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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

A lattice model for active matter is studied numerically, showing that it displays wettings transitions between three distinctive phases when in contact with an impenetrable wall. The particles in the model move persistently, tumbling with…

Soft Condensed Matter · Physics 2017-09-13 Néstor Sepúlveda , Rodrigo Soto

We study the motion of a two-dimensional droplet on an inclined surface, under the action of gravity, using a diffuse interface model which allows for arbitrary equilibrium contact angles. The kinematics of motion is analysed by decomposing…

Soft Condensed Matter · Physics 2015-03-19 Sumesh P. Thampi , Ronojoy Adhikari , Rama Govindarajan

The retraction of an impacting droplet on a non-wetting substrate is often associated with the formation of a Worthington jet, which is fed by the retracting liquid. A non-Newtonian rheology of the liquid is known to affect the retraction…

Fluid Dynamics · Physics 2023-01-18 Uddalok Sen , Detlef Lohse , Maziyar Jalaal

We study fully three-dimensional droplets that slide down an incline by employing a thin-film equation that accounts for capillarity, wettability, and a lateral driving force in small-gradient (or long-wave) approximation. In particular, we…

Fluid Dynamics · Physics 2016-12-15 Sebastian Engelnkemper , Markus Wilczek , Svetlana V. Gurevich , Uwe Thiele

The dynamics of drop(s) has been simulated by the finite volume/moving mesh interface tracking method (MMIT) with adaptive mesh refining and coarsening. In MMIT, the interface is of zero thickness and moves in a Lagrangian fashion. A number…

Fluid Dynamics · Physics 2011-10-17 Shaoping Quan

When placed on rough hydrophobic surfaces, water droplets of diameter larger than a few millimeters can easily form pearls, as they are in the Cassie-Baxter state with air pockets trapped underneath the droplet. Intriguingly, a natural…

Soft Condensed Matter · Physics 2010-10-19 Peichun Tsai , Rob G. H. Lammertink , Matthias Wessling , Detlef Lohse

In this paper, we present a theoretical, experimental, and numerical study of the dynamics of cavitation bubbles inside a droplet suspended in another host fluid. On the theoretical side, we provided a modified Rayleigh collapse time and…

Fluid Dynamics · Physics 2024-01-02 Shuai Li , Zhesheng Zhao , A-Man Zhang , Rui Han

Before a droplet can contact a surface during impact, it must first displace the air beneath it. Over a wide range of impact velocities, the air is compressed into a thin film, slowing the progress of the liquid toward the surface. Below a…

Fluid Dynamics · Physics 2023-02-27 Ramin Kaviani , John M. Kolinski

When a liquid drop falls on a solid substrate, the air layer in between them delays the occurrence of liquid--solid contact. For impacts on smooth substrates, the air film can even prevent wetting, allowing the drop to bounce off with…

Fluid Dynamics · Physics 2023-03-22 Vatsal Sanjay , Srinath Lakshman , Pierre Chantelot , Jacco H. Snoeijer , Detlef Lohse

A liquid drop impacting a dry solid surface with sufficient kinetic energy will splash, breaking apart into numerous secondary droplets. This phenomenon shows many similarities to forced wetting, including the entrainment of air at the…

Fluid Dynamics · Physics 2018-02-14 Andrzej Latka , Arnout M. P. Boelens , Sidney R. Nagel , Juan J. de Pablo

We investigate the 3D structure and drying dynamics of complex mixtures of emulsion droplets and colloidal particles, using confocal microscopy. Air invades and rapidly collapses large emulsion droplets, forcing their contents into the…

We study critical phenomena in the collapse of rotating ultrarelativistic perfect fluids, in which the pressure $P$ is related to the total energy density $\rho$ by $P=\kappa\rho$, with $\kappa$ a constant. We generalize earlier results for…

General Relativity and Quantum Cosmology · Physics 2018-03-14 Carsten Gundlach , Thomas W. Baumgarte

Systems of particles in a confining potential exhibit a spatially dependent density which fundamentally alters the nature of phase transitions that occur. A specific instance of this situation, which is being extensively explored currently,…

Statistical Mechanics · Physics 2013-05-29 S. M. Pittman , G. G. Batrouni , R. T. Scalettar

When a dense monolayer of macroscopic slightly polydisperse spheres floats on chaotic capillary Faraday waves, a coexistence of large scale convective motion and caging dynamics typical for jammed systems is observed. We subtract the…

Soft Condensed Matter · Physics 2015-05-15 Ceyda Sanlı , Kuniyasu Saitoh , Stefan Luding , Devaraj van der Meer

We investigate compound drops composed of two immiscible nonvolatile partially wetting liquids that slide down an inclined homogeneous smooth solid substrate based on a mesoscopic hydrodynamic two-layer model in full-curvature formulation.…

Fluid Dynamics · Physics 2026-03-30 Dominik Thy , Jan Diekmann , Uwe Thiele

Finite-dimensional signatures of spinodal criticality are notoriously difficult to come by. The dynamical transition of glass-forming liquids, first described by mode-coupling theory, is a spinodal instability preempted by thermally…

Statistical Mechanics · Physics 2020-09-09 Ludovic Berthier , Patrick Charbonneau , Joyjit Kundu

We consider here a fully discrete variant of the implicit variational scheme for mean curvature flow [AlmTayWan,LucStu], in a setting where the flow is governed by a crystalline surface tension defined by the limit of pairwise interactions…

Analysis of PDEs · Mathematics 2025-06-10 Antonin Chambolle , Daniele De Gennaro , Massimiliano Morini

The nature of an instability that controls the transition from static to dynamical friction is studied in the the context of an array of frictional disks that are pressed from above on a substrate. In this case the forces are all explicit…

Statistical Mechanics · Physics 2020-01-29 Harish Charan , Joyjit Chattoraj , Massimo Pica Ciamarra , Itamar Procaccia

We demonstrate that Multi-Body Dissipative Particle Dynamics (MDPD) can be used as an efficient computational tool for the investigation of nanoscale capillary impregnation of confined geometries. As an essential prerequisite, a novel model…

Soft Condensed Matter · Physics 2007-05-23 C. Cupelli , B. Henrich , M. Moseler , M. Santer