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When two droplets with different surface tensions collide, the shape evolution of the merging droplets is asymmetric. Using experimental and numerical techniques, we reveal that this asymmetry is caused by asymmetric capillary waves, which…

By viewing a velocity gradient in a fluid as an internal disturbance and treating it as a constraint on the wave function of a system, a linear evolution equation for the wave function is obtained from the Lagrange multiplier method. It…

Statistical Mechanics · Physics 2012-11-13 M. -L. Zhang , D. A. Drabold

With the advent of new media art, artists have harnessed fluid dynamics to create captivating visual narratives. A striking technique known as dendritic painting employs mixtures of ink and isopropanol atop paint, yielding intricate…

Fluid Dynamics · Physics 2023-12-12 San To Chan , Eliot Fried

Surface coatings and patterning technologies are essential for various physicochemical applications. In this Letter, we describe key parameters to achieve uniform particle coatings from binary solutions: First, multiple sequential Marangoni…

Fluid Dynamics · Physics 2016-08-08 Hyoungsoo Kim , François Boulogne , Eujin Um , Ian Jacobi , Ernie Button , Howard A. Stone

A dispersion relation for gravity waves in water covered by disk-like impurities embedded in a viscous matrix is derived. The macroscopic equations are obtained by ensemble-averaging the fluid equations at the disk scale in the asymptotic…

Fluid Dynamics · Physics 2017-02-20 Francesca De Santi , Piero Olla

We study the effect of insoluble surfactants on the impact of surfactant-free droplets on surfactant-laden thin liquid films via a fully three-dimensional direct numerical simulations approach that employs a hybrid…

We consider here a discrete system of spheres interacting through a lubrication force. This force is dissipative, and singular near contact: it behaves like the reciprocal of interparticle distance. We propose a macroscopic constitutive…

Analysis of PDEs · Mathematics 2012-09-06 Aline Lefebvre-Lepot , Bertrand Maury , Aline Lefebvre

In this study we attempt to explore the consequences of surfactant coating on the electrohydrodynamic manipulation of a drop motion in a plane Poiseuielle flow. In addition we consider bulk insoluble surfactants and a linear dependency of…

Fluid Dynamics · Physics 2019-05-09 Antarip Poddar , Shubhadeep Mandal , Aditya Bandopadhyay , Suman Chakraborty

Marginal Fermi liquid was originally introduced as a phenomenological description of the cuprates in a part of the metallic doping range which appears to be governed by fluctuations due to a quantum-critical point. An essential result due…

Strongly Correlated Electrons · Physics 2009-01-24 A. Shekhter , C. M. Varma

We report the observation of capillary wave turbulence on the surface of a fluid layer in a low-gravity environment. In such conditions, the fluid covers all the internal surface of the spherical container which is submitted to random…

Other Condensed Matter · Physics 2009-05-06 Claudio Falcon , Eric Falcon , Umberto Bortolozzo , Stéphan Fauve

Viscous hydrodynamic flow in a small, slowly evaporating, sessile hemispherical droplet with a pinned contact line is considered. Analytical solutions are obtained for the Deegan outward flow, which is responsible for the coffee ring…

Fluid Dynamics · Physics 2026-02-16 Peter Lebedev-Stepanov

In this paper, a fractional generalization of the wave equation that describes propagation of damped waves is considered. In contrast to the fractional diffusion-wave equation, the fractional wave equation contains fractional derivatives of…

Mathematical Physics · Physics 2021-03-12 Yuri Luchko

Spreading on the free surface of a complex fluid is ubiquitous in nature and industry, owing to the wide existence of complex fluids. Here we report on a fingering instability that develops during Marangoni spreading on a deep layer of…

Fluid Dynamics · Physics 2021-02-03 Xue Ma , Menglin Zhong , Yifeng He , Zhanwei Liu , Zhenzhen Li

We investigate the thermo solutal transport phenomena and deposition patterns during the evaporation of surfactant laden droplets experimentally and through theoretical scaling based analysis. Experiments were conducted using the sessile…

Fluid Dynamics · Physics 2026-04-17 Randeep Ravesh , A R Harikrishnan , Purbarun Dhar

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…

Fluid Dynamics · Physics 2026-01-28 Dieter Bothe , Akio Tomiyama

In this letter, we will consider the use of the variational iteration method and Pad\'e approximant for finding approximate solutions for a Marangoni convection induced flow over a free surface due to an imposed temperature gradient. The…

Numerical Analysis · Mathematics 2015-06-04 Onur Karaoğlu , Galip Oturanç

This paper presents a numerical study of three-dimensional laminar mixed convection within a liquid flowing on a horizontal channel heated uniformly from below. The upper surface is free and assumed to be flat. The coupled Navier-Stokes and…

Thermal motions of molecules can generate nanowaves on the free surface of a liquid film. As nanofilms are susceptible to the contamination of surfactants, this work investigates the effects of surfactants on dynamics of nanowaves on a…

Fluid Dynamics · Physics 2023-06-21 Yixin Zhang , Zijing Ding

In this paper, we investigated the thermocapillary migration of a self-rewetting droplet on an inclined surface using a phase field based lattice Boltzmann method. Unlike the normal fluid whose surface tension decreases linearly with…

Fluid Dynamics · Physics 2024-07-18 He Yan , Lei Wang , Jiangxu Huang , Yuan Yu

Bubble and droplet motion in binary mixtures is studied in weak heat and diffusion fluxes and in gravity by solving the linearized hydrodynamic equations supplemented with appropriate surface boundary conditions. Without gravity, the…

Soft Condensed Matter · Physics 2015-05-13 Akira Onuki
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