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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

In an effort to study the stability of contact lines in fluids, we consider the dynamics of a drop of incompressible viscous Stokes fluid evolving above a one-dimensional flat surface under the influence of gravity. This is a free boundary…

Analysis of PDEs · Mathematics 2019-07-15 Ian Tice , Lei Wu

The star-shaped oscillation of water drops has been observed in various physical situations with different sources of vertical excitation. Previous studies apply a quasi-2D model to analyze the resonance frequency and only consider the…

Fluid Dynamics · Physics 2026-03-02 Jiahao Dong , Yuping Liu , Qian Xu , Yinlong Wang , Sihui Wang

Superhydrophobicity relies on the stability of drops's interfaces pinned on sharp edges to sustain non-wetting (Cassie-Baxter) equilibrium states. Gibbs already pointed out that equilibrium is possible as long as the pinning angle at the…

Fluid Dynamics · Physics 2019-08-26 José Graña Otero , Ignacio E. Parra Fabián

Liquid drops that are pinned to solid surfaces by contact-angle hysteresis can be dislodged by wind forcing. When this occurs at high Reynolds numbers, substantial drop-interface oscillations precede depinning. It has been hypothesized that…

Fluid Dynamics · Physics 2021-05-11 Roger L. Simon, , Edward B. White

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

The size distribution of aerosol droplets is a key parameter in a myriad of processes, and it is typically measured with optical aids (e.g., lasers or cameras) that require sophisticated calibration, thus making the measurement cost…

Fluid Dynamics · Physics 2025-10-23 Avshalom Offner

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

Simple models of clarinet instruments based on iterated maps have been used in the past to successfully estimate the threshold of oscillation of this instrument as a function of a constant blowing pressure. However, when the blowing…

Classical Physics · Physics 2014-07-15 Baptiste Bergeot , André Almeida , Christophe Vergez

The excess low-frequency normal modes for two widely-used models of glasses were studied at zero temperature. The onset frequencies for the anomalous modes for both systems agree well with predictions of a variational argument, which is…

Soft Condensed Matter · Physics 2007-05-23 Ning Xu , Matthieu Wyart , Andrea J. Liu , Sidney R. Nagel

We study the rebound of drops impacting non-wetting substrates at low Weber number $We$ through experiment, direct numerical simulation, and reduced-order modeling. Submillimeter-sized drops are normally impacted onto glass slides coated…

We investigate bubble deformations in an homogeneous and isotropic turbulent flow by means of direct numerical simulations of a single bubble in turbulence. We examine interface deformations by decomposing the local radius into the…

Fluid Dynamics · Physics 2024-07-24 Aliénor Rivière , Kamel Abahri , Stéphane Perrard

Simple models of clarinet instruments based on iterated maps have been used in the past to successfully estimate the threshold of oscillation of this instrument as a function of a constant blowing pressure. However, when the blowing…

Classical Physics · Physics 2014-07-16 Baptiste Bergeot , André Almeida , Christophe Vergez , Bruno Gazengel

So far, several physical models have been proposed for the study of vocal fold oscillations during phonation. The parameters of these models, such as vocal fold elasticity, resistance, etc. are traditionally determined through the…

Sound · Computer Science 2020-02-13 Wenbo Zhao , Rita Singh

The spreading of liquid drops on surfaces corrugated with micron-scale parallel grooves is studied both experimentally and numerically. Because of the surface patterning, the typical final drop shape is no longer spherical. The elongation…

Soft Condensed Matter · Physics 2008-09-25 H. Kusumaatmaja , R. J. Vrancken , C. W. M. Bastiaansen , J. M. Yeomans

This paper presents a theoretical study of oscillatory and rotational instabilities of a solid spherical body, levitated electromagnetically in axisymmetric coils made of coaxial circular loops. We apply our previous theory to analyze the…

Classical Physics · Physics 2007-05-23 J. Priede , G. Gerbeth

The contact angle of a fluid droplet on an heterogeneous surface is analysed using the statistical dynamics of the spreading contact line. The statistical properties of the final droplet radius and contact angle are obtained through…

Soft Condensed Matter · Physics 2015-06-05 Mikko J. Alava , Martin Dube

The directional motion of sessile drops can be induced by slanted mechanical vibrations of the substrate. As previously evidenced \cite{Brunet07,Brunet09,Noblin09}, the mechanical vibrations induce drop deformations which combine…

Fluid Dynamics · Physics 2020-02-12 Maxime Costalonga , Philippe Brunet

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

A vessel is plunged upside down into a pool of 50 cSt silicone oil. An air bell is then created. This bell is vertically shaken at 60 Hz that leads to the oscillation of the air/oil interface. The edges of the immersed vessel generate…

Fluid Dynamics · Physics 2010-10-18 D. Terwagne , G. Delon , N. Adami , N. Vandewalle , H. Caps , S. Dorbolo