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For a given boundary set consisting of arcs and vertices, with two or more arcs meeting at each vertex, we treat the problem of estimating the area density of a soap film-like surface spanning the boundary.

Differential Geometry · Mathematics 2007-05-23 Robert Gulliver , Sumio Yamada

Soap films at equilibrium are modeled, rather than as surfaces, as regions of small total volume through the introduction of a capillarity problem with a homotopic spanning condition. This point of view introduces a length scale in the…

Analysis of PDEs · Mathematics 2022-03-28 Darren King , Francesco Maggi , Salvatore Stuvard

This study conducts a numerical investigation into the three-dimensional film boiling of liquid under the influence of external magnetic fields. The numerical method incorporates a sharp phase-change model based on the volume-of-fluid…

Fluid Dynamics · Physics 2024-10-02 Hao-Tao Gu , Kirti Chandra Sahu , Jie Zhang , Ming-Jiu Ni

In this paper we try to work out in detail the implications of a microscopic theory for capillary waves under the assumption that the density is given along lines normal to the interface. Our study provides interface Hamiltonians for…

Soft Condensed Matter · Physics 2017-11-07 Luis G. MacDowell

Thin liquid or gas films are everywhere in nature, from foams to submillimetric bubbles at a free surface, and their rupture leaves a collection of small drops and bubbles. However, the mechanisms at play responsible for the bursting of…

Fluid Dynamics · Physics 2020-12-02 Laurent Duchemin , Christophe Josserand

We consider the dynamic wetting and dewetting processes of films and droplets of complex liquids on planar surfaces, focusing on the case of colloidal suspensions, where the particle interactions can be sufficiently attractive to cause…

Fluid Dynamics · Physics 2024-11-20 J. Zhang , D. N. Sibley , D. Tseluiko , A. J. Archer

Using absorbance measurements through a Couette cell containing an emulsion of buoyant droplets, volume fraction profiles are measured at various shear rates. These viscous resuspension experiments allow a direct determination of the normal…

Soft Condensed Matter · Physics 2022-02-01 Mehdi Maleki , Clément de Loubens , Hugues Bodiguel

In this work we study the fingering double diffusive convection, namely the buoyancy-driven convection flow within a fluid layer experiencing an unstable salinity gradient and a stable thermal gradient. Especially, we investigate the…

Fluid Dynamics · Physics 2021-12-21 Junyi Li , Yantao Yang

The flow of thin liquid films on inclined or vertical surfaces is one of immense importance, with applications spanning many types of process industries, due to the increased mass and heat transfer brought about by the presence of waves on…

Soft Condensed Matter · Physics 2020-07-24 Idris Adebayo

Thin liquid films with floating active protein machines are considered. Cyclic mechanical motions within the machines, representing microscopic swimmers, lead to molecular propulsion forces applied to the air-liquid interface. We show that,…

Pattern Formation and Solitons · Physics 2015-05-13 Sergio Alonso , Alexander S. Mikhailov

When a suspension dries, the suspending fluid evaporates, leaving behind a dry film composed of the suspended particles. During the final stages of drying, the height of the fluid film on the substrate drops below the particle size,…

Soft Condensed Matter · Physics 2022-03-17 Maarten Wouters , Othmane Aouane , Marcello Sega , Jens Harting

The velocity of a two-dimensional aqueous foam has been measured as it flows through two parallel channels, at a constant overall volumetric flow rate. The flux distribution between the two channels is studied as a function of the ratio of…

Fluid Dynamics · Physics 2013-09-11 Sian A. Jones , Benjamin Dollet , Yves Méheust , Simon J. Cox , Isabelle Cantat

The Euler--Plateau problem, proposed by \cite{gm}, concerns a soap film spanning a flexible loop. The shapes of the film and the loop are determined by the interactions between the two components. In the present work, the Euler--Plateau…

Soft Condensed Matter · Physics 2013-07-15 Yi-chao Chen , Eliot Fried

Surface waves on liquids act as a dynamical phase grating for incident light. In this article, we revisit the classical method of probing such waves (wavelengths of the order of mm) as well as inherent properties of liquids and liquid films…

Optics · Physics 2009-11-11 Tarun Kr. Barik , Partha Roy Chaudhuri , Anushree Roy , Sayan Kar

We study a toy model for electrolytic soap films, the two-dimensional two-component plasma. This model is exactly solvable for a special value of the coulombic coupling constant $\beta q^2=2$. This allows us to compute the disjoining…

Statistical Mechanics · Physics 2007-05-23 Gabriel Tellez , Lina Merchan

The axisymmetric flow of a thin liquid film is considered for the problem of a vertically rotating disk that is partially immersed in a liquid bath. A model for the fully three-dimensional free-boundary problem of the rotating disk, that…

Fluid Dynamics · Physics 2007-06-13 K. Afanasiev , A. Münch , B. Wagner

Although soap films are prone to evaporate due to their large surface to volume ratio, the effect of evaporation on macroscopic film features has often been disregarded in the literature. In this work, we investigate experimentally the…

Soft Condensed Matter · Physics 2019-05-06 Lorène Champougny , Robin Henaff , Frédéric Restagno , François Boulogne , Emmanuelle Rio

The paper is of scientific-methodical character. The classical soap film shape (minimal surface) problem is considered, the film being stretched between two parallel coaxial rings. An analytical approach based on relations to the…

Mathematical Physics · Physics 2016-03-21 Mikhail I. Belishev , Aleksandr V. Ivanov

The ability of soft matter such as drops and bubbles to change shape dynamically during interaction can give rise to counter-intuitive behaviour that may be expected of rigid materials. Here we show that dimple formation on approach and the…

Soft Condensed Matter · Physics 2009-06-25 Derek Y. C. Chan , Evert Klaseboer , Rogerio Manica

The surface of a thin liquid film with nonconstant curvature is unstable, as the Laplace pressure drives a flow mediated by viscosity. We present the results of experiments on one of the simplest variable curvature surfaces: a stepped…

Soft Condensed Matter · Physics 2015-06-11 Joshua D. McGraw , Thomas Salez , Oliver Bäumchen , Elie Raphaël , Kari Dalnoki-Veress