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The viscous fingering instability, which forms when a less-viscous fluid invades a more-viscous one within a confined geometry, is an iconic system for studying pattern formation. For both miscible and immiscible fluid pairs the growth…

流体动力学 · 物理学 2025-02-25 Savannah D. Gowen , Thomas E. Videbaek , Sidney R. Nagel

By solving a simple kinetic equation, in the relaxation time approximation, and for a particular set of moments of the distribution function, we establish a set of equations which, on the one hand, capture exactly the dynamics of the…

核理论 · 物理学 2018-03-07 Jean-Paul Blaizot , Li Yan

Microdrop impact and spreading phenomena are explored as an interface formation process using a recently developed computational framework. The accuracy of the results obtained from this framework for the simulation of high deformation…

流体动力学 · 物理学 2015-06-04 J. E. Sprittles , Y. D. Shikhmurzaev

This study examines the stability of a flexible material interface between two fluids of the same viscosity in interaction with a free surface. When the layers are motionless, we provide evidence for the onset of a novel instability by…

流体动力学 · 物理学 2024-11-05 Joris Labarbe

The boundary conditions at the deformable interface between two contacting fluids are derived for the general case of the large-amplitude perturbations. The interface is modeled as perturbed free boundary that evolves in time, and the…

流体动力学 · 物理学 2018-03-13 Ivan V. Kazachkov

In this paper we construct small amplitude periodic internal waves traveling at the boundary region between two rotational and homogeneous fluids with different densities. Within a period, the waves we obtain have the property that the…

偏微分方程分析 · 数学 2012-02-15 Anca-Voichita Matioc

Understanding the interface dynamics in non-equilibrium quantum systems remains a challenge. We study the interface dynamics of strongly coupled immiscible binary superfluids by using holographic duality. The full nonlinear evolution of the…

量子气体 · 物理学 2024-05-30 Yu-Ping An , Li Li , Chuan-Yin Xia , Hua-Bi Zeng

Experiments and computer simulations have established that liquid water's surfaces can deviate in important ways from familiar bulk behavior. Even in the simplest case of an air-water interface, distinctive layering, orientational biases,…

软凝聚态物质 · 物理学 2022-07-15 Nathan L. Odendahl , Phillip L. Geissler

A previously unreported regime of type III intermittency is observed in a vertically vibrated milliliter-sized liquid drop submerged in a more viscous and less dense immiscible fluid layer supported by a hydrophobic solid plate. As the…

流体动力学 · 物理学 2021-02-03 Andrey Pototsky , Ivan S. Maksymov , Sergey A. Suslov , Justin Leontini

We consider the flotation of deformable, non-wetting drops on a liquid interface. We consider the deflection of both the liquid interface and the droplet itself in response to the buoyancy forces, density difference and the various surface…

软凝聚态物质 · 物理学 2017-08-10 Clint Y. H. Wong , Mokhtar Adda-Bedia , Dominic Vella

We consider a coupled system of partial differential equations describing the interactions between a closed free interface and two viscous incompressible fluids. The fluids are assumed to satisfy the incompressible Navier-Stokes equations…

最优化与控制 · 数学 2023-08-01 Sebastien Court

We study the effect of interactions between objects floating at fluid interfaces, for the case in which the objects are primarily supported by surface tension. We give conditions on the density and size of these objects for equilibrium to…

流体动力学 · 物理学 2007-05-23 Dominic Vella , Paul Metcalfe , Robert Whittaker

We revisit here the stability of a deformable interface that separates a fully-developed turbulent gas flow from a thin layer of laminar liquid. Unlike previous work, the turbulent base state velocity profile proposed here requires only a…

流体动力学 · 物理学 2016-11-26 Lennon Ó Náraigh , Peter Spelt , Omar Matar , Tamer Zaki

Lift force of viscous origin is widespread across disciplines, from mechanics to biology. Here, we present the first direct measurement of the lift force acting on a particle moving in a viscous fluid along the liquid interface that…

The onset and development of instabilities is one of the central problems in fluid mechanics. Here we develop a connection between instabilities of free fluid interfaces and inverted pendula. When acted upon solely by the gravitational…

流体动力学 · 物理学 2017-06-20 Madison Ski Krieger

When the liquid has a free interface and is heated nonuniformly then besides the gravitational convection a different motion appears. This kind of a motion is originated because of a gradient of the surface tension over the liquid…

流体动力学 · 物理学 2013-03-04 A. I. Fedosov

When immiscible wetting and non-wetting fluids move in parallel in a porous medium, an instability may occur at sufficiently high capillary numbers so that interfaces between the fluids initially held in place by the porous medium are…

无序系统与神经网络 · 物理学 2009-11-13 Thomas Ramstad , Alex Hansen

We present a numerical study of emulsions in homogeneous and isotropic turbulence at $Re_\lambda=137$. The problem is addressed via Direct Numerical Simulations (DNS), where the Volume of Fluid (VOF) is used to represent the complex…

流体动力学 · 物理学 2023-01-09 Marco Crialesi-Esposito , Marco Edoardo Rosti , Sergio Chibbaro , Luca Brandt

There is mounting evidence indicating that relaxation dynamics in liquids approaching their glass transition not only becomes increasingly cooperative (1,2) but the relaxing regions also become more compact in shape(3-7). While the surface…

统计力学 · 物理学 2018-02-21 Divya Ganapathi , Hima K Nagamanasa , A. K. Sood , Rajesh Ganapathy

Motivated by studies suggesting that the patterns exhibited by the collectively expanding fronts of thin cells during the closing of a wound [Mark et al., Biophys. J., 98:361-370, 2010] and the shapes of single cells crawling on surfaces…

软凝聚态物质 · 物理学 2018-03-14 Amarender Nagilla , Ranganathan Prabhakar , Sameer Jadhav