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'A basic and basically unsolved problem in fluid dynamics is to determine the evolution of rising bubbles and falling drops of one miscible liquid in another' [1]. Here, we address this important literature gap and present the first theory…

流体动力学 · 物理学 2023-05-11 Jan Martin Nordbotten , Endre Joachim Lerheim Mossige

We address the dynamics of a drop with viscosity $\lambda \eta$ breaking up inside another fluid of viscosity $\eta$. For $\lambda=1$, a scaling theory predicts the time evolution of the drop shape near the point of snap-off which is in…

流体动力学 · 物理学 2009-10-31 Itai Cohen , Michael P. Brenner , Jens Eggers , Sidney R. Nagel

Collisions between a stream of drops and a continuous jet of a different liquid are experimentally investigated. In contrast to previous studies, our work focuses on the effects of liquid miscibility and wettability on the collision…

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…

流体动力学 · 物理学 2007-05-23 Y. I. Frenkel

We study the instability development during a viscous liquid drop impacting a smooth substrate, using high speed photography. The onset time of the instability highly depends on the surrounding air pressure and the liquid viscosity: it…

流体动力学 · 物理学 2010-09-01 Lei Xu

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…

偏微分方程分析 · 数学 2012-03-15 Inwon Kim , Antoine Mellet

Drop deformation in shear flow is determined up to second order theory in Ca while considering kinetic effects on surfactants distributions in steady state. Surfactants inside the drop are adsorbed faster than those on the surface leading…

软凝聚态物质 · 物理学 2024-10-24 Paul Regazzi , Marc Leonetti

The process of drop formation from a nozzle can be seen in many natural systems and engineering applications. Here, we investigate the formation of a liquid droplet from a wettable nozzle. The behavior of a drop is complicated due to an…

流体动力学 · 物理学 2015-05-27 Brian Chang , Gary Nave , Sunghwan Jung

Liquid drops can be kept from touching a plane solid surface by a gas stream entering from underneath, as it is observed for water drops on a heated plate, kept aloft by a stream of water vapor. We investigate the limit of small flow rates,…

流体动力学 · 物理学 2009-11-13 Jacco H. Snoeijer , Philippe Brunet , Jens Eggers

The short-term transient falling dynamics of a dripping water drop in quiescent air has been investigated through both simulation and experiment. The focus is on the short term behavior and the time range considered covers about eight…

流体动力学 · 物理学 2020-03-18 Bo Zhang , Pei-Hsun Tsai , An-Bang Wang , Stéphane Popinet , Stéphane Zaleski , Yue Ling

The impact of nanometer sized drops on solid surfaces is studied using molecular dynamics simulations. Equilibrated floating drops consisting of short chains of Lennard-Jones liquids with adjustable volatility are directed normally onto an…

软凝聚态物质 · 物理学 2015-06-11 Joel Koplik , Rui Zhang

The impact of a heavier droplet into a deep pool of lighter liquid is investigated using three-dimensional numerical simulations. Unprecedented to any numerical simulations, we demonstrate that the heavier droplets can hang from the surface…

流体动力学 · 物理学 2023-03-29 Piyush Singh , Anikesh Pal , Narinder Singh

Motivated by recent experiments, we consider theoretically the compression of droplets pinned at the bottom on a surface of finite area. We show that if the droplet is sufficiently compressed at the top by a surface, it will always develop…

流体动力学 · 物理学 2017-08-03 Gwynn J. Elfring , Eric Lauga

We explore the evolution of a splash when a liquid drop impacts a smooth, dry surface. There are two splashing regimes that occur when the liquid viscosity is varied, as is evidenced by its dependence on ambient gas pressure. A…

软凝聚态物质 · 物理学 2015-06-18 Cacey S. Stevens , Andrzej Latka , Sidney R. Nagel

In most spray coating and deposition applications, the target surface may be initially dry but with continuous drop impact a thin layer of liquid film is formed on which further impingement occurs. An experimental study of the process of…

流体动力学 · 物理学 2023-10-05 Sucharitha Rajendran , MA Jog , RM Manglik

Using direct numerical simulations, the fragmentation of falling liquid droplets in a quiescent media is studied. Three simulations with different Eotvos numbers were performed. An adaptive volume of fluid(VOF) method based on octree…

流体动力学 · 物理学 2011-10-18 M. Jalaal , M. Schwalbach , K. Mehravaran

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…

流体动力学 · 物理学 2016-12-15 Sebastian Engelnkemper , Markus Wilczek , Svetlana V. Gurevich , Uwe Thiele

The evolution of suspension drops sedimenting under gravity in a viscous fluid close to a vertical wall was studied experimentally and numerically with the use of the point-force model, in the Stokes flow regime. The fluid inside and…

流体动力学 · 物理学 2015-05-27 Anna Mylyk , Walter Meile , Gunter Brenn , Maria L. Ekiel-Jezewska

A fluid droplet in general deforms, if subject to active driving, such as a finite slip velocity or active tractions on its interface. We show that these deformations and their dynamics can be computed analytically in a perturbation theory…

软凝聚态物质 · 物理学 2023-04-19 Reiner Kree , Annette Zippelius

Hypothesis: Immiscible liquids are commonly used to achieve unique functions in many applications, where the breakup of compound droplets in airflow is an important process. Due to the existence of the liquid-liquid interface, compound…

流体动力学 · 物理学 2023-12-27 Zhikun Xu , Yue Zhang , Tianyou Wang , Zhizhao Che
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