Contact angles of liquids at deformable solid surfaces

Lester, Gabriel

doi:10.1016/0095-8522(61)90032-0

Cited by 199 publications

(160 citation statements)

References 3 publications

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“…Solids are rare whose surfaces are free of stresses which have penetrated from below the surface layer. Lester [77] has recently given a sophisticated treatment of Young 1 s equation and has shown that it is correct so long as the drop of liquid rests on a solid which is not too deformable.…”

Section: Figure 1 Contact Angle Of a Sessile Dropmentioning

confidence: 99%

Relation of the Equilibrium Contact Angle to Liquid and Solid Constitution

Zisman

1964

Advances in Chemistry

1,722

655

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Section: Figure 1 Contact Angle Of a Sessile Dropmentioning

confidence: 99%

Relation of the Equilibrium Contact Angle to Liquid and Solid Constitution

Zisman

1964

Advances in Chemistry

1,722

655

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“…A liquid drop can deform a soft elastic substrate due to capillary forces (Lester 1961;Rusanov 1975Rusanov , 1978Shanahan 1987;de Gennes et al 2004;. Elastic deformations take place over a length on the order of the elastocapillary length γ/E, where γ is the liquid surface tension and E the solid Young's modulus.…”

Section: Introductionmentioning

confidence: 99%

Drops on soft solids: free energy and double transition of contact angles

et al. 2014

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The equilibrium shape of liquid drops on elastic substrates is determined by minimising elastic and capillary free energies, focusing on thick incompressible substrates. The problem is governed by three length scales: the size of the drop R, the molecular size a, and the ratio of surface tension to elastic modulus γ/E. We show that the contact angles undergo two transitions upon changing the substrates from rigid to soft. The microscopic wetting angles deviate from Young's law when γ/Ea 1, while the apparent macroscopic angle only changes in the very soft limit γ/ER 1. The elastic deformations are worked out in the simplifying case where the solid surface energy is assumed constant. The total free energy turns out lower on softer substrates, consistent with recent experiments.

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“…The familiar Young's equation can be interpreted as a balance of the tangential forces. Some authors (Lester 1961;Fortes 1984) suggested that the normal component is balanced by a force exerted by the solid, which deforms upon contact. This deformation is generally negligible on a rigid substrate, but can lead to the formation of a ridge (Andrade et al 1979;PericetCamara et al 2008) or wrinkles (Huang et al 2007) on a soft substrate.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of elastocapillary rise

2011

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We present the results of a combined experimental and theoretical investigation of the surface-tension-driven coalescence of flexible structures. Specifically, we consider the dynamics of the rise of a wetting liquid between flexible sheets that are clamped at their upper ends. As the elasticity of the sheets is progressively increased, we observe a systematic deviation from the classical diffusive-like behaviour: the time to reach equilibrium increases dramatically and the departure from classical rise occurs sooner, trends that we elucidate via scaling analyses. Three distinct temporal regimes are identified and subsequently explored by developing a theoretical model based on lubrication theory and the linear theory of plates. The resulting free-boundary problem is solved numerically and good agreement is obtained with experiments.

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Contact angles of liquids at deformable solid surfaces

Cited by 199 publications

References 3 publications

Relation of the Equilibrium Contact Angle to Liquid and Solid Constitution

Relation of the Equilibrium Contact Angle to Liquid and Solid Constitution

Drops on soft solids: free energy and double transition of contact angles

Dynamics of elastocapillary rise

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