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Related papers: A microscopic view on contact angle selection

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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

The wetting of solid surfaces by fluids is a problem of great practical importance that has been extensively studied over the years. Most often, the experimental work has involved measurements of the contact angle made by a liquid on the…

Statistical Mechanics · Physics 2007-05-23 S. Curtarolo , M. J. Bojan , G. Stan , M. W. Cole , W. A. Steele

Contact angle is an important parameter in characterizing the wetting properties of fluids. The most common methods for measuring the contact angle is to measure it directly from the profile curve of a sessile drop, a method with certain…

Fluid Dynamics · Physics 2019-01-30 Feredoon Behroozi , Peter Behroozi

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

Two collective properties distinguishing the thin liquid water vapour interface from the bulk liquid are the anisotropy of the pressure tensor giving rise to surface tension and the orientational alignment of the molecules leading to a…

Soft Condensed Matter · Physics 2020-02-03 Chao Zhang , Michiel Sprik

We prove the invariance of the contact angle in liquid-solid wetting phenomena : an electrified droplet is spreading on a solid surface. The drop is minimizing its energy. We express the differential of this energy with respect to the shape…

Classical Analysis and ODEs · Mathematics 2007-07-19 C. Scheid , P. Witomski

We consider a classical (capillary) model for a one-phase liquid in equilibrium. The liquid (e.g. water) is subject to a volume constraint, it does not mix with the surrounding vapour (e.g. air), it may come into contact with solid supports…

Analysis of PDEs · Mathematics 2021-04-27 Costante Bellettini

We study the stability and breakup of liquid bridges with a free contact line on a surface with contact-angle hysteresis under zero-gravity conditions. Theoretical predictions of the stability limits are validated by experimental…

Soft Condensed Matter · Physics 2015-07-24 Amir Akbari , Reghan J. Hill

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

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

Hypothesis Understanding wetting behavior is of great importance for natural systems and technological applications. The traditional concept of contact angle, a purely geometrical measure related to curvature, is often used for…

By solving the Young Laplace equation of capillary hydrostatics one can accurately determine equilibrium shapes of droplets on relatively smooth solid surfaces. The solution, however of the Young Laplace equation becomes tricky when a…

Soft Condensed Matter · Physics 2013-06-05 Nikolaos T. Chamakos , Michail E. Kavousanakis , Athanasios G. Papathanasiou

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

Wetting is a widespread phenomenon, most prominent in a number of cases, both in nature and technology. Droplets of pure water with initial radius ranging from 20 to 80 [\AA] spreading on graphitic surfaces are studied by molecular dynamics…

Chemical Physics · Physics 2012-08-28 Danilo Sergi , Giulio Scocchi , Alberto Ortona

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 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

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

We consider the spreading of a thin two-dimensional droplet on a solid substrate. We use a model for viscous fluids where the evolution is governed by Darcy's Law. At the triple point where air and liquid meet the solid substrate, the…

Analysis of PDEs · Mathematics 2012-04-12 Hans Knüpfer , Nader Masmoudi

We show that in general, the specification of a contact angle condition at the contact line in inviscid fluid motions is incompatible with the classical field equations and boundary conditions generally applicable to them. The limited…

Mathematical Physics · Physics 2007-05-23 P N Shankar , R Kidambi

Wetting phenomena play a key role in flows through porous media. Relative permeability and capillary pressure-saturation functions show a high sensitivity to wettability, which has different definitions at the continuum- and pore-scale. At…