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Related papers: A General Model for Static Contact Angles

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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 problem of the Winterbottom's construction and Young's equation in the presence of a rough substate and establish their microscopic validity within a 1+1-dimensional SOS type model. We then present the low temperature…

Condensed Matter · Physics 2007-05-23 Joel De Coninck , Salvador Miracle-Sole , Jean Ruiz

The wetting behavior of drops on natural and industrial surfaces is determined by the advancing and receding contact angles. They are commonly measured by the sessile drop technique, also called goniometry, which doses liquid through a…

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

The coherent control of scattering processes is considered, with electron impact dissociation of H$_2^+$ used as an example. The physical mechanism underlying coherently controlled stationary state scattering is exposed by analyzing a…

Quantum Physics · Physics 2009-11-13 Michael Spanner , Paul Brumer

As the simplest model of transition between the superhydrophobic Cassie-Baxter (CB) and Wenzel (W) states of a macroscopic droplet sitting on a microscopically rough or corrugated substrate, a substrate whose surface is covered by identical…

Soft Condensed Matter · Physics 2022-07-25 Masao Iwamatsu

The flow near a moving contact line depends on the dynamic contact angle, viscosity ratio, and capillary number. We report experiments involving immersing a plate into a liquid bath, concurrently measuring the interface shape, interfacial…

Fluid Dynamics · Physics 2024-12-04 Charul Gupta , Anjishnu Choudhury , Lakshmana D Chandrala , Harish N Dixit

The fundamental impacts of surface geometry on the stability of wetting states, and the transitions between them are elucidated for posts and reentrant structures in both two and three dimensions. We identify three principal outcomes of…

Soft Condensed Matter · Physics 2019-10-16 Jack R. Panter , Halim Kusumaatmaja

Local contact line pinning prevents droplets from rearranging to minimal global energy, and models for droplets without pinning cannot predict their shape. We show that experiments are much better described by a theory, developed herein,…

Fluid Dynamics · Physics 2014-08-21 Michiel Musterd , Volkert van Steijn , Chris R. Kleijn , Michiel T. Kreutzer

The relation between wetting properties and geometric parameters of fractal surfaces are widely discussed on the literature and, however, there are still divergences on this topic. Here we propose a simple theoretical model to describe the…

Soft Condensed Matter · Physics 2024-06-14 Iara Patrícia da Silva Ramos , Cristina Gavazzoni , Davi Lazzari , Carolina Brito

The helical edge states of time-reversal invariant two-dimensional topological insulators are protected against backscattering in idealized models. In more realistic scenarios with a shallow confining potential at the sample boundary,…

Mesoscale and Nanoscale Physics · Physics 2022-11-09 Niels John , Adrian Del Maestro , Bernd Rosenow

We present fully analytical solutions for the deformation of a stretched soft substrate due to the static wetting of a large liquid droplet, and compare our solutions to recently published experiments (Xu et al, Soft Matter 2018). Following…

Soft Condensed Matter · Physics 2021-03-17 Stefanie Heyden , Nicolas Bain , Qin Xu , Robert W Style , Eric R Dufresne

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

A particle-water discrete element based approach to describe water movement in partially saturated granular media is presented and tested. Water potential is governed by both capillary bridges, dominant at low saturations, and the pressure…

Soft Condensed Matter · Physics 2013-12-05 Yixiang Gan , Federico Maggi , Giuseppe Buscarnera , Itai Einav

We study the impact of the wetting properties on the immiscible displacement of a viscous fluid in disordered porous media. We present a novel pore-scale model that captures wettability and dynamic effects, including the spatiotemporal…

Fluid Dynamics · Physics 2016-10-14 Ran Holtzman , Enrico Segre

The complicated dynamics of the contact line of a moving droplet on a solid substrate often hamper the efficient modeling of microfluidic systems. In particular, the selection of the effective boundary conditions, specifying the contact…

An enhanced geometric algorithm for automated pore-by-pore contact angle measurement from micro-CT images, is presented that achieves superior accuracy compared to existing methods through robust fluid-fluid and solid-fluid interface…

Computational Engineering, Finance, and Science · Computer Science 2025-07-03 Faisal Aljaberi , Hadi Belhaj , Sajjad Foroughi , Mohammed Al-Kobaisi , Martin Blunt

We propose a model for unilateral contact with adhesion between a viscoelastic body and a rigid support, encompassing thermal and frictional effects. Following the approach by M. Fremond, adhesion is described in terms of a surface damage…

Analysis of PDEs · Mathematics 2012-07-23 Elena Bonetti , Giovanna Bonfanti , Riccarda Rossi

We present the theory of liquid bridges between two axisymmetric solids, sphere and plane, with prescribed contact angles in a general setup, when the solids are non-touching, touching or intersecting, We give a detailed derivation of…

Fluid Dynamics · Physics 2012-08-01 Boris Y. Rubinstein , Leonid G. Fel

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