modulus that also increases with the ratio of crosslinkers. By comparing the surface mechanics of the soft gels to their bulk rheology, the surface properties near the critical density k0 are found to be closely related to the underlying percolation transition of the polymer networks.

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Section: Resultsmentioning

confidence: 81%

The role of crosslinking density in surface stress and surface energy of soft solids

Zhao,

Zhou,

et al. 2021

Preprint

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“…The method can also be used to deal with more complicated problems, e.g. dynamic wetting on soft substrates or other geometries ( [11,34]). These problems will be left for future work.…”

Section: Discussionmentioning

confidence: 99%

Self-propulsion dynamics of small droplets on general surfaces with curvature gradient

Chen,

2021

Preprint

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We study theoretically the self-propulsion dynamics of a small droplet on general curved surfaces by a variational approach. A new reduced model is derived based on careful computations for the capillary energy and the viscous dissipation in the system. The model describes quantitatively the spontaneous motion of a liquid droplet on general surfaces. In particular, it recovers previous models for droplet motion on the outside surface of a cone. In this case, we derive a scaling law of the displacement s ∼ t 1/3 of a droplet with respect to time t by asymptotic analysis. Theoretical results are in good agreement with experiments in previous literature without adjusting the friction coefficient in the model.

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“…In this context, experiments have demonstrated that the dynamics of drop impacts can be controlled by the softness of the solid (Pepper, Courbin & Stone 2008;Chen & Li 2010;Chen et al 2016;Howland et al 2016;Langley, Castrejón-Pita & Thoroddsen 2020). The deformations of the substrate can affect the dynamics after contact, either by absorbing some of its energy or through the contact line motion (Andreotti & Snoeijer 2020;Dervaux, Roché & Limat 2020). The high lubrication pressure can also deform the substrate before contact occurs, as recently observed in experiments (Langley et al 2020) as well as in numerical and theoretical work (Pegg, Purvis & Korobkin 2018;Henman, Smith & Tiwari 2021).…”

Section: Introductionmentioning

confidence: 99%

Droplet settling on solids coated with a soft layer

Poulain

Carlson

2022

J. Fluid Mech.

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Gravitational settling of a droplet in air onto a soft substrate is a ubiquitous event relevant to many natural processes and engineering applications. We study this phenomenon by developing a three-phase lubrication model of droplet settling onto a solid substrate coated by a thin soft layer represented by a viscous film, an elastic compressible layer and an elastic sheet supported by a viscous film. By combining scaling analysis, analytical methods and numerical simulations we elucidate how the resulting droplet dynamics is affected by the nature of the soft layer. We show that these soft layers can significantly affect the droplet shape during gravitational settling. When there is a linear response of the deformations of the soft layer, the air layer takes longer to drain as compared with the case of a droplet settling onto a rigid substrate. Our results provide new insight into the coupled interactions between droplets and solids coated by a thin film of a soft material.

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Nonlinear theory of wetting on deformable substrates

Abstract: The spreading of a liquid over a solid material is a key process in a wide range of applications.

Cited by 36 publications

References 99 publications

The role of crosslinking density in surface stress and surface energy of soft solids

The role of crosslinking density in surface stress and surface energy of soft solids

Self-propulsion dynamics of small droplets on general surfaces with curvature gradient

Droplet settling on solids coated with a soft layer

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