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Dynamics and morphology of droplet penetrating a soap film

Published online by Cambridge University Press:  29 December 2021

Yanju Wei Open the ORCID record for Yanju Wei [Opens in a new window] ,
Zhiqiang Mu ,
Yajie Zhang ,
Yajing Yang ,
Shenghua Liu ,
Chung K. Law  and
Abhishek Saha Open the ORCID record for Abhishek Saha [Opens in a new window]
Yanju Wei*
Affiliation:
School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an 710049, PR China
Zhiqiang Mu
Affiliation:
School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an 710049, PR China
Yajie Zhang
Affiliation:
School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an 710049, PR China
Yajing Yang
Affiliation:
State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace, Xi'an Jiaotong University, Xi'an 710049, PR China
Shenghua Liu
Affiliation:
School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an 710049, PR China
Chung K. Law
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, NJ 08544, USA
Abhishek Saha
Affiliation:
Department of Mechanical and Aerospace Engineering, University of California San Diego, La Jolla, CA 92093, USA
*
† Email address for correspondence: weiyanju@xjtu.edu.cn
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Abstract

This work reports experimental observation and theoretical explanation of the dynamics and morphology of a droplet passing through a soap film. During the process, the film undergoes four sequential responses: (1) film deformation upon droplet impact; (2) drop–film detachment; (3) coalescence of the film shell with the drop; (4) peel-off of the film shell. Physical models and the corresponding analytical expressions are developed to reveal the underlying physics for the observed four responses. It is identified that the film is an elongated catenoid under continuous stretch by the droplet, and that they separate at the fixed height of 5.8 times of the droplet radius while the detach point is located at the centre of the height. After separation, the droplet is wrapped with a film shell, which is then punctured by the ring tip of the converging surface wave at the impacting Weber number range of [45, 225]. The film shell then coalesces with the droplet, falls off with a fixed velocity and is eventually ejected as a bubble leaving the droplet with a transplanted surface of the soap solution.

JFM classification

Drops and Bubbles: Breakup/coalescence Drops and Bubbles: Bubble dynamics Interfacial Flows (free surface): Contact lines
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 933 , 25 February 2022 , A32
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

