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The surface of a liquid near a moving contact line is highly curved owing to diverging viscous forces. Thus, microscopic physics must be invoked at the contact line and matched to the hydrodynamic solution farther away. This matching has…

Fluid Dynamics · Physics 2009-11-10 Jens Eggers

When two drops of radius $R$ touch, surface tension drives an initially singular motion which joins them into a bigger drop with smaller surface area. This motion is always viscously dominated at early times. We focus on the early-time…

Fluid Dynamics · Physics 2017-05-17 Jens Eggers , John R. Lister , Howard A. Stone

We use a three-dimensional lattice Boltzmann model to investigate the spreading of mesoscale droplets on homogeneous and heterogeneous surfaces. On a homogeneous substrate the base radius of the droplet grows with time as $t^{0.28}$ for a…

Soft Condensed Matter · Physics 2007-05-23 A. Dupuis , A. J. Briant , C. M. Pooley , J. M. Yeomans

A dielectric drop suspended in conducting liquid and subjected to an uniform electric field deforms into an ellipsoid whose major axis is either perpendicular or tilted (due to Quincke rotation effect) relative to the applied field. We…

Fluid Dynamics · Physics 2015-05-14 Malika Ouriemi , Petia M. Vlahovska

Various substances in the liquid state tend to form droplets. In this paper the shape of such droplets is investigated within the spherical model of a lattice gas. We show that in this case the droplet boundary is always diffusive, as…

Statistical Mechanics · Physics 2015-05-20 Anatoly E. Patrick

We introduce and study certain variants of Gamow's liquid drop model in which an anisotropic surface energy replaces the perimeter. After existence and nonexistence results are established, the shape of minimizers is analyzed. Under…

Analysis of PDEs · Mathematics 2020-01-30 Rustum Choksi , Robin Neumayer , Ihsan Topaloglu

In this work, we numerically study the elastic contact between isotropic and anisotropic, rigid, randomly rough surfaces and linearly elastic counterfaces as well as the subsequent Reynolds flow through the gap between the two contacting…

Soft Condensed Matter · Physics 2020-10-27 Anle Wang , Martin H. Müser

A planar colloidal monolayer exhibits anomalous collective diffusion due to the hydrodynamic interactions. We investigate how this behavior is affected by the curvature of the monolayer when it resides on the interface of a spherical…

Soft Condensed Matter · Physics 2018-02-21 Alvaro Domínguez

Control of the swelling, chemical functionalization, and adhesivity of hydrogels are finding new applications in a wide range of material systems. We investigate experimentally the effect of adsorbed particles on hydrogels on the depinning…

Soft Condensed Matter · Physics 2016-06-14 François Boulogne , François Ingremeau , Laurent Limat , Howard A. Stone

Drops of active liquid crystal have recently shown the ability to self-propel, which was associated with topological defects in the orientation of active filaments [Sanchez {\em et al.}, Nature {\bf 491}, 431 (2013)]. Here, we study the…

Soft Condensed Matter · Physics 2016-07-05 Diana Khoromskaia , Gareth P. Alexander

We present results of Molecular Dynamics (MD) calculations on the behavior of liquid nanodroplets on rough hydrophobic and hydrophilic solid surfaces. On hydrophobic surfaces, the contact angle for nanodroplets depends strongly on the root…

Soft Condensed Matter · Physics 2008-05-07 C. Yang , U. Tartaglino , B. N. J. Persson

The drying of a drop containing particles often results in the accumulation of the particles at the contact line. In this work, we investigate the drying of an aqueous colloidal drop surrounded by a hydrogel that is also evaporating. We…

Soft Condensed Matter · Physics 2017-01-31 François Boulogne , François Ingremeau , Howard A. Stone

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

We investigate the asymmetric freezing of a liquid droplet sliding on an inclined cold surface using numerical simulations based on the lubrication approximation. The combined effects of gravity, capillarity, and solidification kinetics on…

This paper explores the friction forces encountered by droplets on non-wetting surfaces, specifically focusing on superhydrophobic and superheated substrates. Employing a combination of experimental techniques, including inclined plane…

We study the impact and subsequent retraction dynamics of liquid droplets upon high-speed impact on hydrophobic surfaces. Performing extensive experiments, we show that the drop retraction rate is a material constant and does not depend on…

Fluid Dynamics · Physics 2009-11-11 Denis Bartolo , Christophe Josserand , Daniel Bonn

Liquid drops start spreading directly after coming into contact with a solid sub- strate. Although this phenomenon involves a three-phase contact line, the spread- ing motion can be very fast. We experimentally study the initial spreading…

Fluid Dynamics · Physics 2015-06-11 Antonin Eddi , Koen G. Winkels , Jacco H. Snoeijer

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

Due to the slow dynamics of the wetting ridge, it is challenging to predict the wetting morphology of liquid drops on thin lubricant coated surfaces. It is hypothesized that when a drop sinks on a lubricated surface, quasi-static wetting…

Soft Condensed Matter · Physics 2022-11-15 Shivam Gupta , Bidisha Bhatt , Meenaxi Sharma , Krishnacharya Khare

We consider a variant of Gamow's liquid drop model with an anisotropic surface energy. Under suitable regularity and ellipticity assumptions on the surface tension, Wulff shapes are minimizers in this problem if and only if the surface…

Analysis of PDEs · Mathematics 2020-10-15 Oleksandr Misiats , Ihsan Topaloglu
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