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We study numerically the influence of contact angle on slow evaporation in two-dimensional model porous media. For sufficiently low contact angles, the drying pattern is fractal and can be predicted by a simple model combining the invasion…

Soft Condensed Matter · Physics 2009-03-11 Hamza Chraibi , M. Prat , O. Chapuis

We present a comprehensive study of water drops sliding down chemically heterogeneous surfaces formed by a periodic pattern of alternating hydrophobic and hydrophilic stripes. Drops are found to undergo a stick-slip motion whose average…

A droplet that impacts onto a solid substrate deforms in a complex dynamics. To extract the principal mechanisms that dominate this dynamics we deploy numerical simulations based on the phase field method. Direct comparison with experiments…

Fluid Dynamics · Physics 2017-04-05 Yuli Wang , Gustav Amberg , Andreas Carlson

We present a molecular dynamics study of the motion of cylindrical polymer droplets on striped surfaces. We first consider the equilibrium properties of droplets on different surfaces, we show that for small stripes the Cassie-Baxter…

Soft Condensed Matter · Physics 2019-08-28 Ozlem Ozturk , James Servantie

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

Droplet deposition onto a hydrophobic surface is studied experimentally and numerically. A wide range of droplet sizes can result from the same syringe, depending strongly on the needle retraction speed. Three regimes are identified…

Fluid Dynamics · Physics 2015-05-13 Bian Qian , Melissa Loureiro , David Gagnon , Anubhav Tripathi , Kenneth S. Breuer

We examine theoretically the spreading of a viscous liquid drop over a thin film of uniform thickness, assuming the liquid's viscosity is regulated by the concentration of a solute that is carried passively by the spreading flow. The solute…

Fluid Dynamics · Physics 2017-05-09 Feng Xu , Oliver E. Jensen

We investigate a one-dimensional model describing the motion of liquid drops sliding down an inclined plane (the so-called quasi-static approximation model). We prove existence and uniqueness of a solution and investigate its long time…

Analysis of PDEs · Mathematics 2012-03-15 Inwon Kim , Antoine Mellet

In this article, we describe the instability of a contact line under nonequilibrium conditions mainly based on the results of our recent studies. Two experimental examples are presented: the self-propelled motion of a liquid droplet and…

Fluid Dynamics · Physics 2012-08-23 Yong-Jun Chen , Kenichi Yoshikawa

Classical hydrodynamic models predict that infinite work is required to move a three-phase contact line, defined here as the line where a liquid/vapor interface intersects a solid surface. Assuming a slip boundary condition, in which the…

The effect of freezing on contact line motion is a scientific challenge in the understanding of the solidification of capillary flows. In this letter, we experimentally investigate the spreading and freezing of a water droplet on a cold…

Fluid Dynamics · Physics 2022-07-13 R. Grivet , A. Monier , A. Huerre , C. Josserand , T. Séon

We study the interaction of a liquid drop with an elastic beam in the case where bending effects dominate. We use a variational approach to derive equilibrium equations for the system in the presence of gravity and in the presence or…

Soft Condensed Matter · Physics 2013-07-26 Sebastien Neukirch , Arnaud Antkowiak , Jean-Jacques Marigo

We consider a thin droplet that spreads over a flat, horizontal and chemically heterogeneous surface. The droplet is subjected to changes in its volume though a prescribed, arbitrary spatiotemporal function, which varies slowly and vanishes…

Fluid Dynamics · Physics 2021-12-21 Nikos Savva , Danny Groves

Existing models for droplet impact prescribe the spreading contact time and effective spreading velocity from asymptotic arguments, which prevents a self-consistent prediction of the maximum spreading ratio across regimes. Here, the total…

Fluid Dynamics · Physics 2026-05-13 Mete Abbot , Daniel Bonn

As was shown in an earlier paper [1], solids dispersed in a drying drop migrate to the (pinned) contact line. This migration is caused by outward flows driven by the loss of the solvent due to evaporation and by geometrical constraint that…

Soft Condensed Matter · Physics 2007-05-23 Yuri O. Popov , Thomas A. Witten

Evaporation of water droplets on a superhydrophobic substrate, on which the contact line is pinned, is investigated. While previous studies mainly focused on droplets with contact angles smaller than 90^\circ, here we analyze almost the…

We use a free energy lattice Boltzmann approach to investigate numerically the dynamics of drops moving across superhydrophobic surfaces. The surfaces comprise a regular array of posts small compared to the drop size. For drops suspended on…

Soft Condensed Matter · Physics 2009-11-11 A. Dupuis , J. M. Yeomans

Slide electrification - the spontaneous charge separation by sliding water drops - can lead to an electrostatic potential of 1 kV and change drop motion substantially. To find out, how slide electrification influences the contact angles of…

Soft Condensed Matter · Physics 2023-12-05 Xiaomei Li , Aaron D. Ratschow , Steffen Hardt , Hans-Jürgen Butt

We report an experimental investigation of the spontaneous motion of liquid droplets on soft gels with a crosslinking gradient. By systematically adjusting the spatial difference in crosslinking density, we observed that millimeter-sized…

Soft Condensed Matter · Physics 2025-01-29 Weiwei Zhao , Wenjie Qian , Chang Xu , Qin Xu

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