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In an effort to study the stability of contact lines in fluids, we consider the dynamics of a drop of incompressible viscous Stokes fluid evolving above a one-dimensional flat surface under the influence of gravity. This is a free boundary…

Analysis of PDEs · Mathematics 2019-07-15 Ian Tice , Lei Wu

On a sufficiently-soft substrate, a resting fluid droplet will cause significant deformation of the substrate. This deformation is driven by a combination of capillary forces at the contact line and the fluid pressure at the solid surface.…

Soft Condensed Matter · Physics 2016-07-07 Aaron Bardall , Karen E. Daniels , Michael Shearer

The spreading of a cap-shaped spherical droplet of non-Newtonian power-law liquids on a completely wettable spherical substrate is theoretically studied. Both convex spherical substrates and concave spherical cavities with smooth or rough…

Soft Condensed Matter · Physics 2018-12-18 Masao Iwamatsu

Phase field theory is widely used to model multi-phase flows. A drop can shrink or grow spontaneously due to the redistribution of interface and bulk energies to minimize the system energy. In this paper, the spontaneous behaviour of a drop…

Fluid Dynamics · Physics 2019-12-18 Chunhua Zhang , Zhaoli Guo

Anisotropically wetting substrates enable useful control of droplet behavior across a range of applications. Usually, these involve chemically or physically patterning the substrate surface, or applying gradients in properties like…

Soft Condensed Matter · Physics 2021-04-21 Katrina Smith-Mannschott , Qin Xu , Stefanie Heyden , Nicolas Bain , Eric R. Dufresne , Robert W. Style

An approximate theory is presented describing the propagation of the ice-water front that develops in droplets of water that are deposited on a planar surface at a temperature below the melting point of ice. A calculation based on this…

Materials Science · Physics 2014-09-25 Michael Nauenberg

In the present study, the axisymmetric natural oscillations of a liquid drop supported by a flat surface is investigated by direct numerical simulation. The liquid-gas interface is captured using a geometric volume-of-fluid (VOF) method. A…

Fluid Dynamics · Physics 2023-11-16 Jordan Sakakeeny , Yue Ling

The steady state motion of cylindrical droplets under the action of external body force is investigated both theoretically and via lattice Boltzmann simulation. As long as the shape-invariance of droplet is maintained, the droplet's…

Soft Condensed Matter · Physics 2011-02-11 Nasrollah Moradi , Fathollah Varnik , Ingo Steinbach

We show that energy dissipation partition between a liquid and a solid controls the shape and stability of droplets sliding on viscoelastic gels. When both phases dissipate energy equally, droplet dynamics is similar to that on rigid…

Soft Condensed Matter · Physics 2024-02-20 Mathieu Oléron , Laurent Limat , Julien Dervaux , Matthieu Roché

We experimentally investigated the splashing of dense suspension droplets impacting a solid surface, extending prior work to the regime where the viscosity of the suspending liquid becomes a significant parameter. The overall behavior can…

The motion of a water droplet on a single vertical sugar fiber is analyzed. The fiber is positioned vertically, with the droplet placed at its pending end. If the capillary force exceeds the weight of the droplet, the droplet remains…

Fluid Dynamics · Physics 2026-03-10 Stéphane Dorbolo , Floriane Weyer , Alexandre Delory , Apurav Tambe , Zhao Pan

Active droplets are artificial microswimmers built from a liquid dispersion by microfluidic tools and showing self-propelled motion. These systems hold particular interest for mimicking biological phenomena, such as some aspects of cell…

Soft Condensed Matter · Physics 2023-06-14 Adriano Tiribocchi , Mihir Durve , Marco Lauricella , Andrea Montessori , Davide Marenduzzo , Sauro Succi

Diamagnetic levitation can provide a completely passive method to support materials against the pull of gravity, and researchers have levitated both solids and fluids. Such levitation can be assisted by increasing the magnetic…

Fluid Dynamics · Physics 2023-08-22 I. Sanskriti , D. Kim , J. Twamley

Evaporation of a liquid drop surrounded by either vapor of the same fluid, or vapor and air, is usually attributed to vapor diffusion -- which, however, does not apply to the former setting, as pure fluids do not diffuse. The present paper…

Fluid Dynamics · Physics 2022-04-05 E. S. Benilov

We perform axisymmetric numerical simulations to investigate the coalescence dynamics of a liquid drop in a deep liquid pool. This study aims to generalize the mechanisms of partial coalescence across a range of drop shapes, elucidate the…

Fluid Dynamics · Physics 2026-03-25 Manas Ranjan Behera , Hiranya Deka , Kirti Chandra Sahu , Gautam Biswas

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 new experimental technique for creating and imaging collisions of micron-sized droplets settling under gravity is presented. A pair of glycerol droplets is suspended in air by means of two optical traps. The droplet relative velocities…

Fluid Dynamics · Physics 2017-04-04 M. Ivanov , K. Chang , I. Galinskiy , B. Mehlig , D. Hanstorp

A spherical droplet is given an initial rotation in the streamwise direction and is impulsively accelerated by a uniform free stream. Numerical results for the deformation and dynamics of the droplet are obtained by utilising a finite…

Fluid Dynamics · Physics 2010-10-21 Eric K. W. Poon , Shaoping Quan , Jing Lou , Andrew S. H. Ooi

The article demonstrates that the internal circulation velocity and patterns in sessile droplets on superhydrophobic surfaces is governed by the surface curvature. Particle Image Velocimetry reveals that increasing convexity deteriorates…

Fluid Dynamics · Physics 2018-06-15 Gargi Khurana , A R Harikrishnan , Vivek Jaiswal , Purbarun Dhar

Experimental investigations were carried out to elucidate the role of surface wettability and inclination on the post impact dynamics of droplets. Maximum spreading diameter and spreading time were found to decrease with increasing…

Fluid Dynamics · Physics 2019-02-20 Nilamani Sahoo , Gargi Khurana , A R Harikrishnan , Devranjan Samanta , Purbarun Dhar
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