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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…

Classical Analysis and ODEs · Mathematics 2009-09-29 Jenny Harrison

A body immersed in a supersaturated fluid like carbonated water can accumulate a dynamic field of bubbles upon its surface. If the body is mobile, the attached bubbles can lift it upward against gravity, but a fluid-air interface can clean…

Fluid Dynamics · Physics 2024-05-10 Saverio E. Spagnolie , Samuel Christianson , Carsen Grote

The buoyancy-driven motion of two identical gas bubbles released in line in a liquid at rest is examined with the help of highly resolved simulations, focusing on moderately inertial regimes in which the path of an isolated bubble is…

Fluid Dynamics · Physics 2021-07-07 Jie Zhang , Ming-Jiu Ni , Jacques Magnaudet

The motion of a long gas bubble in a confined capillary tube is ubiquitous in a wide range of engineering and biological applications. While the understanding of the deposited thin viscous film near the tube wall in Newtonian fluids is well…

Fluid Dynamics · Physics 2022-12-21 SungGyu Chun , Bingqiang Ji , Zhengyu Yang , Vinit Kumar Malik , Jie Feng

In confined systems, the entrapment of a gas volume with an equivalent spherical diameter greater than the dimension of the channel can form extended bubbles that obstruct fluid circuits and compromise performance. Notably, in sealed…

We study the evolution of the interface given by two incompressible fluids with different densities in the porous strip $\RR\times[-l,l]$. This problem is known as the Muskat problem and is analogous to the two phase Hele-Shaw cell. The…

Analysis of PDEs · Mathematics 2013-01-21 Diego Córdoba Gazolaz , Rafael Granero-Belinchón , Rafael Orive Illera

The elementary topological T1 process in a two-dimensional foam corresponds to the "flip" of one soap film with respect to the geometrical constraints. From a mechanical point of view, this T1 process is an elementary relaxation process…

Soft Condensed Matter · Physics 2010-09-08 Marc Durand , Howard A. Stone

Millimeter-sized particles trapped at the surface of a liquid bath attract each other through the deformation of the liquid-air interface, a phenomenon known as "the Cheerios effect". We consider here a situation similar at first sight: the…

Soft Condensed Matter · Physics 2026-04-08 Youna Louyer , Megan Delens , Nicolas Vandewalle , Benjamin Dollet , Isabelle Cantat , Anaïs Gauthier

The aerodynamic breakup of a polymeric droplet in the bag breakup regime is investigated experimentally and compared with the result of the Newtonian droplet. To understand the effect of liquid elasticity, the Weber number is kept fixed…

Fluid Dynamics · Physics 2023-09-27 Navin Kumar Chandra , Shubham Sharma , Saptarshi Basu , Aloke Kumar

We investigate the modes of deformation of an initially spherical bubble immersed in a homogeneous and isotropic turbulent background flow. We perform direct numerical simulations of the two-phase incompressible Navier-Stokes equations,…

Fluid Dynamics · Physics 2021-07-07 Stéphane Perrard , Aliénor Rivière , Wouter Mostert , Luc Deike

In this paper we first review the covering space method with constrained BV functions for solving the classical Plateau's problem. Next, we carefully analyze some interesting examples of soap films compatible with the covering space method:…

Differential Geometry · Mathematics 2017-10-12 Giovanni Bellettini , Maurizio Paolini , Franco Pasquarelli , Giuseppe Scianna

In order to assess the physical mechanisms at stake when giant gas bubbles burst at the top of a magma conduit, laboratory experiments have been performed. An overpressurized gas cavity is initially closed by a thin liquid film, which…

We study the effects of nozzle geometry on the dynamics of thin fluid films flowing down a vertical cylindrical fibre. Recent experiments show that varying the nozzle diameter can lead to different flow regimes and droplet characteristics…

Fluid Dynamics · Physics 2023-07-19 Hangjie Ji , Abolfazl Sadeghpour , Y. Sungtaek Ju , Andrea L. Bertozzi

The dynamics and stability of thin liquid films have fascinated scientists over many decades. Thin film flows are central to numerous areas of engineering, geophysics, and biophysics and occur over a wide range of length, velocity, and…

We hypothesize that dynamical systems concepts used to study the transition to turbulence in shear flows are applicable to other transition phenomena in fluid mechanics. In this paper, we consider a finite air bubble that propagates within…

Fluid Dynamics · Physics 2020-07-01 J. S. Keeler , A. B. Thompson , G. Lemoult , A. Juel , A. L. Hazel

The rise of a single bubble confined between two vertical plates is investigated over a wide range of Reynolds numbers. In particular, we focus on the evolution of the bubble speed, aspect ratio and drag coefficient during the transition…

Within the coexistence region between liquid and vapor the equilibrium pressure of a simulated fluid exhibits characteristic jumps and plateaus when plotted as a function of density at constant temperature. These features exclusively…

Statistical Mechanics · Physics 2015-09-09 S. Prestipino , C. Caccamo , D. Costa , G. Malescio , G. Munaò

Experiments are conducted to study the path and shape of single air bubbles (diameter range 0.10- 0.20cm) rising freely in clean water. The experimental results demonstrate that the bubble shape has a bistable state, i. e. the bubble…

patt-sol · Physics 2007-05-23 Mingming Wu , Moteza Gharib

We investigate the role of the evaporation regime on the stability of a volatile liquid film flowing over an inclined heated surface while considering the dynamics of both the liquid phase and the diffusion of its vapor. We (i) modify the…

Fluid Dynamics · Physics 2024-06-04 Omair A. A. Mohamed , Luca Biancofiore

In this paper, we show that small spherical soap bubbles in irreducible simply connected symmetric spaces of rank greater than one are constructed from the limits of a certain kind of modified mean curvature flows starting from small…

Differential Geometry · Mathematics 2020-04-03 Naoyuki Koike