On the shape of giant soap bubbles

被引:32
|
作者
Cohen, Caroline [1 ]
Texier, Baptiste Darbois [1 ]
Reyssat, Etienne [2 ]
Snoeijer, Jacco H. [3 ,4 ,5 ]
Quere, David [2 ]
Clanet, Christophe [1 ]
机构
[1] Ecole Polytech, UMR CNRS 7646, Lab Hydrodynam X, F-91128 Palaiseau, France
[2] Univ Paris Diderot, Sorbonne Univ, Paris Sci & Lettres PSL Res Univ, ESPCI Paris,UMR CNRS 7636,Lab Phys & Mecan Millie, F-75005 Paris, France
[3] Univ Twente, Phys Fluid Grp, NL-7500 AE Enschede, Netherlands
[4] Univ Twente, MESA Inst Nanotechnol, NL-7500 AE Enschede, Netherlands
[5] Eindhoven Univ Technol, Dept Appl Phys, NL-5600 MB Eindhoven, Netherlands
关键词
soap bubbles; Marangoni stress; self-similarity; FILMS; GENERATION; DYNAMICS; ANALOGY;
D O I
10.1073/pnas.1616904114
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
We study the effect of gravity on giant soap bubbles and show that it becomes dominant above the critical size l = a(2)/e(0), where e(0) is the mean thickness of the soap film and a = root gamma b/rho g is the capillary length (gamma b stands for vapor-liquid surface tension, and rho stands for the liquid density). We first show experimentally that large soap bubbles do not retain a spherical shape but flatten when increasing their size. A theoretical model is then developed to account for this effect, predicting the shape based on mechanical equilibrium. In stark contrast to liquid drops, we show that there is no mechanical limit of the height of giant bubble shapes. In practice, the physicochemical constraints imposed by surfactant molecules limit the access to this large asymptotic domain. However, by an exact analogy, it is shown how the giant bubble shapes can be realized by large inflatable structures.
引用
收藏
页码:2515 / 2519
页数:5
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