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We introduce a model of friction between two contacting (stationary or co-sliding) rough surfaces, each comprising a random ensemble of polydisperse hemispherical bumps. In the simplest version of the model, the bumps experience on contact…

Soft Condensed Matter · Physics 2023-05-10 Suzanne M Fielding

Droplets at the air-liquid interface of immiscible liquids usually form partially-submerged lens shapes (e.g. water on oil). In addition to this structure, we showed that droplets released from critical heights above the target liquid can…

Fluid Dynamics · Physics 2010-10-19 Ehsan Yakhshi-Tafti , Hyoung J. Cho , Ranganathan Kumar

The behaviour of a viscous drop squeezed between two horizontal planes is treated by both theory and experiment. When the squeezing force F is constant and surface tension is neglected, the theory predicts ultimate growth of the radius a~…

Fluid Dynamics · Physics 2021-03-29 Keith Moffatt , Howard Guest , Herbert Huppert

Aqueous foams coarsen with time due to gas diffusion through the liquid. The mean bubble size grows, and small bubbles vanish. However, coarsening is little understood for foams with an intermediate liquid content, particularly in the…

Soft Condensed Matter · Physics 2024-11-20 Jacob Morgan , Simon Cox

The impact of a jet of droplets upon surfaces of varying hydrophobicity is studied via high-speed imaging. Microstructures on silicone surfaces consisting of cylindrical pillars of varying sizes and spacings are utilized to enhance…

During oscillatory wetting, a phase retardation emerges between contact angle variation and contact line velocity, presenting as a hysteresis loop in their correlation -- an effect we term dynamic hysteresis. This phenomenon is found to be…

Fluid Dynamics · Physics 2024-11-27 Jiaxing Shen , Yaerim Lee , Yuanzhe Li , Stéphane Zaleski , Gustav Amberg , Junichiro Shiomi

In 1805, Young was the first who introduced an expression for contact angle in static, but today, the motion of the contact-line formed at the intersection of two immiscible fluids and a solid is still subject to dispute. By means of the…

Classical Physics · Physics 2008-01-22 Henri Gouin

We have studied the splashing dynamics of water drops impacting granular layers. Depending on the drop kinetic energy, various shapes are observed for the resulting craters. Experimental parameters that have been considered are : the size…

Fluid Dynamics · Physics 2010-10-18 G. Delon , D. Terwagne , N. Adami , A. Bronfort , N. Vandewalle , S. Dorbolo , H. Caps

Saffman and Turner (1957) argued that the collision rate for droplets in turbulence increases as the turbulent strain rate increases. But the numerical simulations of Dhanasekaran et al. (2021) in a steady straining flow show that the…

Fluid Dynamics · Physics 2022-06-22 A. Dubey , K. Gustavsson , G. Bewley , B. Mehlig

We report on new instabilities of the quasi-static equilibrium of water drops pinned by a hydrophobic inclined substrate. The contact line of a statically pinned drop exhibits three transitions of partial depinning: depinning of the…

Fluid Dynamics · Physics 2009-11-13 Viatcheslav V. Berejnov , Robert E. Thorne

Hydrodynamic problems with stagnation points are of particular importance in fluid mechanics as they allow study and investigation of elongational flows. In this article, the uniaxial elongational flow appearing at the surface of a…

Fluid Dynamics · Physics 2021-06-08 A. Emamian M. Norouzi , M. Davoodi

In part I (arXiv:2006.12393) (accepted in JPP), we simulated individual dynamics of a rising bubble and a falling droplet in an incompressible limit of a strongly coupled dusty plasma (SCDP) using a generalized hydrodynamic viscoelastic…

Plasma Physics · Physics 2021-03-09 Vikram S. Dharodi1

The shape of a liquid drop placed in a cone is analyzed macroscopically. Depending on the values of the cone opening angle, the Young angle and the line tension four different interfacial configurations may be realized. The phase diagram in…

Statistical Mechanics · Physics 2009-10-31 G. P. Kubalski , M. Napiorkowski

During coalescence of liquid drops contacting a solid, the liquid sweeps wetted and solid-projected areas. The extent of sweeping dictates the performance of devices such as self-cleaning surfaces, anti-frost coatings, water harvesters, and…

Fluid Dynamics · Physics 2020-10-28 Jonathan M. Ludwicki , Paul H. Steen

To understand the behavior of composite fluid particles such as nucleated cells and double-emulsions in flow, we study a finite-size particle encapsulated in a deforming droplet under shear flow as a model system. In addition to its…

Fluid Dynamics · Physics 2019-06-06 Lailai Zhu , François Gallaire

The sliding friction of a dimer moving over a periodic substrate and subjected to an external force is studied in the steady state for arbitrary temperatures within a one-dimensional model. Nonlinear phenomena that emerge include dynamic…

Materials Science · Physics 2009-11-11 S. Goncalves , C. Fusco , A. Bishop , V. M. Kenkre

We present a solvable model inspired by dimensional analysis for the time-dependent spreading of droplets that partially wet a substrate, where the spreading eventually stops and the contact angle reaches a nonzero equilibrium value. We…

The complex behavior of drop deposition on a hydrophobic surface is considered by looking at a model problem in which the evolution of a constant-volume liquid bridge is studied as the bridge is stretched. The bridge is pinned with a fixed…

Soft Condensed Matter · Physics 2017-04-26 Bian Qian , Kenneth S. Breuer

When a liquid droplet impacts a vibrated micro-structured surface with asymmetric topology, the liquids perform a horizontal motion during its bouncing. The moving effect is observed when the liquid is in contact with a low surface energy…

Fluid Dynamics · Physics 2020-09-10 Dinh-Tuan Phan , Hao Yu , Tuan Tran

Binary droplet collisions are of importance in a variety of practical applications comprising dispersed two-phase flows. The background of our research is the prediction of properties of particulate products formed in spray processes. To…

Fluid Dynamics · Physics 2012-10-24 C. Focke , D. Bothe , M. Kuschel , M. Sommerfeld