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By introducing height dependency in the surface energy density, we propose a novel regularized variational model to simulate wetting/dewetting problems. The regularized model leads to the appearance of a precursor layer which covers the…

Analysis of PDEs · Mathematics 2022-08-18 Wei Jiang , Zhen Zhang , Zeyu Zhou

When a solid plate is withdrawn from a partially wetting liquid, a liquid layer dewets the moving substrate. High-speed imaging reveals alternating thin and thick regions in the entrained layer in the transverse direction at steady state.…

Fluid Dynamics · Physics 2020-11-18 Mengfei He

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

We propose a sharp interface model for simulating solid-state dewetting where the surface energy is (weakly) anisotropic. The morphology evolution of thin films is governed by surface diffusion and contact line migration. The mathematical…

Materials Science · Physics 2015-06-22 Yan Wang , Wei Jiang , Weizhu Bao , Dave J. Srolovitz

An analytical model is proposed for the Young-Laplace equation of two-dimensional (2D) drops under gravity. Inspired by the pioneering work of Landau & Lifshitz (1987), we derive analytical expressions of the profile of drops on flat…

Fluid Dynamics · Physics 2018-10-31 Cunjing Lv

Accurate estimation of surface wettability for various degrees of hydrophobicity becomes increasingly important in the molecular design of membrane. In this paper, we develop simple yet physically realistic model for estimating contact…

Soft Condensed Matter · Physics 2018-01-08 Meysam Makaremi , Myung S. Jhon , Meagan S. Mauter , Lorenz T. Biegler

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…

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

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

This paper deals with the study of a three-dimensional model of thermomechanical coupling for viscous solids exhibiting hysteresis effects. This model is written in accordance with the formalism of generalized standard materials and it is…

Analysis of PDEs · Mathematics 2011-11-11 Laetitia Paoli , Adrien Petrov

Understanding the contact between solid surfaces is a long standing problem which has a strong impact on the physics of many processes such as adhesion, friction, lubrication and wear. Experimentally, the investigation of solid/solid…

Materials Science · Physics 2019-02-25 F. Rieutord , C. Rauer , H. Moriceau

This work presents a combined experimental and theoretical study of dynamic contact angle hysteresis using liquid bridges under cyclic compression and stretching between two identical plates. Under various loading rates, contact angle…

Soft Condensed Matter · Physics 2022-08-23 Zhang Shi , Yi Zhang , Mingchao Liu , Dorian A. H. Hanaor , Yixiang Gan

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

Recent experiments by Kavousanakis et al., Langmuir, 2018 [1], showed that reversible electrowetting on superhydrophobic surfaces can be achieved by using a thick solid dielectric layer (e.g. tens of micrometers). It has also been shown,…

Soft Condensed Matter · Physics 2018-07-30 Nikolaos T. Chamakos , George Karapetsas , Athanasios G. Papathanasiou

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 ability to control wettability is important for a wide range of technological applications in which precise microfluidic handling is required. It is known that predesigned roughness at a micro- or nano- scale enhances the wetting…

Soft Condensed Matter · Physics 2013-04-09 Michail E. Kavousanakis , Carlos E. Colosqui , Athanasios G. Papathanasiou

We study experimentally and discuss quantitatively the contact angle hysteresis on striped superhydrophobic surfaces as a function of a solid fraction, $\phi_S$. It is shown that the receding regime is determined by a longitudinal sliding…

Soft Condensed Matter · Physics 2014-10-21 Alexander L. Dubov , Ahmed Mourran , Martin Möller , Olga I. Vinogradova

Superantiwettability, including superhydrophobicity, is an enhanced effect of surface ruggedness via the Cassie-Baxter wetting state, and has many applications such as antifouling, drop manipulation, and self-cleaning. However,…

Soft Condensed Matter · Physics 2016-02-10 Yanshen Li , Cunjing Lv , David Quéré , Quanshui Zheng

We analyze the surface tension exerted at the interface between an active fluid and a solid boundary in terms of tangential forces. Focusing on active systems known to possess an equation of state for the pressure, we show that interfacial…

The design of a robust superhydrophobic surface is a widely pursued topic.While many investigations are limited to applications with high impact velocities (for raindrops of the order of a few m/s), the essence of robustness is yet to be…

Chemical Physics · Physics 2014-12-18 Anjishnu Sarkar , Anne-Marie Kietzig