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

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In an effort to study the stability of contact lines in fluids, we consider the dynamics of an incompressible viscous Stokes fluid evolving in a two-dimensional open-top vessel under the influence of gravity. This is a free boundary…

Analysis of PDEs · Mathematics 2017-10-25 Yan Guo , Ian Tice

The capillary traction of a liquid contact line causes highly localized deformations in soft solids, tremendously slowing down wetting and dewetting dynamics by viscoelastic braking. Enforcing nonetheless large velocities leads to the…

Soft Condensed Matter · Physics 2022-08-17 Dominic Mokbel , Sebastian Aland , Stefan Karpitschka

We study a solid plate plunging into or being withdrawn from a liquid bath, to highlight the fundamental difference between the local behavior of an advancing or a receding contact line, respectively. It is assumed that the liquid partially…

Fluid Dynamics · Physics 2007-05-23 Jens Eggers

It is common to relate the dynamic contact angle $\theta_d$ to the relative speed between the substrate and the contact line; theory suggests $\theta_d^3 \propto U$. In fact, available physical models show that the dynamic angle involves…

Fluid Dynamics · Physics 2007-05-23 Jens Eggers , Howard A. Stone

The surface of a liquid near a moving contact line is highly curved owing to diverging viscous forces. Thus, microscopic physics must be invoked at the contact line and matched to the hydrodynamic solution farther away. This matching has…

Fluid Dynamics · Physics 2009-11-10 Jens Eggers

The conventional no-slip boundary condition leads to a non-integrable stress singularity at a moving contact line. This makes numerical simulations challenging, especially when capillary effects are essential for the dynamics of the flow.…

Fluid Dynamics · Physics 2017-09-18 Hanna Holmgren , Gunilla Kreiss

We perform the analysis of predictions of a classical density functional theory for associating fluids with different association strength concerned with wetting of solid surfaces. The four associating sites water-like models with…

Soft Condensed Matter · Physics 2024-04-01 A. Kozina , M. Aguilar , O. Pizio , S. Sokołowski

In this paper, we present a novel approach to model the fluid/solid interaction forces in a direct solver of the Navier-Stokes equations based on the volume of fluid interface tracking method. The key ingredient of the model is the explicit…

Fluid Dynamics · Physics 2015-06-16 Kyle Mahady , Shahriar Afkhami , Lou Kondic

The moving-contact line between a fluid, liquid and a solid is a ubiquitous phenomenon, and determining the maximum speed at which a liquid can wet/dewet a solid is a practically important problem. Using continuum models, previous studies…

Fluid Dynamics · Physics 2022-08-17 J. S. Keeler , D. A. Lockerby , S. Kumar , J. E. Sprittles

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

It is well known that, at a macroscopic level, the boundary condition for a viscous fluid at a solid wall is one of "no-slip". The liquid velocity field vanishes at a fixed solid boundary. In this paper, we consider the special case of a…

Soft Condensed Matter · Physics 2015-06-25 Jean-Louis Barrat , Lydéric Bocquet

Given that contact line between liquid and solid phases can move regardless how negligibly small are the surface roughness, Navier slip, liquid volatility, impurities, deviations from the Newtonian behavior, and other system-dependent…

Fluid Dynamics · Physics 2019-05-01 Rouslan Krechetnikov

The Young-Dupr\'e equation is a cornerstone of the equilibrium theory of capillary and wetting phenomena. In the biological world, interfacial phenomena are ubiquitous, from the spreading of bacterial colonies to tissue growth and flocking…

Soft Condensed Matter · Physics 2026-04-16 Yongfeng Zhao , Ruben Zakine , Adrian Daerr , Yariv Kafri , Julien Tailleur , Frédéric van Wijland

Liquid wetting of a surface is omnipresent in nature and the advance of micro-fabrication and assembly techniques in recent years offers increasing ability to control this phenomenon. Here, we identify how surface roughness influences the…

In this article, we study the spreading of droplets of density-matched granular suspensions on the surface of a solid. Bidispersity of the particle size distribution enriches the conclusions drawn from monodisperse experiments by…

Soft Condensed Matter · Physics 2023-01-25 Alice Pelosse , Élisabeth Guazzelli , Matthieu Roché

When a fluid surface adheres to a substrate, the location of the contact line adjusts in order to minimize the overall energy. This adhesion balance implies boundary conditions which depend on the characteristic surface deformation…

Soft Condensed Matter · Physics 2011-11-09 Markus Deserno , Martin M. Mueller , Jemal Guven

In the classic theory of solid adhesion, surface energy drives deformation to increase contact area while bulk elasticity opposes it. Recently, solid surface stress has been shown also to play an important role in opposing deformation of…

Soft Condensed Matter · Physics 2016-02-17 K. E. Jensen , R. Sarfati , R. W. Style , R. Boltyanskiy , A. Chakrabarti , M. K. Chaudhury , E. R. Dufresne

Kinetic frictional forces resisting droplet motion often appear to be separate to surface wettability and adhesive forces. Here we show that such friction arises from a simple combination of the contact angle hysteresis and adhesive force.…

We study the dynamics of the interface between two immiscible fluids in contact with a chemically homogeneous moving solid plate. We consider the generic case of two fluids with any viscosity ratio and of a plate moving in either directions…

Fluid Dynamics · Physics 2015-06-15 T. S. Chan , S. Srivastava , A. Marchand , B. Andreotti , L. Biferale , F. Toschi , J. H. Snoeijer

The classical fluid dynamics boundary condition of no-slip suggests that variation in the wettability of a solid should not affect the flow of an adjacent liquid. However experiments and molecular dynamics simulations indicate that this is…

Fluid Dynamics · Physics 2012-02-17 J. E. Sprittles , Y. D. Shikhmurzaev