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We study the equilibrium problem of a system consisting by several Kirchhoff rods linked in an arbitrary way and tied by a soap film, using techniques of the Calculus of Variations. We prove the existence of a solution with minimum energy,…

数学物理 · 物理学 2017-11-23 Giulia Bevilacqua , Luca Lussardi , Alfredo Marzocchi

A two-dimensional free boundary transmission problem arising in the modeling of an electrostatically actuated plate is considered and a representation formula for the derivative of the associated electrostatic energy with respect to the…

偏微分方程分析 · 数学 2022-02-22 Philippe Laurençot , Christoph Walker

We consider the dynamics of an electrostatically actuated thin elastic plate being clamped at its boundary above a rigid plate. The model includes the harmonic electrostatic potential in the three-dimensional time-varying region between the…

偏微分方程分析 · 数学 2015-06-02 Philippe Laurencot , Christoph Walker

A soap film is actually a thin solid fluid bounded by two surfaces of opposite orientation. It is natural to model the film using one polyhedron for each side. Two problems are to get the polyhedra for both sides to be in the same place…

经典分析与常微分方程 · 数学 2009-09-29 Jenny Harrison

Surface bubbles are an abundant source of aerosols, with important implications for climate processes. In this context, we investigate the stability and thinning dynamics of soap films under effective gravity fields. Experiments are…

We explore the force generation and surface interactions arising when electric fields are applied across fluid films. Using a surface force balance (SFB) we measure directly the force between two electrodes in crossed-cylinder geometry…

软凝聚态物质 · 物理学 2019-04-09 Carla Perez-Martinez , Susan Perkin

Interfacial deformation under electric fields is a common phenomenon in many industrial processes. Particularly, we are interested in the dynamics of sessile soap bubbles in a parallel-plate electric field which exhibits a stable…

流体动力学 · 物理学 2026-04-17 Hongsik Kim , Sunghwan Jung

This paper concerns the dynamics of a layer of incompressible viscous fluid lying above a rigid plane and with an upper boundary given by a free surface. The fluid is subject to a constant external force with a horizontal component, which…

偏微分方程分析 · 数学 2018-03-14 Ian Tice

"The Life of a Free Soap Film" is a fluid dynamics video for the Gallery of Fluid Motion intended to showcase the novel experimental techniques that we have developed in our laboratory to study the retraction of planar liquid films of…

流体动力学 · 物理学 2010-10-14 H. C. Mayer , R. Krechetnikov

We study the stability and breakup of liquid bridges with a free contact line on a surface with contact-angle hysteresis under zero-gravity conditions. Theoretical predictions of the stability limits are validated by experimental…

软凝聚态物质 · 物理学 2015-07-24 Amir Akbari , Reghan J. Hill

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…

软凝聚态物质 · 物理学 2026-03-11 Miguel A. C. Teixeira , Steve Arscott , Simon J. Cox , Paulo I. C. Teixeira

Soap bubbles are by essence fragile and ephemeral. Depending on their composition and environment, bubble bursting can be triggered by gravity-induced drainage and/or the evaporation of the liquid and/or the presence of nuclei. They can…

软凝聚态物质 · 物理学 2022-02-01 Aymeric Roux , Alexis Duchesne , Michaël Baudoin

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…

软凝聚态物质 · 物理学 2022-03-02 Rodrigo C. V. Coelho , Luis A. R. G. Cordeiro , Rodrigo B. Gazola , Paulo I. C. Teixeira

We have generated a novel form of shear banding in a 2D foam and measured the relative magnitude of drag forces on soap films at different lubrication layers. We injected air part way along a flowing bubble field in a narrow Hele-Shaw cell.…

软凝聚态物质 · 物理学 2007-05-23 Ariel Balter , Rebecca Perry , James Glazier

Liquid foams are widely used in industry for their high effective viscosity, whose local origin is still unclear. This Letter presents new results on the extension of a suspended soap film, in a configuration mimicking the elementary…

软凝聚态物质 · 物理学 2013-09-11 Jacopo Seiwert , Martin Monloubou , Benjamin Dollet , Isabelle Cantat

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…

软凝聚态物质 · 物理学 2025-11-06 Grace K. Curtis , Ian M. Griffiths , Dominic Vella

Inspired by recent experimental observations of a harmonically excited elastic foil hovering near a wall while supporting substantial weight, we develop a theoretical framework that describes the underlying physical effects. Using…

流体动力学 · 物理学 2025-12-02 Stephane Poulain , Timo Koch , L. Mahadevan , Andreas Carlson

The interaction that occurs between a light solid object and a horizontal soap film of a bamboo foam contained in a cylindrical tube is simulated in 3D. We vary the shape of the falling object from a sphere to a cube by changing a single…

软凝聚态物质 · 物理学 2018-11-21 I. T. Davies

In this paper, we study the formation process of a soap bubble by blowing soap film. Both bubble diameter and formation position were investigated in experiments. We found that the ratio between bubble size and soap film column is constant,…

流体动力学 · 物理学 2017-12-01 Jun Su , Weiguo Wang , Peng Xu , Ding Gu , Yuhao Zhou

A free boundary problem describing small deformations in a membrane based model of electrostatically actuated MEMS is investigated. The existence of stationary solutions is established for small voltage values. A justification of the widely…

偏微分方程分析 · 数学 2013-01-28 Philippe Laurencot , Christoph Walker