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The impact of a heavier droplet into a deep pool of lighter liquid is investigated using three-dimensional numerical simulations. Unprecedented to any numerical simulations, we demonstrate that the heavier droplets can hang from the surface…

Fluid Dynamics · Physics 2023-03-29 Piyush Singh , Anikesh Pal , Narinder Singh

Two-dimensional (2D) materials can roll up, forming stable scrolls under suitable conditions. However, the great diversity of materials and fabrication techniques has resulted in a huge parameter space significantly complicating the…

Materials Science · Physics 2021-10-12 Maxim Trushin , A. H. Castro Neto

We have simulated the motion of a single vertical, two-dimensional liquid bridge spanning the gap between two flat, horizontal solid substrates of given wettabilities, using a multicomponent pseudopotential lattice Boltzmann method. For…

Soft Condensed Matter · Physics 2022-03-02 Rodrigo C. V. Coelho , Luis A. R. G. Cordeiro , Rodrigo B. Gazola , Paulo I. C. Teixeira

We investigate the transition between the Cassie-Baxter and Wenzel states of a slowly evaporating, micron-scale drop on a superhydrophobic surface. In two dimensions analytical results show that there are two collapse mechanisms. For long…

Soft Condensed Matter · Physics 2008-03-12 H. Kusumaatmaja , M. L. Blow , A. Dupuis , J. M. Yeomans

We analytically study a stationary free boundary problem describing a soap film bridge subjected to an electrostatic force. Starting from a cylinder that the soap film forms if its surface tension and the electrostatic force are perfectly…

Analysis of PDEs · Mathematics 2024-09-30 Lina Sophie Schmitz

A liquid drop sitting on an elastic rod may act as a winch, or windlass, and pull the rod inside itself and coil it. This windlass effect has been shown to be generated by surface tension forces and to work best for small systems. Here we…

Soft Condensed Matter · Physics 2018-02-07 Hervé Elettro , Arnaud Antkowiak , Sébastien Neukirch

A new solution of a charged catenary is presented which allows to determine the static stability conditions where charged liquid bridges or charged hanging robes are possible.

Fluid Dynamics · Physics 2013-05-23 Klaus Morawetz

The weakly nonlinear dynamics of the free surface of a dielectric liquid in an electric field directed tangentially to the unperturbed boundary is investigated numerically. Within the framework of the strong field model, when the effects of…

Fluid Dynamics · Physics 2022-11-28 Evgeny A. Kochurin , Olga V. Zubareva , Nikolay M. Zubarev

The evolution of the liquid bridge formed between two coalescing sessile yield-stress drops is studied experimentally. We find that the height of the bridge evolves similar to a viscous Newtonian fluid, $h_0\sim t$, before arresting at long…

Fluid Dynamics · Physics 2022-03-30 Vanessa R. Kern , Torstein Sæter , Andreas Carlson

It has been shown that a water drop can bounce persistently, when thrown on a super-hydrophobic substrate. We present here scaling arguments which allow us to predict the maximal deformation and the contact time of the drop. This approach…

Soft Condensed Matter · Physics 2009-11-07 K. Okumura , F. Chevy , C. Clanet , D. Richard , D. Quere

We model the roadway of a suspension bridge as a thin rectangular plate and we study in detail its oscillating modes. The plate is assumed to be hinged on its short edges and free on its long edges. Two different kinds of oscillating modes…

Analysis of PDEs · Mathematics 2015-02-23 E. Berchio , A. Ferrero , F. Gazzola

The electrical resistivity of liquid hydrogen has been measured at the high dynamic pressures, densities and temperatures that can be achieved with a reverberating shock wave. The resulting data are most naturally interpreted in terms of a…

Materials Science · Physics 2009-10-30 W. J. Nellis , A. A. Louis , N. W. Ashcroft

For more than a century, the consensus has been that the thin-film hydraulic jump that can be seen in kitchen sinks is created by gravity. However, we recently reported that these jumps are created by surface tension, and gravity does not…

Fluid Dynamics · Physics 2021-07-06 Rajesh K. Bhagat , D. Ian Wilson , P. F. Linden

Water confined between two graphene layers with a small separation forms a two-dimensional ice structure,with an apparent square symmetry [Algara-Siller et al., Nature (London) 519, 443 (2015)], which is poorly understood. A density…

Mesoscale and Nanoscale Physics · Physics 2017-02-06 Niels R. Walet

We consider the capillary-gravity water wave equation in two dimensions. We assume that the fluid is inviscid, incompressible, irrotational and the air density is zero. We construct an energy functional and prove a local wellposedness…

Analysis of PDEs · Mathematics 2020-12-25 Siddhant Agrawal

Water is essential for the activity of proteins. However, the effect of the properties of water on the behavior of proteins is only partially understood. Recently, several experiments have investigated the relation between the dynamics of…

Biological Physics · Physics 2015-03-17 Giancarlo Franzese , Valentino Bianco , Svilen Iskrov

This paper examines two-dimensional liquid curtains ejected at an angle to the horizontal and affected by gravity and surface tension. The flow is, to leading order, shearless and viscosity, negligible. The Froude number is large, so that…

Fluid Dynamics · Physics 2021-09-27 E. S. Benilov

We consider a dynamic system of nonlinear partial differential equations modeling the motions of a suspension bridge. This fish-bone model captures the flexural displacements of the bridge deck's mid-line, and each chordal filament's…

Analysis of PDEs · Mathematics 2024-07-12 Alessio Falocchi , Justin T. Webster

The bottle-flip challenge -- the upright landing of a partially filled bottle after tossing and flipping it in the air -- unexpectedly became a viral mechanics exercise. Through high-speed visualization, we evidence that fluid content…

Fluid Dynamics · Physics 2025-02-19 Patricio Morales , Victor Ahumada , Leonardo Gordillo , Pablo Gutiérrez

Contrasting with its sluggish behavior on standard solids, water is extremely mobile on superhydrophobic materials, as shown for instance by the continuous acceleration of drops on tilted water-repellent leaves. For much longer substrates,…

Soft Condensed Matter · Physics 2019-04-09 Timothée Mouterde , Pascal S. Raux , Christophe Clanet , David Quéré