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In this paper we study the well-posedness and long-time dynamics of a diffuse-interface model for the mixture of two viscous incompressible Newtonian fluids with thermo-induced Marangoni effects. The governing system consists of modified…

偏微分方程分析 · 数学 2013-02-26 Hao Wu , Xiang Xu

It was noticed in the past that, to avoid physical inconsistencies, in Marcatili's lossless tapers through-flowing waves must be drastically different from standing waves. First, we reconfirm this by means of numerical results based on an…

光学 · 物理学 2015-06-26 A. D. Capobianco , M. Midrio , C. G. Someda , S. Curtarolo

We explore hydrodynamic interactions between microswimmers and corrugated, or rough, surfaces, as found often in biological systems and microfluidic devices. Using the Lorentz reciprocal theorem for viscous flows we derive exact expressions…

软凝聚态物质 · 物理学 2022-08-10 Christina Kurzthaler , Howard A. Stone

We study large traveling surface waves within a two-dimensional finite depth, free boundary, homogeneous, incompressible and viscous fluid governed by Darcy's law. The fluid is bound by a gravitational force to a flat rigid bottom and meets…

偏微分方程分析 · 数学 2026-01-21 Huy Q. Nguyen , Noah Stevenson

We review here the derivation of many of the most important models that appear in the literature (mainly in coastal oceanography) for the description of waves in shallow water. We show that these models can be obtained using various…

偏微分方程分析 · 数学 2020-04-22 David Lannes

Generation of wave structures by a two-dimensional object (laser beam) moving in a two-dimensional two-component Bose-Einstein condensate with a velocity greater than both sound velocities of the mixture is studied by means of analytical…

其他凝聚态物理 · 物理学 2009-11-13 Yu. G. Gladush , A. M. Kamchatnov , Z. Shi , P. G. Kevrekidis , D. J. Frantzeskakis , B. A. Malomed

Mass transfer of gaseous components from rising bubbles to the ambient liquid depends not only on the chemical potential difference of the transfer component but also on the interfacial free energy and composition. The latter is strongly…

流体动力学 · 物理学 2026-01-28 Dieter Bothe , Akio Tomiyama

In this work, we study the effect of insoluble surfactants on the three-dimensional rim-driven retraction dynamics of thin water sheets in air. We employ an interface-tracking/level-set method to ensure the full coupling between the…

There has been significant recent interest in the study of water waves coupled with non-zero vorticity. We derive analytical approximations for the exponentially-small free-surface waves generated in two-dimensions by one or several…

流体动力学 · 物理学 2023-03-22 Josh Shelton , Philippe H. Trinh

We propose a theoretical model which relies on the generalized Langevin equation and may account for various dynamical features of the thermal motion of organelles, vesicles or macromolecules in viscoelastic media such as polymer networks.…

软凝聚态物质 · 物理学 2020-01-03 Denis S. Grebenkov , Mahsa Vahabi , Elena Bertseva , Laszlo Forro , Sylvia Jeney

Photoresponsive surfactants provide a unique microfluidic driving mechanism. Since their molecular shapes change under illumination and thereby affect surface tension of fluid interfaces, Marangoni flow along the interface occurs. To…

软凝聚态物质 · 物理学 2018-11-08 Josua Grawitter , Holger Stark

In this paper it is shown that the location of the characteristic overshoot of the Richardson's annular effect changes with the Kinematic Reynolds number $\omega^*=\omega r_0^2 /\nu$ in the range of frequencies within the laminar regime.…

流体动力学 · 物理学 2012-07-09 F. J. Camacho , R. Martinez , L. Rendon

We present a numerical study of the main sub-stages preceding aerosol formation via bursting bubbles: capillary wave propagation along the bubble, convergence at the bubble's apex, the ascent of a Worthington jet and its break-up to release…

流体动力学 · 物理学 2024-04-16 Paula Pico , Lyes Kahouadji , Seungwon Shin , Jalel Chergui , Damir Juric , Omar K. Matar

We study the statistics of free-surface turbulence at large Reynolds numbers produced by direct numerical simulations in a fluid layer at different thickness with fixed characteristic forcing scale. We observe the production of a transient…

流体动力学 · 物理学 2022-12-12 G. Boffetta , A. Mazzino , S. Musacchio , M. E. Rosti

Thin liquid films are ubiquitous across many natural and engineering systems, including films which are laden with surface active molecules, i.e. surfactants. The presence of surfactants may have a destabilising effect on the film owing to…

统计力学 · 物理学 2026-05-25 Toby Kay , Serafim Kalliadasis

Using water/salty-water laboratory experiments}, we investigate the mechanism of erosion by a turbulent jet impinging on a density interface, for moderate Reynolds and Froude numbers. Contrary to previous models involving baroclinic…

流体动力学 · 物理学 2017-02-01 Johann Herault , Giulio Facchini , Michael Le Bars

We propose that the properties of glass transition can be understood on the basis of elastic waves. Elastic waves originating from atomic jumps in a liquid propagate local expansion due to the anharmonicity of interatomic potential. This…

无序系统与神经网络 · 物理学 2015-05-13 Kostya Trachenko , V. V. Brazhkin

We present a theory for the self-propulsion of symmetric, half spherical Marangoni boats (soap or camphor boats) at low Reynolds numbers. Propulsion is generated by release (diffusive emission or dissolution) of water-soluble surfactant…

流体动力学 · 物理学 2021-04-29 Hendrik Ender , Jan Kierfeld

A two-layer fluid system separated by a pycnocline in the form of an internal wave is considered. The lower layer is infinitely deep, with a higher density than the upper layer which is bounded above by a flat surface. The fluids are…

偏微分方程分析 · 数学 2019-05-20 Alan C. Compelli , Rossen I. Ivanov

Active colloids are microscopic particles, which self-propel through viscous fluids by converting energy extracted from their environment into directed motion. We first explain how articial microswimmers move forward by generating…

软凝聚态物质 · 物理学 2016-05-12 Andreas Zöttl , Holger Stark