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Related papers: Nonlinear force balance at moving contact lines

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This paper explores the friction forces encountered by droplets on non-wetting surfaces, specifically focusing on superhydrophobic and superheated substrates. Employing a combination of experimental techniques, including inclined plane…

We study the spreading dynamics of a sphere-shaped elastic non-Newtonian liquid drop on a spherical substrate in the capillary driven regime. We use the simplified Phan Thien Tanner model to represent the rheology of the elastic…

Power-law fluids can strongly affect the degree of the contact line stress singularity and hence the nature of moving contact lines. We develop a framework beyond the classical paradigm for power-law fluids, providing a unified account for…

Fluid Dynamics · Physics 2025-07-01 David Halpern , Hsien-Hung Wei

For partial wetting, motion of the triple liquid-gas-solid contact line is influenced by heterogeneities of the solid surface. This influence can be strong in the case of inertial (e.g. oscillation) flows where the line can be pinned or…

Classical Physics · Physics 2008-02-19 Vadim S. Nikolayev , Sergey L. Gavrilyuk , Henri Gouin

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

Liquid crystal elastomers realize a fascinating new form of soft matter that is a composite of a conventional crosslinked polymer gel (rubber) and a liquid crystal. These {\em solid} liquid crystal amalgams, quite similarly to their…

Soft Condensed Matter · Physics 2009-09-29 Xiangjun Xing , Leo Radzihovsky

We study a model describing the slow flow of a fluid through a deformable, porous, elastic solid undergoing small deformations. The stress-strain relationship of the solid incorporates nonlinear effects, formulated as a perturbation of the…

Numerical Analysis · Mathematics 2026-04-28 Andrea Bonito , Vivette Girault , Diane Guignard

Liquid droplets sliding along solid surfaces are a frequently observed phenomenon in nature, e.g., raindrops on a leaf, and in everyday situations, e.g., drops of water in a drinking glass. To model this situation, we use a phase field…

Computational Physics · Physics 2019-10-23 Henning Bonart , Christian Kahle , Jens-Uwe Repke

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

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

In recent years, there has been a considerable interest in the mechanics of soft objects meeting fluid interfaces (elasto-capillary interactions). In this work we experimentally examine the case of a fluid resting on a thin film of rigid…

Soft Condensed Matter · Physics 2018-04-24 Timothy Twohig , Sylvio May , Andrew B. Croll

Recent studies show interest in materials with asymmetric friction forces. We investigate terminal motion of a solid body with circular contact area. We assume that friction forces are asymmetric orthotropic. Two cases of pressure…

Soft Condensed Matter · Physics 2018-02-21 O. A. Silantyeva , N. N. Dmitriev

From hydrogels and plastics to liquid crystals, soft solids cover a wide array of synthetic and biological materials that play key enabling roles in advanced technologies such as 3D printing, soft robotics, wearable electronics,…

Soft Condensed Matter · Physics 2022-11-15 Surjyasish Mitra , Quoc Vo , Marcus Lin , Tuan Tran

Compression of soft bodies is central to biology, materials science, and robotics, yet existing contact theories break down at large deformations. Here, we develop a general framework for soft-body compression by extending the method of…

A sessile liquid drop can deform the substrate on which it rests if the solid is sufficiently "soft". In this paper we compute the detailed spatial structure of the capillary forces exerted by the drop on the solid substrate using a model…

Fluid Dynamics · Physics 2015-05-27 Siddhartha Das , Antonin Marchand , Bruno Andreotti , Jacco H. Snoeijer

Soft materials are ubiquitous in technological applications that require deformability, for instance, in flexible, water-repellent coatings. However, the wetting properties of pre-strained soft materials are only beginning to be explored.…

Soft Condensed Matter · Physics 2025-04-15 Youchuang Chao , Hansol Jeon , Stefan Karpitschka

In order to probe the dynamics of contact-line motion, we study the macroscopic properties of sessile drops deposited on and then aspirated from carefully prepared horizontal surfaces. By measuring the contact angle and drop width…

Soft Condensed Matter · Physics 2023-07-12 Chloe W. Lindeman , Sidney R. Nagel

This paper constructs and analyzes a model for the dynamic frictional contact between a viscoelastic body and a moving foundation. The contact involves wear of the contacting surface and the diffusion of the wear debris. The relationships…

Mathematical Physics · Physics 2019-06-26 Piotr Kalita , Pawel Szafraniec , Meir Shillor

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

In this paper, we investigate the dynamics of an incompressible viscous Navier-Stokes fluid evolving above a one-dimensional flat surface. The fluid is subject to a uniform gravitational field and capillary forces acting along the free…

Analysis of PDEs · Mathematics 2026-02-19 Xiaoding Yang