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Molecular dynamics simulation is used for studying the contact angle of nanoscale sessile drops on a planar solid wall in a system interacting via the truncated and shifted Lennard-Jones potential. The entire range between total wetting and…

Mesoscale and Nanoscale Physics · Physics 2015-07-28 Stefan Becker , Herbert M. Urbassek , Martin Horsch , Hans Hasse

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

When sessile droplets are excited by ultrasonic traveling surface acoustic waves (SAWs), they undergo complex dynamics with both oscillations and translational motion. While the nature of the Rayleigh-Lamb quadrupolar drop oscillations has…

Fluid Dynamics · Physics 2016-05-18 Adrien Bussonière , Michael Baudoin , Philippe Brunet , Olivier Bou Matar

We simulate the mesoscopic dynamics of droplets formed by phase separated fluids at nanometer scales where thermal fluctuations are significant. Both spherical droplets fully immersed in a second fluid and sessile droplets which are also in…

Fluid Dynamics · Physics 2024-11-18 John B. Bell , Andrew Nonaka , Alejandro L. Garcia

The present work investigates free damped oscillations of an oil drop in water after its release from a capillary tube. Both pure heptane drops and diluted crude oil drops are considered (in the second case the interface is covered by…

This contribution reports on numerical simulations of 2D granular flows on erodible beds. The broad aim is to investigate whether simple flows of model granular matter exhibits spontaneous oscillatory motion in generic flow conditions, and…

Soft Condensed Matter · Physics 2012-11-27 Lydie Staron

Phase field theory is widely used to model multi-phase flows. A drop can shrink or grow spontaneously due to the redistribution of interface and bulk energies to minimize the system energy. In this paper, the spontaneous behaviour of a drop…

Fluid Dynamics · Physics 2019-12-18 Chunhua Zhang , Zhaoli Guo

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 evaporation of sessile droplets on a flat surface involves a complex interplay between phase change, diffusion, advection and surface forces. In an attempt to significantly reduce the complexity of the problem and to make it manageable,…

Soft Condensed Matter · Physics 2019-04-19 Thijs W. G. van der Heijden , Anton A. Darhuber , Paul van der Schoot

We analyse small-amplitude oscillations of a weakly viscous electrically conducting liquid drop in a strong uniform DC magnetic field. An asymptotic solution is obtained showing that the magnetic field does not affect the shape eigenmodes,…

Fluid Dynamics · Physics 2011-03-21 Jānis Priede

This study investigates the oscillation behavior of a sessile drop placed on a hydrophobic substrate subjected to vertical vibrations with varying frequencies and amplitudes. We examined the responses of both Newtonian and viscoelastic…

Fluid Dynamics · Physics 2025-09-16 Peyman Rostami , Alfonso A. Castrejón-Pita , Günter K. Auernhammer

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,…

The linear natural and forced oscillations of a hemispherical bubble on a solid substrate are under theoretical consideration. The contact line dynamics is taken into account with the Hocking condition, which eventually leads to interaction…

Fluid Dynamics · Physics 2008-05-20 Sergey Shklyaev , Arthur V. Straube

The effects of line tension on the morphology of a sessile droplet placed on top of a convex spherical substrate are studied. The morphology of the droplet is determined from the global minimum of the Helmholtz free energy. The contact…

Soft Condensed Matter · Physics 2016-05-25 Masao Iwamatsu

The present paper is devoted to a theoretical analysis of sliding friction under the influence of oscillations perpendicular to the sliding plane. In contrast to previous works we analyze the influence of the stiffness of the tribological…

Chaotic Dynamics · Physics 2017-03-23 Mikhail Popov , Valentin L. Popov , Nikita V. Popov

Liquid droplets sliding along solid surfaces are a frequently observed phenomenon in nature, e.g., raindrops on a leaf, and in everyday situations, e.g., drops of water in a drinking glass. To model this situation, we use a phase field…

Computational Physics · Physics 2019-10-23 Henning Bonart , Christian Kahle , Jens-Uwe Repke

Contact angle hysteresis of droplets will be examined in light of static friction between liquid drop and solid surface. Unlike frictions in solid-solid interfaces, pinning forces at contact points or contact lines would be the cause of…

Fluid Dynamics · Physics 2024-12-03 Jong-In Yang , Jooyoo Hong

We study experimentally the dynamics of a water droplet on a tilted and vertically oscillating rigid fibre. As we vary the frequency and amplitude of the oscillations the droplet transitions between different modes: harmonic pumping,…

Fluid Dynamics · Physics 2023-08-02 Stéphane Poulain , Andreas Carlson

Deformed droplets are ubiquitous in various industrial applications, such as inkjet printing, lab-on-a-chip devices, and spray cooling, and can fundamentally affect the involved applications both favorably and unfavorably. Here, we employ…

We have performed a simulation study of 3D cohesionless granular flows down an inclined chute. We find that the oscillations observed in [L.E. Silbert, Phys. Rev. Lett., 94, 098002 (2005)] near the angle of repose are harmonic vibrations of…

Soft Condensed Matter · Physics 2015-06-03 Patrick Richard , Sean Mcnamara , Merline Tankeo