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We introduce a solvable Lagrangian model for droplet bouncing. The model predicts that, for an axisymmetric drop, the contact time decreases to a constant value with increasing Weber number, in qualitative agreement with experiments,…

Fluid Dynamics · Physics 2017-02-08 Matthew Andrew , Julia M. Yeomans , Dmitri O. Pushkin

In recent decades novel solid substrates have been designed which change their wettability in response to light or an electrostatic field. Here, we investigate a droplet on substrates with oscillating uniform wettability by varying minimium…

Fluid Dynamics · Physics 2021-10-28 Josua Grawitter , Holger Stark

We present and analyze a minimal hydrodynamic model of a vertically vibrated liquid drop that undergoes dynamic shape transformations. In agreement with experiments, a circular lens-shaped drop is unstable above a critical vibration…

Pattern Formation and Solitons · Physics 2018-05-09 Andrey Pototsky , Michael Bestehorn

We report an experimental study of liquid drops moving against gravity, when placed on a vertically vibrating inclined plate, which is partially wetted by the drop. The frequency of vibrations ranges from 30 to 200 Hz, and, above a…

Fluid Dynamics · Physics 2008-09-12 P. Brunet , J. Eggers , R. D. Deegan

The effects of wall velocity slip on the linear stability of a gravity-driven miscible two-fluid flow down an incline are examined. The fluids have the matched density but different viscosity. A smooth viscosity stratification is achieved…

Fluid Dynamics · Physics 2016-11-03 Sukhendu Ghosh , R. Usha

The impact dynamics of spinning droplets onto superhydrophobic surfaces was studied by using Volume-of-Fluid simulations, covering broad ranges of Weber number ($We$) and dimensionless angular velocity ($\mathit{\Omega}$). The omputational…

Fluid Dynamics · Physics 2025-07-18 Jinyang Wang , Feifei Jia , Xiaoyun Peng , Peng Zhang , Kai Sun , Tianyou Wang

We study fully three-dimensional droplets that slide down an incline by employing a thin-film equation that accounts for capillarity, wettability, and a lateral driving force in small-gradient (or long-wave) approximation. In particular, we…

Fluid Dynamics · Physics 2016-12-15 Sebastian Engelnkemper , Markus Wilczek , Svetlana V. Gurevich , Uwe Thiele

The impact of liquid drops on solid surfaces is ubiquitous in nature, and of practical importance in many industrial processes. A drop hitting a flat surface retains a circular symmetry throughout the impact process. Here we show that a…

Fluid Dynamics · Physics 2016-01-20 Yahua Liu , Matthew Andrew , Jing Li , Julia M Yeomans , Zuankai Wang

We numerically investigate bouncing and non-bouncing of droplets during isothermal impact on superhydrophobic surfaces. An in-house, experimentally-validated, finite-element method based computational model is employed to simulate the…

Fluid Dynamics · Physics 2016-01-06 Prathamesh G. Bange , Rajneesh Bhardwaj

Pendant drops suspended on the underside of a wet substrate are known to accumulate fluid from the surrounding thin liquid film, a process that often results in dripping. The growth of such drops is hastened by their ability to translate…

Fluid Dynamics · Physics 2021-08-02 Etienne Jambon-Puillet , Pier Giuseppe Ledda , François Gallaire , P. -T. Brun

Within the coexistence region between liquid and vapor the equilibrium pressure of a simulated fluid exhibits characteristic jumps and plateaus when plotted as a function of density at constant temperature. These features exclusively…

Statistical Mechanics · Physics 2015-09-09 S. Prestipino , C. Caccamo , D. Costa , G. Malescio , G. Munaò

We consider a Glauber dynamics associated with the Ising model on a large two-dimensional box with with minus boundary conditions and in the limit of a vanishing positive external magnetic field. The volume of this box increases…

Probability · Mathematics 2020-05-13 Alexandre Gaudillière , Paolo Milanesi , Maria Eulália Vares

We briefly review recent advances in the hydrodynamic modeling of the dynamics of droplets on adaptive substrates, in particular, solids that are covered by polymer brushes. Thereby, the focus are long-wave and full-curvature variants of…

Fluid Dynamics · Physics 2024-08-05 Simon Hartmann , Jan Diekmann , Daniel Greve , Uwe Thiele

Dynamics of a liquid drop falling through a quiescent medium of another liquid is investigated in external uniform electric field. The electrohydrodynamics of a drop is governed by inherent deformability of the drop (defined by capillary…

Fluid Dynamics · Physics 2020-01-08 Nalinikanta Behera , Shubhadeep Mandal , Suman Chakraborty

We consider the time evolution of a sessile drop of volatile partially wetting liquid on a rigid solid substrate. Thereby, the drop evaporates under strong confinement, namely, it sits on one of the two parallel plates that form a narrow…

Fluid Dynamics · Physics 2023-08-11 S. Hartmann , C. Diddens , M. Jalaal , U. Thiele

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

We propose a procedure - partly analytical and partly numerical - to find the frequency and the damping rate of the small-amplitude oscillations of a massless elastic capsule immersed in a two-dimensional viscous incompressible fluid. The…

Fluid Dynamics · Physics 2014-04-03 Marco Martins Afonso , Simon Mendez , Franck Nicoud

We study the coalescence of two drops of an ideal fluid driven by surface tension. The velocity of approach is taken to be zero and the dynamical effect of the outer fluid (usually air) is neglected. Our approximation is expected to be…

Fluid Dynamics · Physics 2009-11-07 L. Duchemin , J. Eggers , C. Josserand

The spreading of large viscous drops of density-matched suspensions of non-Brownian spheres on a smooth solid surface is experimentally investigated at the global drop scale. The focus is on dense suspensions with a solid volume fraction…

Soft Condensed Matter · Physics 2024-11-20 Alice Pelosse , Élisabeth Guazzelli , Matthieu Roché

The equations governing the motion of a three-dimensional liquid drop moving freely in an unbounded liquid reservoir under the influence of a gravitational force are investigated. Provided the (constant) densities in the two liquids are…

Analysis of PDEs · Mathematics 2019-12-12 Thomas Eiter , Mads Kyed , Yoshihiro Shibata