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

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The effect of thermal fluctuations near a contact line of a liquid interface partially wetting an impenetrable substrate is studied analytically and numerically. Promoting both the interface profile and the contact line position to random…

Soft Condensed Matter · Physics 2016-11-15 D. Belardinelli , M. Sbragaglia , M. Gross , B. Andreotti

In many macroscopic dynamic wetting problems, it is assumed that the macroscopic interface is quasistatic, and the dissipation appears only in the region close to the contact line. When approaching the moving contact line, a microscopic…

Fluid Dynamics · Physics 2017-09-12 Tak Shing Chan , Joshua D. McGraw , Thomas Salez , Ralf Seemann , Martin Brinkmann

We introduce a toy model for rate-independent droplet motion on a surface with contact angle hysteresis based on the one-phase Bernoulli free boundary problem. We consider a notion of energy solutions and show existence by a minimizing…

Analysis of PDEs · Mathematics 2024-10-11 William M Feldman , Inwon C. Kim , Norbert Požár

An example of capillary phenomena commonly seen and often studied is a droplet of water hanging in air from a horizontal surface. A thin capillary surface interface between the liquid and gas develops tangential surface tension, which…

Fluid Dynamics · Physics 2019-04-09 Dale G. Karr

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

Droplet deposition onto a hydrophobic surface is studied experimentally and numerically. A wide range of droplet sizes can result from the same syringe, depending strongly on the needle retraction speed. Three regimes are identified…

Fluid Dynamics · Physics 2015-05-13 Bian Qian , Melissa Loureiro , David Gagnon , Anubhav Tripathi , Kenneth S. Breuer

The role of surface tension and wettability in the dynamics of air-liquid interfaces during immiscible fluid displacement flows in capillary tube driven by pressure has been investigated. The contact angle and capillary number drive the…

Fluid Dynamics · Physics 2016-10-26 Changfei Yan , Huihe Qiu

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 study an interaction problem between a $3D$ compressible viscous fluid and a $3D$ nonlinear viscoelastic solid fully immersed in the fluid, coupled together on the interface surface. The solid is allowed to have…

Analysis of PDEs · Mathematics 2023-12-20 Malte Kampschulte , Boris Muha , Srđan Trifunović

We study the dynamics and equilibrium profile shapes of contact lines for wetting in the case of a spatially inhomogeneous solid wall with stripe defects. Using a phase-field model with conserved dynamics, we first numerically determine the…

Statistical Mechanics · Physics 2009-11-11 Kaifu Luo , Mikko-Pekka Kuittu , Chaohui Tong , Sami Majaniemi , Tapio Ala-Nissila

A molecular-dynamics type simulation method, which is suitable for investigating the dewetting dynamics of thin and viscous liquid layers, is discussed. The efficiency of the method is exemplified by studying a two-parameter depinning-like…

Soft Condensed Matter · Physics 2015-06-22 Botond Tyukodi , Yves Brechet , Zoltan Neda

We study wetting droplets formed of active Brownian particles in contact with a repulsive potential barrier, in a wedge geometry. Our numerical results demonstrate a transition between partially wet and completely wet states, as a function…

Statistical Mechanics · Physics 2023-10-12 Francesco Turci , Robert L. Jack , Nigel B. Wilding

Many textbooks dealing with surface tension favor the thermodynamic approach (minimization of some thermodynamic potential such as free energy) over the mechanical approach (balance of forces) to describe capillary phenomena, stating that…

Soft Condensed Matter · Physics 2021-03-17 Marc Durand

A study of wetting was carried out on porous silicon films with pore diameters spanning three orders of magnitude. Water contact angle measurements on adjoining porous and nonporous regions yielded Wenzel roughness ratios that were either…

Materials Science · Physics 2022-11-15 S. J. Spencer , C. G. Deacon , G. T. Andrews

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…

The wetting properties of immiscible two-phase systems are crucial in a wide range of applications, from lab-on-a-chip devices to field-scale oil recovery. It has long been known that effective wetting properties can be altered by the…

Fluid Dynamics · Physics 2018-07-11 Gaute Linga , Asger J. S. Bolet , Joachim Mathiesen

The current work employed absolutely smooth surface and lattice structure surface to distinguish the relationship between intrinsic wettability of different combinations of liquid and solid particles and the microscopic interparticle…

Soft Condensed Matter · Physics 2020-11-10 Haohao Gu , Hao Wang

The entrainment of air by advancing contact lines is studied by plunging a solid plate into a very viscous liquid. Above a threshold velocity, we observe the formation of an extended air film, typically 10 microns thick, which subsequently…

Fluid Dynamics · Physics 2011-10-25 Antonin Marchand , Tak Shing Chan , Jacco H. Snoeijer , Bruno Andreotti

The size-dependent contact angle and the drying and wetting morphological transition are studied with respect to the volume change for a spherical cap-shaped droplet placed on a spherical substrate. The line-tension effect is included using…

Soft Condensed Matter · Physics 2016-11-03 Masao Iwamatsu

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