The Onset of Two-Dimensional Grid Generated Turbulence in Flowing Soap Films

1996 ◽  
Vol 8 (9) ◽  
pp. S7-S7 ◽  
Author(s):  
Maarten A. Rutgers ◽  
Xiao-lun Wu ◽  
Walter I. Goldburg
Keyword(s):  
Two Dimensional ◽  
Soap Films

Flowing soap films: a laboratory for studying two-dimensional hydrodynamics

1998 ◽  
Vol 254 (1-2) ◽  
pp. 231-247 ◽  
Author(s):  
W.I. Goldburg ◽  
A. Belmonte ◽  
X.L. Wu ◽  
I. Zusman
Keyword(s):  
Two Dimensional ◽  
Soap Films

scholarly journals The dynamics of a viscous soap film with soluble surfactant

2001 ◽  
Vol 442 ◽  
pp. 387-409 ◽  
Author(s):  
JEAN-MARC CHOMAZ
Keyword(s):  
Film Thickness ◽  
Elastic Wave ◽  
Surfactant Concentration ◽  
Stokes Equations ◽  
Film Surface ◽  
Soap Film ◽  
Fluid Viscosity ◽  
Two Dimensional ◽  
Leading Order ◽  
Soap Films

Nearly two decades ago, Couder (1981) and Gharib & Derango (1989) used soap films to perform classical hydrodynamics experiments on two-dimensional flows. Recently soap films have received renewed interest and experimental investigations published in the past few years call for a proper analysis of soap film dynamics. In the present paper, we derive the leading-order approximation for the dynamics of a flat soap film under the sole assumption that the typical length scale of the flow parallel to the film surface is large compared to the film thickness. The evolution equations governing the leading-order film thickness, two-dimensional velocities (locally averaged across the film thickness), average surfactant concentration in the interstitial liquid, and surface surfactant concentration are given and compared to similar results from the literature. Then we show that a sufficient condition for the film velocity distribution to comply with the Navier–Stokes equations is that the typical flow velocity be small compared to the Marangoni elastic wave velocity. In that case the thickness variations are slaved to the velocity field in a very specific way that seems consistent with recent experimental observations. When fluid velocities are of the order of the elastic wave speed, we show that the dynamics are generally very specific to a soap film except if the fluid viscosity and the surfactant solubility are neglected. In that case, the compressible Euler equations are recovered and the soap film behaves like a two-dimensional gas with an unusual ratio of specific heat capacities equal to unity.

scholarly journals 1103 Frequency fluctuations of two-dimensional turbulence in flowing soap films

2012 ◽  
Vol 2012 (0) ◽  
pp. 413-414
Author(s):  
Ruri HIDEMA ◽  
Shion HISAMATSU ◽  
Hiroshi SUZUKI ◽  
Yoshiyuki KOMODA
Keyword(s):  
Two Dimensional ◽  
Soap Films ◽  
Frequency Fluctuations

Mosaics and Two-Dimensional Foams of Freely Suspended Soap Films

Langmuir ◽  
2001 ◽  
Vol 17 (21) ◽  
pp. 6736-6739 ◽  
Author(s):  
J. Mathé ◽  
J.-M. di Meglio ◽  
B. Tinland
Keyword(s):  
Two Dimensional ◽  
Soap Films ◽  
Freely Suspended

Soap films as two-dimensional classical fluids

1990 ◽  
Vol 41 (4) ◽  
pp. 2243-2245 ◽  
Author(s):  
J. M. Chomaz ◽  
B. Cathalau
Keyword(s):  
Two Dimensional ◽  
Soap Films ◽  
Classical Fluids

Two-dimensional rheology of soap films

1996 ◽  
Vol 8 (47) ◽  
pp. 9525-9529 ◽  
Author(s):  
F Bouchama ◽  
J M di Meglio
Keyword(s):  
Two Dimensional ◽  
Soap Films

Two‐dimensional velocity profiles and laminar boundary layers in flowing soap films

1996 ◽  
Vol 8 (11) ◽  
pp. 2847-2854 ◽  
Author(s):  
M. A. Rutgers ◽  
X‐l. Wu ◽  
R. Bhagavatula ◽  
A. A. Petersen ◽  
W. I. Goldburg
Keyword(s):  
Boundary Layers ◽  
Velocity Profiles ◽  
Two Dimensional ◽  
Soap Films ◽  
Laminar Boundary Layers

scholarly journals Hölder regularity at the boundary of two-dimensional sliding almost minimal sets

2018 ◽  
Vol 11 (1) ◽  
pp. 29-63
Author(s):  
Yangqin Fang
Keyword(s):  
Regularity Result ◽  
Hölder Regularity ◽  
Two Dimensional ◽  
Soap Films ◽  
Regularity Theorem ◽  
Plateau’S Problem ◽  
Minimal Sets ◽  
Plateau's Problem ◽  
Dimension 2 ◽  
Holder Regularity

AbstractIn [15], Jean Taylor proved a regularity theorem away from the boundary for Almgren almost minimal sets of dimension 2 in {\mathbb{R}^{3}}. It is quite important for understanding the soap films and the solutions of Plateau’s problem away from boundary. In this paper, we will give a regularity result on the boundary for two-dimensional sliding almost minimal sets in {\mathbb{R}^{3}}.

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