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We study the influence of capillary effects on the motion of thin elastic plates denser than water drifting in propagating surface gravity waves. Such floaters experience a mean angular drift that rotates them toward two preferential…

流体动力学 · 物理学 2026-04-28 Basile Dhote , Ewen Le Ster , Wietze Herreman , Frédéric Moisy

Lubrication equations for a surfactant-driven flow of a thin layer of fluid are considered with a singular surfactant-dependent surface tension. It is shown that there exists a bounded traveling wave solution which connects a fully…

偏微分方程分析 · 数学 2014-01-15 Joachim Escher , Matthieu Hillairet , Philippe Laurencot , Christoph Walker

During comprehensive study of weakly nonlinear interaction of surface capillary waves, processes of resonant and non-resonant interactions were considered both numerically and analytically: merging of two waves into one and waves on the…

流体动力学 · 物理学 2026-05-25 Alexander O. Korotkevich

In this paper we prove the existence of global weak dissipative martingale solutions for a one-dimensional compressible fluid model with capillarity and density dependent viscosity, driven by random initial data and a stochastic forcing…

偏微分方程分析 · 数学 2024-12-17 Donatella Donatelli , Lorenzo Pescatore , Stefano Spirito

Experimental observations indicate that chemically active droplets suspended in a surfactant-laden fluid can self-propel spontaneously. The onset of this motion is attributed to a symmetry-breaking Marangoni instability resulting from the…

流体动力学 · 物理学 2018-12-17 Matvey Morozov , Sebastien Michelin

The dynamics defined by the Navier-Stokes equations under the Marangoni boundary conditions in a two dimensional domain is considered. This model of fluid dynamics involve fundamental physical effects: convection, diffusion and capillary…

偏微分方程分析 · 数学 2015-11-09 Sergei Vakulenko

A tutorial discussion of the propagation of waves in random media is presented. In first approximation the transport of the multiple scattered waves is given by diffusion theory, but important corrections are present. These corrections are…

介观与纳米尺度物理 · 物理学 2009-10-31 M. C. W. van Rossum , Th. M. Nieuwenhuizen

A liquid in Cassie-Baxter state above a structured superhydrophobic surface is ideally suited for surface driven transport due to its large free surface fraction in close contact to a solid. We investigate thermal Marangoni flow over a…

流体动力学 · 物理学 2010-09-08 Tobias Baier , Clarissa Steffes , Steffen Hardt

The dispersion process in particulate porous media at low saturation levels takes place over the surface elements of constituent particles and, as we have found previously by comparison with experiments, can be accurately described by…

软凝聚态物质 · 物理学 2019-06-10 Penpark Sirimark , Alex V. Lukyanov , Tristan Pryer

Evaporating salty droplets are ubiquitous in nature, in our home and in the laboratory. Interestingly, the transport processes in such apparently simple systems differ strongly from evaporating "freshwater" droplets since convection is…

Thin liquid films are central to everyday life. They are ubiquitous in modern technology (pharmaceuticals, coatings), consumer products (foams, emulsions) and also serve vital biological functions (tear film of the eye, pulmonary…

流体动力学 · 物理学 2016-08-09 M. Saad Bhamla , Chew Chai , Marco A. Alvarez-Valenzuela , Javier Tajuelo , Gerald G. Fuller

In high dimensions, reflective Hamiltonian Monte Carlo with inexact reflections exhibits slow mixing when the particle ensemble is initialised from a Dirac delta distribution and the uniform distribution is targeted. By quantifying the…

机器学习 · 统计学 2026-03-20 Namu Kroupa , Gábor Csányi , Will Handley

The {\it unsteady} process for thermocapillary droplet migration at large Reynolds and Marangoni numbers has been previously reported by identifying a nonconservative integral thermal flux across the surface in the {\it steady}…

流体动力学 · 物理学 2014-07-01 Zuo-Bing Wu

Formation of coffee stain deposits under evaporation of droplets containing aqueous solution of salts placed on silicone-oil impregnated substrates was observed. The formation of ring-like deposits was registered for various molar…

软凝聚态物质 · 物理学 2017-10-26 Gilad Chaniel , Mark Frenkel , Victor Multanen , Edward Bormashenko

We study auto-propulsion of a interface particle, which is driven by the Marangoni stress arising from a self-generated asymmetric temperature or concentration field. We calculate separately the long-range Marangoni flow v^{I} due to the…

软凝聚态物质 · 物理学 2015-06-22 Alois Würger

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

We analyze both theoretically and experimentally the breakup of a pendant water droplet loaded with Sodium Dodecyl Sulfate (SDS). The free surface minimum radius measured in the experiments is compared with that obtained from a numerical…

流体动力学 · 物理学 2020-10-01 A. Ponce-Torres , M. Rubio , M. A. Herrada , J. Eggers , J. M. Montanero

The spreading of a pure, volatile liquid on a wettable substrate has been studied in extensive detail. Here we show that the addition of a miscible, non-volatile liquid can strongly alter the contact line dynamics and the final liquid…

软凝聚态物质 · 物理学 2020-02-19 Asher P. Mouat , Clay E. Wood , Justin E. Pye , Justin C. Burton

We study the Marangoni instability in a thin polymeric liquid film heated from the free surface. Polymeric solutions are usually the binary mixture of a Newtonian solvent with polymeric solute and exhibit viscoelastic behaviour. In the…

流体动力学 · 物理学 2021-02-16 Rajkumar Sarma , Pranab Kumar Mondal

In this paper, we study the flow physics underlying the recently developed remote sensing capability of detecting oceanic microplastics, which is based on the measurable surface roughness reduction induced by the presence of microplastics…

流体动力学 · 物理学 2021-11-16 Yukun Sun , Christopher Ruf , Thomas Bakker , Yulin Pan
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