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When a droplet is generated, the ligament connecting the drop to the nozzle thins down and eventually pinches off. Adding solid particles to the liquid phase leads to a more complex dynamic, notably by increasing the shear viscosity.…

Soft Condensed Matter · Physics 2021-05-24 Virgile Thiévenaz , Sreeram Rajesh , Alban Sauret

When two drops of radius $R$ touch, surface tension drives an initially singular motion which joins them into a bigger drop with smaller surface area. This motion is always viscously dominated at early times. We focus on the early-time…

Fluid Dynamics · Physics 2017-05-17 Jens Eggers , John R. Lister , Howard A. Stone

We study the hydrodynamic mechanisms involved in the motion of the contact line formed at the end region of a liquid filament laying on a planar and horizontal substrate. Since the flow develops under partially wetting conditions, the tip…

Fluid Dynamics · Physics 2017-05-31 Pablo D. Ravazzoli , Ingrith P. Cuellar , Alejandro G. González , Javier A. Diez

When a liquid drop falls on a solid substrate, the air layer in between them delays the occurrence of liquid--solid contact. For impacts on smooth substrates, the air film can even prevent wetting, allowing the drop to bounce off with…

Fluid Dynamics · Physics 2023-03-22 Vatsal Sanjay , Srinath Lakshman , Pierre Chantelot , Jacco H. Snoeijer , Detlef Lohse

The ambient gas pressure is determined for the onset of splashing of low-viscosity liquid drops on smooth dry surfaces as we change the control parameters: drop impact velocity, drop radius, viscosity, surface tension, density, and gas…

Soft Condensed Matter · Physics 2015-06-19 Cacey S. Stevens

In this work we consider theoretically the problem of a Newtonian droplet moving in an otherwise quiescent infinite viscoelastic fluid under the influence of an externally applied temperature gradient. The outer fluid is modelled by the…

Aerobreakup of drops is a fundamental two-phase flow problem that is essential to many spray applications. A parametric numerical study was performed by varying the gas stream velocity, focusing on the regime of moderate Weber numbers, in…

Fluid Dynamics · Physics 2023-05-02 Yue Ling , Taofiqhasan Mahmood

We consider the dynamics of thin two-dimensional viscous droplets on chemically heterogeneous surfaces moving under the combined effects of slip, mass transfer and capillarity. The resulting long-wave evolution equation for the droplet…

Fluid Dynamics · Physics 2021-12-20 Danny Groves , Nikos Savva

In this paper, we report experimental results on the shape and motion of a mercury droplet, placed in a horizontally rotating cylinder in the rpm range 8-93, so that the Reynolds number of the drop 2500<Re<26000 and its capillary number…

Fluid Dynamics · Physics 2011-05-13 Vijaya Senthil Kumar K. , Baburaj A. Puthenveettil

Natural or industrial flows of a fluid often involve droplets or bubbles of another fluid, pinned by physical or chemical impurities or by the roughness of the bounding walls. Here we study numerically one drop pinned on a circular…

Fluid Dynamics · Physics 2018-10-15 Ludovic De Maio , Francois Dunlop

A weakly deformable droplet impinging on a rigid surface rebounds if the surface is intrinsically hydrophobic or if the gas film trapped underneath the droplet is able to keep the interfaces from touching. A simple, physically motivated…

Fluid Dynamics · Physics 2007-05-23 A. Gopinath

The formation of drops of a complex fluid, for instance including dissolved polymers and/or solid particles, has practical implications in several industrial and biophysical processes. In this Letter, we experimentally investigate the…

Soft Condensed Matter · Physics 2021-06-09 Virgile Thiévenaz , Alban Sauret

In order for a droplet to rebound rather than coalesce with a liquid bath, a layer of gas must persist throughout the impact. This gas, typically an air layer acts as a lubricant to the system and permits a pressure transfer between the two…

Fluid Dynamics · Physics 2025-06-18 Katie A Phillips , Radu Cimpeanu , Paul A Milewski

The coalescence of liquid drops has conventionally been thought to have just two regimes when the drops are brought together slowly in vacuum or air: a viscous regime corresponding to the Stokes-flow limit and a later inertially-dominated…

Fluid Dynamics · Physics 2014-01-10 Joseph D. Paulsen

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

The unsteady response of a water free surface to a localized pressure source moving at constant speed $U$ in the range $0.95c_\mathrm{min} \lesssim U \leq 1.02 c_\mathrm{min}$, where $c_\mathrm{min}$ is the minimum phase speed of linear…

Fluid Dynamics · Physics 2016-12-05 Naeem Masnadi , James H. Duncan

We investigate theoretically the buoyancy-driven motion of a viscous drop in a yield-stress material, incorporating elastic effects represented by the Saramito-Herschel-Bulkley constitutive equation. We solve the governing equations using…

Fluid Dynamics · Physics 2024-08-14 Giancarlo Esposito , Yannis Dimakopoulos , John Tsamopoulos

Liquid drops are everywhere around us and important in numerous technological applications. Here, we demonstrate a quasi-two-dimensional (Q2D) analogy to the regular, often close to axisymmetric, three-dimensional (3D) drops. The Q2D drops…

Fluid Dynamics · Physics 2024-01-23 Tytti Kärki , Into Pääkkönen , Nikos Kyriakopoulos , Jaakko V. I. Timonen

We consider a liquid drop sitting on a rough solid surface at equilibrium, a volume constrained minimizer of the total interfacial energy. The large-scale shape of such a drop strongly depends on the micro-structure of the solid surface.…

Analysis of PDEs · Mathematics 2016-12-22 William M. Feldman , Inwon C. Kim

We study the effects of nozzle geometry on the dynamics of thin fluid films flowing down a vertical cylindrical fibre. Recent experiments show that varying the nozzle diameter can lead to different flow regimes and droplet characteristics…

Fluid Dynamics · Physics 2023-07-19 Hangjie Ji , Abolfazl Sadeghpour , Y. Sungtaek Ju , Andrea L. Bertozzi