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Related papers: The wetting problem of fluids on solid surfaces. P…

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The profiles of a spreading wetting film are computed taking into account intermolecular forces and introducing a kinetic slip condition at a molecular cut-off distance. This eliminates the stress singularity, so that both "true" and…

Fluid Dynamics · Physics 2007-05-23 Len M. Pismen , Boris Y. Rubinstein

We use large-scale molecular dynamics to study dynamics at the three-phase contact line in electrowetting of water and electrolytes on no-slip substrates. Under the applied electrostatic potential the line friction at the contact line is…

Fluid Dynamics · Physics 2020-07-08 Petter Johansson , Berk Hess

The spreading of a pure, volatile liquid on a wettable substrate has been studied in extensive detail. Here we show that the addition of a miscible, non-volatile liquid can strongly alter the contact line dynamics and the final liquid…

Soft Condensed Matter · Physics 2020-02-19 Asher P. Mouat , Clay E. Wood , Justin E. Pye , Justin C. Burton

We consider the evolution of contact lines for thermal convection of viscous fluids in a 2D open-top vessel. The domain is bounded above by a free moving boundary and otherwise by the solid wall of a vessel. The dynamics of the fluid are…

Analysis of PDEs · Mathematics 2025-03-11 Yunrui Zheng

We present a simple analytical model and an exact numerical study which explain the role of roughness on different length scales for the fluid contact angle on rough solid surfaces. We show that there is no simple relation between the…

Soft Condensed Matter · Physics 2015-10-28 Francesco Bottiglione , Giuseppe Carbone , Bo N. J. Persson

One of the most questionable issues in wetting is the vertical force balance that is excluded in Young's law. On soft deformable solids, such as biotic materials and synthetic polymers, the vertical force of liquid leads to a microscopic…

Soft Condensed Matter · Physics 2013-12-31 Su Ji Park , Byung Mook Weon , Ji San Lee , Junho Lee , Jinkyung Kim , Jung Ho Je

We present a model based on the lattice Boltzmann equation that is suitable for the simulation of dynamic wetting. The model is capable of exhibiting fundamental interfacial phenomena such as weak adsorption of fluid on the solid substrate…

The relaxation of a dewetting contact line is investigated theoretically in the so-called "Landau-Levich" geometry in which a vertical solid plate is withdrawn from a bath of partially wetting liquid. The study is performed in the framework…

Fluid Dynamics · Physics 2007-05-25 J. H. Snoeijer , B. Andreotti , G. Delon , M. Fermigier

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

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

In this paper we study the dynamics of an incompressible viscous fluid evolving in an open-top container in two dimensions. The fluid mechanics are dictated by the Navier-Stokes equations. The upper boundary of the fluid is free and evolves…

Analysis of PDEs · Mathematics 2020-10-30 Yan Guo , Ian Tice

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

Surface tension and wetting are dominating physical effects in micro and nanoscale flows. We present an efficient and reliable model of surface tension and equilibrium contact angles in Smoothed Particle Hydrodynamics for free-surface…

Fluid Dynamics · Physics 2024-05-22 Michael Blank , Prapanch Nair , Thorsten Pöschel

We consider an adhesive contact between a thin soft layer on a rigid substrate and a rigid cylindrical indenter ("line contact") with account of the surface tension of the layer. First, it is shown that the boundary condition for the…

Soft Condensed Matter · Physics 2020-02-06 Valentin L. Popov

The dynamics of the triple gas-liquid-solid contact line is analysed for the case where the gas is the saturated vapour corresponding to the liquid, like in the vapour bubble in boiling. It is shown that even small superheating (with…

Soft Condensed Matter · Physics 2013-03-26 Vadim S. Nikolayev

Dynamic wetting poses a well-known challenge in classical sharp-interface formulation as the no-slip wall condition leads to a contact line singularity that is typically regularized with a Navier boundary condition, often requiring…

Fluid Dynamics · Physics 2025-11-13 Tomas Fullana , Stéphane Zaleski , Gustav Amberg

The moving contact line paradox discussed in the famous paper by Huh and Scriven has lead to an extensive scientific discussion about singularities in continuum mechanical models of dynamic wetting in the framework of the two-phase…

Fluid Dynamics · Physics 2020-07-30 Mathis Fricke , Dieter Bothe

A comprehensive review of current analytical models, experimental techniques, and influencing factors is carried out to highlight the current challenges in this area. The study of fluid-solid boundary conditions has been ongoing for more…

Soft Condensed Matter · Physics 2017-05-09 Jian-Jun Shu , Ji Bin Melvin Teo , Weng Kong Chan

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

During the spreading of a liquid over a solid substrate, the contact line can stay pinned at sharp edges until the contact angle exceeds a critical value. At (or sufficiently near) equilibrium, this is known as Gibbs' criterion. Here, we…

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