English
Related papers

Related papers: Drops on soft solids: Free energy and double trans…

200 papers

The contact angle that a liquid drop makes on a soft substrate does not obey the classical Young's relation, since the solid is deformed elastically by the action of the capillary forces. The finite elasticity of the solid also renders the…

Fluid Dynamics · Physics 2015-06-05 Antonin Marchand , Siddhartha Das , Jacco H. Snoeijer , Bruno Andreotti

The contact angle of a liquid drop on a rigid surface is determined by the classical theory of Young-Laplace. For chemically homogeneous surfaces, this angle is a constant. We study the minimal-energy configurations of liquid drops on rough…

Mathematical Physics · Physics 2017-08-03 Gershon Wolansky

The wetting of soft elastic substrates exhibits many features that have no counterpart on rigid surfaces. Modelling the detailed elastocapillary interactions is challenging, and has so far been limited to single contact lines or single…

Fluid Dynamics · Physics 2023-08-11 Christopher Henkel , Jacco H. Snoeijer , Uwe Thiele

Young's law fails on soft solid and liquid substrates where there are substantial deformations near the contact line. On liquid substrates, this is captured by Neumann's classic analysis, which provides a geometrical construction for…

Soft Condensed Matter · Physics 2015-03-13 Robert W. Style , Eric R. Dufresne

Liquid drops on soft solids generate strong deformations below the contact line, resulting from a balance of capillary and elastic forces. The movement of these drops may cause strong, potentially singular dissipation in the soft solid.…

Fluid Dynamics · Physics 2016-03-25 S. Karpitschka , S. Das , M. van Gorcum , H. Perrin , B. Andreotti , J. H. Snoeijer

We consider a liquid drop placed on a smooth homogeneous solid substrate as it spreads from rest to its eventual equilibrium state. The problem is studied numerically in the framework of a model where the contact angle formed by the drop's…

Fluid Dynamics · Physics 2022-08-18 Carlos A. Galeano-Rios

We study the interaction of an elastic beam with a liquid drop in the case where bending and extensional effects are both present. We use a variational approach to derive equilibrium equations and constitutive relation for the beam. This…

Soft Condensed Matter · Physics 2014-04-08 Sébastien Neukirch , Arnaud Antkowiak , Jean-Jacques Marigo

The idea of contact angle was generalized by using the principle of minimum total energy. The problems of the shape of the two-dimensional sessile drop and the drop on an inclined surface are considered. The differential equations…

Fluid Dynamics · Physics 2007-05-23 Y. I. Frenkel

We consider a liquid drop sitting on a rough solid surface at equilibrium, a volume constrained minimizer of the total interfacial energy. The large-scale shape of such a drop strongly depends on the micro-structure of the solid surface.…

Analysis of PDEs · Mathematics 2016-12-22 William M. Feldman , Inwon C. Kim

In an effort to study the stability of contact lines in fluids, we consider the dynamics of a drop of incompressible viscous Stokes fluid evolving above a one-dimensional flat surface under the influence of gravity. This is a free boundary…

Analysis of PDEs · Mathematics 2019-07-15 Ian Tice , Lei Wu

The intricate interaction between the deformability of a substrate and the dynamic spreading of a liquid drop on the same, under the application of an electrical voltage, has remained far from being well understood. Here, we demonstrate…

Fluid Dynamics · Physics 2016-04-27 Ranabir Dey , Ashish Daga , Sunando DasGupta , Suman Chakraborty

The interfacial mechanics of soft elastic networks play a central role in biological and technological contexts. Yet, effects of solid capillarity have remained controversial, primarily due to the strain-dependent surface energy. Here we…

Soft Condensed Matter · Physics 2018-08-15 Jacco H. Snoeijer , Etienne Rolley , Bruno Andreotti

We show that energy dissipation partition between a liquid and a solid controls the shape and stability of droplets sliding on viscoelastic gels. When both phases dissipate energy equally, droplet dynamics is similar to that on rigid…

Soft Condensed Matter · Physics 2024-02-20 Mathieu Oléron , Laurent Limat , Julien Dervaux , Matthieu Roché

Droplets deform soft substrates near their contact lines. Using confocal microscopy, we measure the deformation of silicone gel substrates due to glycerol and fluorinated-oil droplets for a range of droplet radii and substrate thicknesses.…

Soft Condensed Matter · Physics 2015-03-13 Robert W. Style , Yonglu Che , John. S. Wettlaufer , Larry A. Wilen , Eric R. Dufresne

On a sufficiently-soft substrate, a resting fluid droplet will cause significant deformation of the substrate. This deformation is driven by a combination of capillary forces at the contact line and the fluid pressure at the solid surface.…

Soft Condensed Matter · Physics 2016-07-07 Aaron Bardall , Karen E. Daniels , Michael Shearer

We consider a three dimensional liquid drop sitting on a rough and chemically heterogeneous substrate. Using a novel minimization technique on the free energy of this system, a generalized Young's equation for the contact angle is found. In…

Soft Condensed Matter · Physics 2007-05-23 P. S. Swain , Reinhard Lipowsky

The effects of line tension on the morphology of a sessile droplet placed on top of a convex spherical substrate are studied. The morphology of the droplet is determined from the global minimum of the Helmholtz free energy. The contact…

Soft Condensed Matter · Physics 2016-05-25 Masao Iwamatsu

Droplets splash when they impact dry, flat substrates above a critical velocity that depends on parameters such as droplet size, viscosity and air pressure. By imaging ethanol drops impacting silicone gels of different stiffnesses we show…

We study the interaction of a liquid drop with an elastic beam in the case where bending effects dominate. We use a variational approach to derive equilibrium equations for the system in the presence of gravity and in the presence or…

Soft Condensed Matter · Physics 2013-07-26 Sebastien Neukirch , Arnaud Antkowiak , Jean-Jacques Marigo

The capillary forces exerted by liquid drops and bubbles on a soft solid are directly measured using molecular dynamics simulations. The force on the solid by the liquid near the contact line is not oriented along the liquid vapor interface…

Soft Condensed Matter · Physics 2013-05-31 Joost H. Weijs , Bruno Andreotti , Jacco H. Snoeijer
‹ Prev 1 2 3 10 Next ›