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We investigate the Marangoni modulation of coupled Rayleigh-Taylor and Faraday instabilities in a vertically oscillated Newtonian liquid film carrying insoluble surfactants. Linear stability analysis using Floquet theory reveals that an…

流体动力学 · 物理学 2026-04-22 Jun Gao , Senlin Zhu , Luca Brandt , Jianjun Tao , Qingfei Fu , Lijun Yang

Motivated by microfluidic applications, we investigate drag reduction in laminar pressure-driven flows in channels with streamwise-periodic superhydrophobic surfaces (SHSs) contaminated with soluble surfactant. We develop a model in the…

In this paper, the instability of layered two-phase flows caused by the presence of a soluble surfactant (or a surface active solute) is studied. The fluids have different viscosities, but are density matched to focus on Marangoni effects.…

流体动力学 · 物理学 2016-03-29 Jason R. Picardo , Radhakrishna T. G. , S. Pushpavanam

The stability of a thin liquid film bounded by two free surfaces is examined in the presence of insoluble surface active agents. The surface active agents not only cause gradients in surface tension, but could also render surface viscosity…

流体动力学 · 物理学 2019-03-01 Anjishnu Choudhury , Venkatesh Kumar Paidi , Sreeram K. Kalpathy , Harish N. Dixit

A thermomechanical model of continuous fluid media based on second gradient theory is used to study motions in liquid-vapor interfaces. At equilibrium, the model is shown to be equivalent to mean-field molecular theories of capillarity. In…

流体动力学 · 物理学 2011-08-17 Henri Gouin

We report on the observation of freely decaying capillary wave turbulence on the surface of a fluid. The capillary wave turbulence spectrum decay is found to be self-similar in time with the same power law exponent than the one found in the…

流体动力学 · 物理学 2012-07-18 Luc Deike , Michaël Berhanu , Eric Falcon

Experiments indicate that microdroplets undergoing micellar solubilization in the bulk of surfactant solution may excite Marangoni flows and self-propel spontaneously. Surprisingly, self-propulsion emerges even when the critical micelle…

流体动力学 · 物理学 2020-06-09 Matvey Morozov

In this paper we try to work out in detail the implications of a microscopic theory for capillary waves under the assumption that the density is given along lines normal to the interface. Our study provides interface Hamiltonians for…

软凝聚态物质 · 物理学 2017-11-07 Luis G. MacDowell

This paper studies the existence and asymptotic behavior of global weak solutions for a thin film equation with insoluble surfactant under the influence of gravitational, capillary and van der Waals forces. We prove the existence of global…

偏微分方程分析 · 数学 2019-08-21 Gabriele Bruell , Rafael Granero-Belinchón

The dynamics of wetting and dewetting is largely determined by the velocity field near the contact lines. For water drops it has been observed that adding surfactant decreases the dynamic receding contact angle even at a concentration much…

Effects of spatially varying interfacial parameters on the propagation of surface waves are studied. These variations can arise from inhomogeneities in coverage of surface active substances such as amphiphillic molecules at the fluid/gas…

凝聚态物理 · 物理学 2009-10-22 T. Chou , David R. Nelson

In this paper we consider a layer of incompressible viscous fluid lying above a flat periodic surface in a uniform gravitational field. The upper boundary of the fluid is free and evolves in time. We assume that a mass of surfactants…

偏微分方程分析 · 数学 2016-06-10 Chanwoo Kim , Ian Tice

In this work, we investigate flow topology modifications produced by a swarm of large surfactant-laden droplets released in a turbulent channel flow. Droplets have same density and viscosity of the carrier fluid, so that only surface…

流体动力学 · 物理学 2023-09-26 Giovanni Soligo , Alessio Roccon , Alfredo Soldati

The effect of surfactants on the tail and film dynamics of elongated gas bubbles propagating through circular capillary tubes is investigated by means of an extensive three-dimensional numerical study using a hybrid front-tracking/level-set…

We examine the applicability of the weak wave turbulence theory in explaining experimental scaling results obtained for the diffusion and relative diffusion of particles moving on turbulent surface waves. For capillary waves our theoretical…

混沌动力学 · 物理学 2007-09-23 Victor M. Eguiluz , Mogens T. Levinsen , Preben Alstrom

Bringing the interfaces of two miscible fluids into contact naturally generates strong gradients in surface tension. Here we investigate such a Marangoni-driven flow by continuously supplying isopropyl alcohol (IPA) on a film of water,…

流体动力学 · 物理学 2013-12-24 José Federico Hernández-Sánchez , Antonin Eddi , J. H. Snoeijer

We study the effect of a viscous dissipation on the Cauchy problem for a Cattaneo-type model in nonlinear acoustics, established by applying the Lighthill approximation for the viscous or inviscid fluid model. The contribution of this paper…

偏微分方程分析 · 数学 2023-08-15 Wenhui Chen , Yan Liu , Alessandro Palmieri , Xulong Qin

We have established previously, in a lead-in study, that the spreading of liquids in particulate porous media at low saturation levels, characteristically less than 10% of the void space, has very distinctive features in comparison to that…

流体动力学 · 物理学 2018-08-21 Penpark Sirimark , Alex V. Lukyanov , Tristan Pryer

Of concern is the study of a system of three equations describing the motion of a viscous complete wetting two-phase thin film endowed with a layer of insoluble surfactant on the surface of the upper fluid under the effects of capillary…

偏微分方程分析 · 数学 2016-08-30 Gabriele Bruell

We derive transport equations for the propagation of water wave action in the presence of a static, spatially random surface drift. Using the Wigner distribution $\W(\x,\k,t)$ to represent the envelope of the wave amplitude at position $\x$…

流体动力学 · 物理学 2007-05-23 Guillaume Bal , Tom Chou