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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

The three-phase contact line of a droplet on a smooth surface can be characterized by the Young-Dupr\'e equation. It relates the interfacial energies with the macroscopic contact angle $\theta_e$. On the mesoscale, wettability is modeled by…

Fluid Dynamics · Physics 2018-07-24 Uwe Thiele , Jacco H. Snoeijer , Sarah Trinschek , Karin John

Contact angle hysteresis of droplets will be examined in light of static friction between liquid drop and solid surface. Unlike frictions in solid-solid interfaces, pinning forces at contact points or contact lines would be the cause of…

Fluid Dynamics · Physics 2024-12-03 Jong-In Yang , Jooyoo Hong

The contact angle of a liquid drop on a rigid surface is determined by the classical theory of Young-Laplace. For chemically homogeneous surfaces, this angle is a constant. We study the minimal-energy configurations of liquid drops on rough…

Mathematical Physics · Physics 2017-08-03 Gershon Wolansky

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

A new continuous contact force model for contacting problems with regular or irregular contacting surfaces and energy dissipations in multibody systems is presented and discussed in this work. The model is developed according to Hertz law…

Classical Physics · Physics 2020-01-07 Jie Zhang , Wenhao Li , Lei Zhao , Guangping He

Low voltage electrowetting on dielectrics on substrates with thin layer of lubricating fluid to reduce contact angle hysteresis is reported here. On smooth and homogeneous solid surfaces, it is extremely difficult to reduce contact angle…

Soft Condensed Matter · Physics 2015-07-10 Jitesh Barman , Arun Kumar Nagarajan , Krishnacharya Khare

The moving contact-line problem is of both theoretical and practical interest. The dynamic contact angle changes with the capillary number defined by the contact-line speed, and the correlation also depends on the equilibrium contact angle…

Fluid Dynamics · Physics 2022-06-29 Jun Li

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

During oscillatory wetting, a phase retardation emerges between contact angle variation and contact line velocity, presenting as a hysteresis loop in their correlation -- an effect we term dynamic hysteresis. This phenomenon is found to be…

Fluid Dynamics · Physics 2024-11-27 Jiaxing Shen , Yaerim Lee , Yuanzhe Li , Stéphane Zaleski , Gustav Amberg , Junichiro Shiomi

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

Equilibrium contact angle of liquid drops over horizontal surfaces has been modeled using Smoothed Particle Hydrodynamics (SPH). The model is capable of accurate implementation of contact angles to stationary and moving contact lines. In…

Fluid Dynamics · Physics 2016-08-10 Amirsaman Farrokhpanah , Babak Samareh , Javad Mostaghimi

Static contact angle hysteresis (CAH) is widely attributed to surface roughness and chemical contamination. In the latter case, chemical defects create free-energy barriers that prevent the contact line motion. Electrowetting studies have…

Fluid Dynamics · Physics 2020-10-06 Wei Wang , Qi Wang , Jia Zhou , Antoine Riaud

We study the dynamics of contact angle of a droplet of binary solution evaporating on a super wetting surface. Recent experiments show that although equilibrium contact angle of such droplet is zero, the contract angle can show complex time…

Soft Condensed Matter · Physics 2021-07-27 Mengmeng Wu , Masao Doi , Xingkun Man

The dynamics of receding contact lines is investigated experimentally through controlled perturbations of a meniscus in a dip coating experiment. We first characterize stationary menisci and their breakdown at the coating transition. It is…

Fluid Dynamics · Physics 2015-05-13 G. Delon , M. Fermigier , J. H. Snoeijer , B. Andreotti

Insects, pick-and-place manufacturing, engineered adhesives, and soft robots employ soft materials to stick to surfaces even in the presence of roughness. Experiments show that the force required for making contact is lower than for…

Soft Condensed Matter · Physics 2023-07-27 Antoine Sanner , Nityanshu Kumar , Ali Dhinojwala , Tevis D. B. Jacobs , Lars Pastewka

The subcritical contact process seen from the rightmost infected site has no invariant measures. We prove that nevertheless it converges in distribution to a quasi-stationary measure supported on finite configurations.

Probability · Mathematics 2015-12-18 Enrique Andjel , François Ezanno , Pablo Groisman , Leonardo T. Rolla

The problem of transient hysteresis cycles induced by the pre-sliding kinetic friction is relevant for analyzing the system dynamics e.g. of micro- and nano-positioning instruments and devices and their controlled operation. The associated…

Systems and Control · Electrical Eng. & Systems 2023-10-03 Michael Ruderman

The relaxation dynamics of the contact angle between a viscous liquid and a smooth substrate is studied at the nanoscale. Through atomic force microscopy measurements of polystyrene nanostripes we monitor simultaneously the temporal…

Soft Condensed Matter · Physics 2015-12-03 Marco Rivetti , Thomas Salez , Michael Benzaquen , Elie Raphaël , Oliver Bäumchen

Electrowetting (EW) of water drops in ambient oil has found a wide range of applications including lab-on-a-chip devices, display screens, and variable focus lenses. The efficacy of all these applications is dependent on the contact angle…

Fluid Dynamics · Physics 2018-06-13 Jun Gao , Niels Mendel , Ranabir Dey , Davood Baratian , Frieder Mugele