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Related papers: Can one predict a drop contact angle?

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We study the contact angle hysteresis and morphology changes of a liquid drop sitting on a solid substrate inclined with respect to the horizontal at an angle $\alpha$. This one is always smaller than the critical one, $\alpha_{crit}$,…

Fluid Dynamics · Physics 2019-04-24 Pablo D. Ravazzoli , Ingrith Cuellar , Alejandro G. González , Javier A. Diez

Understanding how water wets graphene is critical for predicting and controlling its behaviour in nanofluidic, sensing, and energy applications. A key measure of wetting is the contact angle made by a liquid droplet against the surface, yet…

Mesoscale and Nanoscale Physics · Physics 2026-05-04 Darren Wayne Lim , Xavier R. Advincula , William C. Witt , Angelos Michaelides , Fabian L. Thiemann , Christoph Schran

We construct a novel model for the steady-state contact angles of liquid droplets at the wetted substrate. The non-removable, thin liquid film covering the substrate is governed by the intermolecular forces between molecules of liquid and…

Fluid Dynamics · Physics 2022-10-19 Leonid Pekker , David Pekker , Nikolai Petviashvili

We introduce an accurate and efficient method for characterizing surface wetting and interfacial properties, such as the contact angle made by a liquid droplet on a solid surface, and the vapor-liquid surface tension of a fluid. The method…

Soft Condensed Matter · Physics 2018-11-14 Hao Jiang , Suruchi Fialoke , Zachariah Vicars , Amish J. Patel

We consider the equilibrium behaviour and dynamics of liquid drops on a superhydrophobic surface patterned with sawtooth ridges or posts. Due to the anisotropic geometry of the surface patterning, the contact line can preferentially depin…

Soft Condensed Matter · Physics 2009-10-30 H. Kusumaatmaja , J. M. Yeomans

Liquid infused surfaces with partially wetting lubricants have recently been exploited for numerous intriguing applications, such as for droplet manipulation, droplet collection and spontaneous motion. When partially wetting lubricants are…

Soft Condensed Matter · Physics 2020-07-27 Muhammad Subkhi Sadullah , Jack R. Panter , Halim Kusumaatmaja

Using as a starting point conservation of momentum, a multiphase mechanical energy balance equation is derived that accounts for multiple material phases and interfaces present within a moving control volume. This balance is applied to a…

Fluid Dynamics · Physics 2022-12-26 Dalton J. E. Harvie

We develop a model which predicts the contact angle hysteresis introduced by smooth micropatterned defects. The defects are modeled by a smooth function and the contact angle hysteresis is explained using a tangent line solution. When the…

Fluid Dynamics · Physics 2011-11-15 Damien Debuisson , Renaud Dufour , Vincent Senez , Steve Arscott

We discuss the equilibrium condition for a liquid that partially wets a solid on the level of intermolecular forces. Using a mean field continuum description, we generalize the capillary pressure from variation of the free energy and show…

Fluid Dynamics · Physics 2009-11-13 Jacco H. Snoeijer , Bruno Andreotti

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

When a drop of water is placed on a rough surface, there are two possible extreme regimes of wetting: the one called Cassie-Baxter (CB) with air pockets trapped underneath the droplet and the one characterized by the homogeneous wetting of…

Soft Condensed Matter · Physics 2015-10-16 Heitor C. M. Fernandes , Mendeli H. Vainstein , Carolina Brito

The wetting behaviour of surfaces is important for various applications like super-hydrophobic surfaces, enhanced oil recovery, mining of metal ores and anti-icing surfaces etc. For rough surfaces, which are the rule rather than the…

Fluid Dynamics · Physics 2023-03-17 Pawan Kumar , Dalton J. E. Harvie

Phase field theory is widely used to model multi-phase flows. A drop can shrink or grow spontaneously due to the redistribution of interface and bulk energies to minimize the system energy. In this paper, the spontaneous behaviour of a drop…

Fluid Dynamics · Physics 2019-12-18 Chunhua Zhang , Zhaoli Guo

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

In part 1, we proposed a model of dynamics of wetting for slow movements near a contact line formed at the interface of two immiscible fluids and a solid when viscous dissipation remains bounded. The contact line is not a material line and…

Classical Physics · Physics 2008-01-15 Henri Gouin

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…

We consider a liquid drop sitting on a rough solid surface at equilibrium, a volume constrained minimizer of the total interfacial energy. The large-scale shape of such a drop strongly depends on the micro-structure of the solid surface.…

Analysis of PDEs · Mathematics 2016-12-22 William M. Feldman , Inwon C. Kim

Understanding the physics of a three-phase contact line between gas, liquid, and solid is important for numerous applications. At the macroscale, the three-phase contact line response to an external force action is often characterized by a…

The significance of wettability between solid and liquid substances in different fields encourages scientists to develop accurate models to estimate the resultant apparent contact angles. Surface free energy (SFE), which is principally…

Chemical Physics · Physics 2026-02-02 Majid Shaker , Erfan Salahinejad

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