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Flexible rings and rectangle structures floating at the surface of water are prone to deflect under the action of surface pressure induced by the addition of surfactant molecules on the bath. While the frames of rectangles bend inward or…

Fluid Dynamics · Physics 2013-10-02 N. Adami , A. Delbos , B. Roman , J. Bico , H. Caps

Soft solids differ from stiff solids in an important way: their surface stresses can drive large deformations. Based on a topical workshop held in the Lorentz Center in Leiden, this Opinion highlights some recent advances in the growing…

A small drop of a heavier fluid may float on the surface of a lighter fluid supported by surface tension forces. In equilibrium, the drop assumes a radially symmetric shape with a circular triple-phase contact line. We show theoretically…

Fluid Dynamics · Physics 2021-07-27 Andrey Pototsky , Alexander Oron , Michael Bestehorn

Hypothesis: Lateral accumulation and film defects during drying of hard particle coatings is a common problem, typically solved using polymeric additives and surface active ingredients, which require further processing of the dried film.…

Soft Condensed Matter · Physics 2021-11-19 Steffen B. Fischer , Erin Koos

The elastocapillary instability of a flexible plate plunged in a liquid bath is analysed theoretically. We show that the plate can bend due to two separate destabilizing mechanisms, when the liquid is partially wetting the solid. For…

Fluid Dynamics · Physics 2015-05-30 Bruno Andreotti , Antonin Marchand , Siddhartha Das , Jacco H. Snoeijer

Many objects in nature and industry are wrapped in a thin sheet to enhance their chemical, mechanical, or optical properties. There are similarly a variety of methods for wrapping, from pressing a film onto a hard substrate, to using…

Soft Condensed Matter · Physics 2019-04-30 Joseph D. Paulsen

This paper addresses the floating body problem which consists in studying the interaction of surface water waves with a floating body. We propose a new formulation of the water waves problem that can easily be generalized in order to take…

Analysis of PDEs · Mathematics 2016-09-21 David Lannes

It is widely appreciated that surface tension can dominate the behavior of liquids at small scales. Solids also have surface stresses of a similar magnitude, but they are usually overlooked. However, recent work has shown that these can…

Soft Condensed Matter · Physics 2017-05-24 Robert W. Style , Anand Jagota , C. -Y. Hui , Eric R. Dufresne

We carry out a systematic investigation on floating bodies in real space forms. A new unifying approach not only allows us to treat the important classical case of Euclidean space as well as the recent extension to the Euclidean unit…

Differential Geometry · Mathematics 2016-06-27 Florian Besau , Elisabeth M. Werner

Obstructions influence the growth and expansion of bodies in a wide range of settings -- but isolating and understanding their impact can be difficult in complex environments. Here, we study obstructed growth/expansion in a model system…

Soft Condensed Matter · Physics 2024-01-24 Abigail Plummer , Caroline Adkins , Jean-François Louf , Andrej Košmrlj , Sujit S. Datta

This paper is concerned with the Floating Body Problem of S. Ulam: the existence of objects other than the sphere, which can float in a liquid in any orientation. Despite recent results of F. Wegner pointing towards an affirmative answer, a…

Mathematical Physics · Physics 2012-04-12 Péter L. Várkonyi

A sponge subjected to an increase of the outside fluid pressure expands its volume but nearly mantains its true density and thus gives way to an increase of the interstitial volume. This behaviour, not yet properly described by solid-fluid…

Classical Physics · Physics 2010-07-13 Giulio Sciarra , Francesco dell'Isola , Kolumban Hutter

Three-dimensional central symmetric bodies different from spheres that can float in all orientations are considered. For relative density rho=1/2 there are solutions, if holes in the body are allowed. For rho different from 1/2 the body is…

Classical Physics · Physics 2009-04-22 Franz Wegner

The localized loading of an elastic sheet floating on a liquid bath occurs at scales from a frog sitting on a lily pad to a volcano supported by the Earth's tectonic plates. The load is supported by a combination of the stresses within the…

Soft Condensed Matter · Physics 2017-11-01 Finn Box , Dominic Vella , Robert Style , Jerome A. Neufeld

Bodies of density one half (of the fluid in which they are immersed) that can float in all orientations are investigated. It is shown that expansions starting from and deforming the (hyper)sphere are possible in arbitrary dimensions and…

Classical Physics · Physics 2009-02-23 Franz Wegner

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

Deformation of a fluid interface caused by the presence of objects at the interface can lead to large lateral forces between the objects. We explore these fluid-mediated attractive force between partially submerged vertical cylinders.…

Soft Condensed Matter · Physics 2014-12-04 Jennifer M. Rieser , P. E. Arratia , A. G. Yodh , J. P. Gollub , D. J. Durian

When placed upside down a liquid surface is known to destabilize above a certain size. However, vertical shaking can have a dynamical stabilizing effect. These oscillations can also make air bubbles sink in the liquid when created below a…

Fluid Dynamics · Physics 2020-03-11 Benjamin Apffel , Filip Novkoski , Antonin Eddi , Emmanuel Fort

We study the deformation and slip-through of a heavy elastic beam suspended above two point supports and subject to an increasing body force -- an idealized model of a fibre trapped in the pores of a filter as flow strength increases, for…

Soft Condensed Matter · Physics 2025-11-06 Grace K. Curtis , Ian M. Griffiths , Dominic Vella

A thin circular elastic sheet floating on a drop-like liquid substrate is deformed due to incompatibility between the curved substrate and the planar sheet. We adopt a variational viewpoint by minimizing the non-convex membrane energy…

Analysis of PDEs · Mathematics 2026-02-19 Peter Bella , Carlos Román
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