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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

Oscillating shape motion of a freely falling water droplet has long fascinated and inspired scientists. We propose dynamic non-linear equations for closed, two dimensional surfaces in gravity and apply it to analyze shape dynamics of freely…

Fluid Dynamics · Physics 2018-02-22 David V. Svintradze

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

Water droplet freezing is a common phenomenon in our daily life. In both natural scenarios and industrial production, different surface inclinations bring distinctive deformation and freezing dynamics to frozen droplets. We explore the…

Fluid Dynamics · Physics 2022-10-05 Hao Zeng , Sijia Lyu , Dominique Legendre , Chao Sun

We report experiments investigating the behaviour of micron-scale fluid droplets jetted onto surfaces patterned with lyophobic and lyophilic stripes. The final droplet shape depends on the droplet size relative to that of the stripes. In…

Soft Condensed Matter · Physics 2007-05-23 J. Leopoldes , A. Dupuis , D. G. Bucknall , J. M. Yeomans

We investigate the effect of gravity on the spreading of droplets of yield stress fluids, by performing both microgravity experiments (in a drop tower) and experiments under terrestrial gravity. We investigate the dependence of the final…

Fluid Dynamics · Physics 2025-07-08 Linnea Heitmeier , Olfa D'Angelo , Maziyar Jalaal , Thomas Voigtmann

Natural or industrial flows of a fluid often involve droplets or bubbles of another fluid, pinned by physical or chemical impurities or by the roughness of the bounding walls. Here we study numerically one drop pinned on a circular…

Fluid Dynamics · Physics 2018-10-15 Ludovic De Maio , Francois Dunlop

The Navier-Stokes equations and boundary conditions for viscous fluids of capillary size are formulated in curvilinear coordinates associated with a geometry of the fluid-gas interface. As a result, the fluid dynamics of drops and menisci…

Fluid Dynamics · Physics 2009-04-02 L. Yu. Barash

We study the rolling and sliding motion of droplets on a corrugated substrate by Molecular Dynamics simulations. Droplets are driven by an external body force (gravity) and we investigate the velocity profile and dissipation mechanisms in…

Soft Condensed Matter · Physics 2009-11-13 J. Servantie , M. Müller

We consider a liquid drop sitting on a rough solid surface at equilibrium, a volume constrained minimizer of the total interfacial energy. The large-scale shape of such a drop strongly depends on the micro-structure of the solid surface.…

Analysis of PDEs · Mathematics 2016-12-22 William M. Feldman , Inwon C. Kim

The impact and splash of liquid drops on solid substrates are ubiquitous in many important fields. However, previous studies have mainly focused on spherical drops while the non-spherical situations, such as raindrops, charged drops,…

Fluid Dynamics · Physics 2022-11-29 Qingzhe Liu , Jack Hau Yung Lo , Ye Li , Yuan Liu , Jinyu Zhao , Lei Xu

We study the equilibrium solutions of a sessile drop on top of a horizontal substrate when it is partially covered by another inmiscible liquid, so that part of the drop is in contact with a third fluid (typically, air). The shapes of the…

Fluid Dynamics · Physics 2022-11-11 Pablo D. Ravazzoli , Alejandro G. González , Javier A. Diez

We theoretically study the behavior of vesicles filled with a liquid of higher density than the surrounding medium, a technique frequently used in experiments. In the presence of gravity, these vesicles sink to the bottom of the container,…

Condensed Matter · Physics 2009-10-28 Martin Kraus , Udo Seifert , Reinhard Lipowsky

The article demonstrates that the internal circulation velocity and patterns in sessile droplets on superhydrophobic surfaces is governed by the surface curvature. Particle Image Velocimetry reveals that increasing convexity deteriorates…

Fluid Dynamics · Physics 2018-06-15 Gargi Khurana , A R Harikrishnan , Vivek Jaiswal , Purbarun Dhar

The shape of a weightless spinning liquid droplet is governed by the balance between the surface tension and centrifugal forces. The axisymmetric shape for slow rotation becomes unstable to a non-axisymmetric distortion above a critical…

Fluid Dynamics · Physics 2008-12-13 R. J. A. Hill , L. Eaves

A key question in the interaction of droplets with lubricated and liquid-infused surfaces is what determines the apparent contact angle of droplets. Previous work has determined this using measured values of the geometry of the `skirt' --…

Soft Condensed Matter · Physics 2022-06-03 Zhaohe Dai , Dominic Vella

In our fluid dynamics video, we demonstrate our method of visualizing and identifying various mode shapes of mechanically oscillated sessile drops. By placing metal mesh under an oscillating drop and projecting light from below, the drop's…

Fluid Dynamics · Physics 2013-10-17 Chun-Ti Chang , Susan Daniel , Paul H. Steen

The nature of adhesion of droplets to surfaces is a long pending scientific question. With the evolution of complex surfaces, quantification and prediction of these forces become intricate. Nevertheless, understanding these forces is highly…

Soft Condensed Matter · Physics 2021-10-14 David Feldmann , Bat-El Pinchasik

The oscillation instability of sessile drops is ubiquitous in surface acoustic wave (SAW)-powered digital microfluidics. Yet, the physics underlying these phenomena has not been elucidated owing to the interplay between hydrodynamics,…

In this work, we develop a novel model describing the equilibrium shape of sessile droplets on a wetted horizontal surface in a gravitational field. The model takes into account the intermolecular Lenard-Jones forces between solid and the…

Fluid Dynamics · Physics 2023-11-29 Leonid Pekker
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