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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

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 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

On the surface of a vibrating liquid bath, instead of coalescing, a drop will continually bounce on a thin film of air between the drop and the free surface, giving rise to rich chaotic dynamics and quantum analog behavior. However,…

Fluid Dynamics · Physics 2025-08-18 Lebo Molefe , Tomas Fullana , François Gallaire , John M. Kolinski

This theoretical and numerical study focuses on the physical mechanisms driving the retraction of levitating Newtonian micrometric/millimetric/centimetric drops surrounded by air and under zero-gravity conditions. The drops present a…

Fluid Dynamics · Physics 2024-10-08 Kindness Isukwem , Elie Hachem , Anselmo Pereira

It has been shown in our previous publication (Blawzdziewicz,Cristini,Loewenberg,2003) that high-viscosity drops in two dimensional linear creeping flows with a nonzero vorticity component may have two stable stationary states. One state…

Soft Condensed Matter · Physics 2015-05-13 Yuan N. Young , Jerzy Blawzdziewicz , Vitorio Cristini , Roy Goodman

In recent decades novel solid substrates have been designed which change their wettability in response to light or an electrostatic field. Here, we investigate a droplet on substrates with oscillating uniform wettability by varying minimium…

Fluid Dynamics · Physics 2021-10-28 Josua Grawitter , Holger Stark

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 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

A `star drop' refers to the patterns created when a drop, flattened by some force, is excited into shape mode oscillations. These patterns are perhaps best understood as the two dimensional analog to the more common three dimensional shape…

Fluid Dynamics · Physics 2013-11-01 Weiyu Ran , Steven Fredericks , John R. Saylor

Hypothesis: Surrounding fluids affect critically drop wetting dynamics in many applications involving viscous environments. Although macroscopic effects of outer fluid viscosity on contact line motion have been documented, the extent to…

Fluid Dynamics · Physics 2025-12-15 Yingjie Fei , Qindan Zhang , Youguang Ma , Huai-Zhi Li

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

When a drop of a leaky dielectric fluid is suspended in another fluid and subjected to a uniform DC electric field, it becomes polarized, leading to tangential electric stresses that drive fluid motion both inside and outside the drop. In…

Fluid Dynamics · Physics 2025-05-19 Michael A. McDougall , Stephen K. Wilson , Debasish Das

In the present study, the axisymmetric natural oscillations of a liquid drop supported by a flat surface is investigated by direct numerical simulation. The liquid-gas interface is captured using a geometric volume-of-fluid (VOF) method. A…

Fluid Dynamics · Physics 2023-11-16 Jordan Sakakeeny , Yue Ling

We present a comprehensive experimental and theoretical investigation of the evaporation dynamics of freely levitated water droplets in an upward airstream under varying temperature and relative humidity conditions, using a custom-designed…

Dripping dynamics has been well studied over the past century and forms a classic example of chaotic system in physics. With an increase in the inlet flow rate, periodic droplet formation from a faucet becomes chaotic in terms of the…

Fluid Dynamics · Physics 2025-07-10 Kishorkumar Sarva , Tejas G Murthy , Gaurav Tomar

We report a new type of drop instability, where the density difference between the drop and the solvent is negative. We show that the drop falls inside the solvent down to a minimum height, then fragmentation takes place and secondary…

Chaotic Dynamics · Physics 2016-08-16 Paul K. Buah-Bassuah , René Rojas , Stefania Residori , Fortunato Tito Arecchi

Liquid drops start spreading directly after coming into contact with a solid sub- strate. Although this phenomenon involves a three-phase contact line, the spread- ing motion can be very fast. We experimentally study the initial spreading…

Fluid Dynamics · Physics 2015-06-11 Antonin Eddi , Koen G. Winkels , Jacco H. Snoeijer

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

We analyze the migration characteristics of a droplet in an oscillatory flow field in a parallel plate micro-confinement. Using phase filed formalism, we capture the dynamical evolution of the droplet over a wide range of the frequency of…

Fluid Dynamics · Physics 2016-02-17 Kaustav Chaudhury , Shubhadeep Mandal , Suman Chakraborty
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