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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…

This paper constructs and analyzes a model for the dynamic frictional contact between a viscoelastic body and a moving foundation. The contact involves wear of the contacting surface and the diffusion of the wear debris. The relationships…

Mathematical Physics · Physics 2019-06-26 Piotr Kalita , Pawel Szafraniec , Meir Shillor

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

Application of the principle of energy balance to a rigid indenter in contact with elastic layer on a flat rigid substrate provides a very simple derivation of the detachment criterion which earlier has been obtained by much more…

Soft Condensed Matter · Physics 2018-05-23 Valentin L. Popov

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

We introduce a toy model for rate-independent droplet motion on a surface with contact angle hysteresis based on the one-phase Bernoulli free boundary problem. We consider a notion of energy solutions and show existence by a minimizing…

Analysis of PDEs · Mathematics 2024-10-11 William M Feldman , Inwon C. Kim , Norbert Požár

We develop a mesoscale computational model to describe the interaction of a droplet with a solid. The model is based on the hybrid combination of the immersed boundary and the lattice Boltzmann computational schemes: the former is used to…

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

We propose a sharp-interface model for solid-state dewetting of thin films with wetting potential, where the wetting effect is incorporated through a thickness-dependent surface energy. The model is governed by surface diffusion together…

Numerical Analysis · Mathematics 2026-04-29 Weijie Huang , Xinran Ruan

This paper presents a three-dimensional framework for simulating dynamic wetting phenomena using the volume of fluid (VOF) method, implemented in Basilisk. A geometric interpolation scheme is developed to obtain an accurate and reliable…

Fluid Dynamics · Physics 2025-09-26 Yifan Han , Gerd Mutschke , Kerstin Eckert

The dynamic behavior of a partially wetting polymer droplet driven over a nanostructured interface is studied using molecular dynamics simulations. We consider the bead-spring model to represent a polymeric liquid that partially wets a…

Soft Condensed Matter · Physics 2020-06-17 Anish Thomas , Nikolai V. Priezjev

For partial wetting, motion of the triple liquid-gas-solid contact line is influenced by heterogeneities of the solid surface. This influence can be strong in the case of inertial (e.g. oscillation) flows where the line can be pinned or…

Classical Physics · Physics 2008-02-19 Vadim S. Nikolayev , Sergey L. Gavrilyuk , Henri Gouin

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 investigate the wetting properties of the simplest element of an array of random fibers: two rigid fibers crossing with an inclination angle and in contact with a droplet of a perfectly wetting liquid. We show experimentally that the…

Fluid Dynamics · Physics 2015-06-19 Alban Sauret , Alison D. Bick , Camille Duprat , Howard A. Stone

We use a density functional approach to calculate the contact angle of the water model on a heterogeneous, graphite-like surface. The surface heterogeneity results from the pre-adsorption of a layer of spherical species. The pre-adsorbed…

Soft Condensed Matter · Physics 2022-10-04 K. Dąbrowska , O. Pizio , S. Sokołowski

The flow near a moving contact line is primarily governed by three key parameters: viscosity ratio, dynamic contact angle, and inertia. While the behavior of dynamic contact angles has been extensively studied in earlier experimental and…

Viscoelasticity and rate-dependent adhesion of soft matter lead to difficulties in modeling the 'relatively simple' problem of a rigid sphere in contact with a viscoelastic half-space. For this reason, approximations in describing surface…

Soft Condensed Matter · Physics 2021-12-08 Luciano Afferrante , Guido Violano

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 theoretically investigate the apparent contact angle of droplets on liquid infused surfaces as a function of the relative size of the wetting ridge and the deposited droplet. We provide an intuitive geometrical interpretation whereby the…

Soft Condensed Matter · Physics 2021-05-12 Ciro Semprebon , Muhammad Subkhi Sadullah , Glen McHale , Halim Kusumaatmaja

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
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