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When deformed, liquid foams tend to raise their liquid contents like immersed granular materials, a phenomenon called dilatancy. We have aready described a geometrical interpretation of elastic dilatancy in 3D foams and in very dry foams…

Soft Condensed Matter · Physics 2010-11-02 François Molino , Pierre Rognon , Cyprien Gay

Liquid foams have been observed to behave like immersed granular materials in at least one respect: deformation tends to raise their liquid contents, a phenomenon called dilatancy. We present a geometrical interpretation thereof in foams…

Soft Condensed Matter · Physics 2009-09-29 Pierre Rognon , François Molino , Cyprien Gay

The structure of liquid foams follows simple geometric rules formulated by Plateau 150 years ago. By placing such foam on a microtextured hydrophilic surface, we show that the bubble footprint exhibits a morphological transition. This…

Soft Condensed Matter · Physics 2024-04-10 Alexis Commereuc , Sandrine Mariot , Emmanuelle Rio , François Boulogne

For dry foams, the transport of gas from small high-pressure bubbles to large low-pressure bubbles is dominated by diffusion across the thin soap films separating neighboring bubbles. For wetter foams, the film areas become smaller as the…

Soft Condensed Matter · Physics 2017-10-04 C. D. Schimming , D. J. Durian

We study the topology and geometry of two dimensional coarsening foams with arbitrary liquid fraction. To interpolate between the dry limit described by von Neumann's law, and the wet limit described by Marqusee equation, the relevant…

Soft Condensed Matter · Physics 2016-10-05 Ismael Fortuna , Gilberto L. Thomas , Rita M. C. de Almeida , Francois Graner

In this study, we experimentally investigate the rheological and flow behavior of two-dimensional (2D) monodisperse aqueous foams, sheared between parallel plates using a custom-made rheo-optical apparatus with smooth and roughened walls.…

Soft Condensed Matter · Physics 2025-03-27 Farshad Nazari , Andrei Potanin , Hadi Mohammadigoushki

We present high-precision data for the time evolution of bubble area $A(t)$ and circularity shape parameter $C(t)$ for quasi-2d foams consisting of bubbles squashed between parallel plates. In order to fully compare with predictions by Roth…

Soft Condensed Matter · Physics 2021-01-27 Anthony T. Chieco , Douglas J. Durian

We utilize total-internal reflection to isolate the two-dimensional `surface foam' formed at the planar boundary of a three-dimensional sample. The resulting images of surface Plateau borders are consistent with Plateau's laws for a truly…

Soft Condensed Matter · Physics 2014-11-12 A. E. Roth , B. G. Chen , D. J. Durian

Real foams can be viewed as a geometrically well-organized dispersion of more or less spherical bubbles in a liquid. When the foam is so drained that the liquid content significantly decreases, the bubbles become polyhedral-like and the…

Differential Geometry · Mathematics 2019-07-22 V. Gimeno , S. Markvorsen , J. M. Sotoca

A liquid foam in contact with a solid surface forms a two-dimensional foam on the surface. We derive the equilibrium equations for this 2D foam when the solid surface is curved and smooth, generalising the standard case of flat Hele Shaw…

Soft Condensed Matter · Physics 2009-11-11 M. Mancini , C. Oguey

By integrating the Young-Laplace equation, including the effects of gravity, we have calculated the equilibrium shape of the two-dimensional Plateau borders along which a vertical soap film contacts two flat, horizontal solid substrates of…

Soft Condensed Matter · Physics 2026-03-11 Miguel A. C. Teixeira , Steve Arscott , Simon J. Cox , Paulo I. C. Teixeira

Amorphous materials as diverse as foams, emulsions, colloidal suspensions and granular media can {\em jam} into a rigid, disordered state where they withstand finite shear stresses before yielding. The jamming transition has been studied…

Soft Condensed Matter · Physics 2016-07-06 Gijs Katgert , Brian P. Tighe , Martin van Hecke

We provide, in the setting of Gauss' capillarity theory, a rigorous derivation of the equilibrium law for the three dimensional structures known as Plateau borders which arise in "wet" soap films and foams. A key step in our analysis is a…

Analysis of PDEs · Mathematics 2023-11-01 Francesco Maggi , Michael Novack , Daniel Restrepo

We investigate the two-dimensional flow of a liquid foam around circular obstacles by measuring all the local fields necessary to describe this flow: velocity, pressure, bubble deformations and rearrangements. We show how our experimental…

Fluid Dynamics · Physics 2009-11-11 Benjamin Dollet , Francois Graner

Grain boundary roughness can affect electronic and mechanical properties of two-dimensional materials. This roughness depends crucially on the growth process by which the two-dimensional material is formed. To investigate the key mechanisms…

Materials Science · Physics 2022-04-06 Fabio D. A. Aarão Reis , Bastien Marguet , Olivier Pierre-Louis

We explore the instabilities developed in a fluid in which viscosity depends on temperature. In particular, we consider a dependency that models a very viscous (and thus rather rigid) lithosphere over a convecting mantle. To this end, we…

Fluid Dynamics · Physics 2014-02-13 Jezabel Curbelo , Ana M. Mancho

We study the transition between steady flows of non-cohesive granular materials in quasi-2D bounded heaps by suddenly changing the feed rate. In both experiments and simulations, the primary feature of the transition is a wedge of flowing…

Fluid Dynamics · Physics 2017-11-08 Hongyi Xiao , Julio M. Ottino , Richard M. Lueptow , Paul B. Umbanhowar

In this paper, I study the coarsening dynamics of two-dimensional dry foam sandwiched by deformable membranes. The time-varying deformation of the confining membranes gives rise to a significant alteration in the evolution of polygonal…

Soft Condensed Matter · Physics 2009-06-02 Hiroyuki Shima

We analyze the flow of a liquid foam between two plates separated by a gap of the order of the bubble size (2D foam). We concentrate on the salient features of the flow that are induced by the presence, in an otherwise monodisperse foam, of…

Soft Condensed Matter · Physics 2009-11-11 Isabelle Cantat , Renaud Delannay

We assess experimentally and theoretically the character of the superfluid-supersolid quantum phase transition recently discovered in trapped dipolar quantum gases. We find that one-row supersolids can have already two types of phase…

Quantum Gases · Physics 2024-06-11 G. Biagioni , N. Antolini , A. Alaña , M. Modugno , A. Fioretti , C. Gabbanini , L. Tanzi , G. Modugno
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