Araya, D.B. & Dabiri, J.O. 2015 Vertical axis wind turbine in a falling soap film. Phys. Fluids 27, 091108.CrossRefGoogle Scholar
Belmonte, A., Goldburg, W.I., Kellay, H., Rutgers, M.A., Martin, B. & Wu, X.L. 1999 Velocity fluctuations in a turbulent soap film: the third moment in two dimensions. Phys. Fluids 11, 1196–1200.CrossRefGoogle Scholar
Bergeron, V. 1999 Forces and structure in thin liquid soap films. J. Phys: Condens. Matter 11 (9), R215–R238.Google Scholar
Bliss, G.A. 1935 Calculus of Variations, p. 105. Published for the Mathematical Association of America by the Open Court publishing company.Google Scholar
Cerbus, R.T. & Goldburg, W.I. 2013 Intermittency in 2D soap film turbulence. Phys. Fluids 25, 105111.CrossRefGoogle Scholar
Couder, Y., Protiere, S., Fort, E. & Boudaoud, A. 2005 Dynamical phenomena: walking and orbiting droplets. Nature 437 (7056), 208–208.CrossRefGoogle ScholarPubMed
Courbin, L. & Stone, H.A. 2006 Impact, puncturing, and the self-healing of soap films. Phys. Fluids 18, 091105.CrossRefGoogle Scholar
Davidson, J. & Ryu, S.J. 2017 High-speed visualization of soap bubble blowing and image-processing-based analysis of pinch–off dynamics. J. Visual. 20, 53–61.CrossRefGoogle Scholar
De Gennes, P.G., Brochard-Wyart, F. & Quéré, D. 2013 Capillarity and Wetting Phenomena: Drops, Bubbles, Pearls, Waves. Springer Science & Business Media.Google Scholar
Dong, K., Yi, S.J., Kim, H.D. & Kim, K.C. 2014 Visualization study on the transient liquid film behavior and inner gas flow after rupture of a soap bubble. J. Visual. 17 (4), 337–344.Google Scholar
Fa Yed, M., Portaro, R., Gunter, A., Hamid, A.A. & Ng, H.D. 2011 Visualization of flow patterns past various objects in two-dimensional flow using soap film. Phys. Fluids 23, 091104.CrossRefGoogle Scholar
Frazier, S., Jiang, X.Y. & Burton, J.C. 2020 How to make a giant bubble. Phys. Rev. Fluids 5, 013304.CrossRefGoogle Scholar
Hicks, P.D. & Purvis, R. 2011 Air cushioning in droplet impacts with liquid layers and other droplets. Phys. Fluids 23 (6), 062104.CrossRefGoogle Scholar
Hooke, R. 1757 Communicated to the Royal Society, The History of the Royal Society of London, (ed. T. Birch), London, p. 3, 29.Google Scholar
Huibers, P.D.T. & Shah, D.O. 1997 Multispectral determination of soap film thickness. Langmuir 13, 5995–5998.CrossRefGoogle Scholar
Isenberg, C. 1992 The Science of Soap Film and Soap Bubbles, p. 167. Dover Publications, INC.Google Scholar
Kellay, H. & Goldburg, W.I. 2002 Two-dimensional turbulence: a review of some recent experiments. Rep. Prog. Phys. 65 (5), 845–894.CrossRefGoogle Scholar
Kim, I. & Wu, X.L. 2010 Tunneling of micron-sized droplets through soap films. Phys. Rev. E 82 (2), 026313.CrossRefGoogle ScholarPubMed
Kirstetter, G., Raufaste, C. & Celestini, F. 2012 Jet impact on a soap film. Phys. Rev. E 86, 036303.CrossRefGoogle ScholarPubMed
Landau, L.D. & Lifshitz, E.M. 2008 Fluid Mechanics, 2nd edn, Course of Theoretical Physics. Elsevier (Singapore) Pte Ltd. 6, 242, 247, Eq.(62.9).Google Scholar
Lawrence, A.S.C. 1930 Stability in soap films. Nature 125, 970–971.CrossRefGoogle Scholar
Le Goff, A., Courbin, L., Stone, H.A. & Quéré, D. 2008 Energy absorption in a bamboo foam. Europhys. Lett. 84, 36001.CrossRefGoogle Scholar
Newton, I. 1952 Book II, Obs. 17-19. In Opticks, pp. 214–219. Based on the 4th ed, London, 1730. Dover.Google Scholar
Panizza, P. & Courbin, L. 2016 Bubble blowing by the numbers. Phys. Today 69 (7), 78–79.CrossRefGoogle Scholar
Perrin, J. 1919 Soap bubbles and films. Sci. Am. 88, 50–51.CrossRefGoogle Scholar
Pucci, G., Harris, D.M. & Bush, J.W.M. 2015 Partial coalescence of soap bubbles. Phys. Fluids 27, 061704.CrossRefGoogle Scholar
Rivera, M.K., Aluie, H. & Ecke, R.E. 2014 The direct enstrophy cascade of two-dimensional soap film flows. Phys. Fluids 26, 055105.CrossRefGoogle Scholar
Salkin, L., Schmit, A., Panizza, P. & Courbin, L. 2014 Influence of boundary conditions on the existence and stability of minimal surfaces of revolution made of soap films. Am. J. Phys. 82 (9), 839–847.CrossRefGoogle Scholar
Salkin, L., Schmit, A., Panizza, P. & Courbin, L. 2016 Generating soap bubbles by blowing on soap films. Phys. Rev. Lett. 116, 007801.CrossRefGoogle ScholarPubMed
Sloane, T.O. 1893 Experiments with soap bubbles. Sci. Am. 68, 266.CrossRefGoogle Scholar
Tang, X.Y., Saha, A., Law, C.K. & Sun, C. 2019 Bouncing drop on liquid: dynamics of interfacial gas layer. Phys. Fluids 31 (1), 013304.CrossRefGoogle Scholar
Taylor, G.I. & Michael, D.H. 1973 On making holes in a sheet of fluid. J. Fluid Mech. 58 (4), 625–639.CrossRefGoogle Scholar
Thoroddsen, S.T., Thoraval, M., Takehara, K. & Etoh, T.G. 2012 Micro-bubble morphologies following drop impacts onto a pool surface. J. Fluid Mech. 708, 469–479.CrossRefGoogle Scholar
Viscometers, C.K. & Standards, V.O. 2012 Standard Test Method for Kinematic Viscosity of Transparent and Opaque Liquids (and Calculation of Dynamic Viscosity). ASTM.Google Scholar
Vorobieff, P., Rivera, M. & Ecke, R.E. 1999 Soap film flows: statistics of two-dimensional turbulence. Phys. Fluids 11, 2167–2177.CrossRefGoogle Scholar
Wei, Y.J., Zhang, Y.J., Yang, Y.J., Zhang, J. & Liu, S.H. 2020 Coalescence of a soap film into a pool. Phys. Fluids 32 (2), 024103.Google Scholar
Yang, Y.J., Mei, C.X., Zhang, X.D., Wei, Y.J. & Liu, S.H. 2019 Kinematics and passing modes of a droplet impacting on a soap film. Acta. Phys. Sin-Ch Ed 68 (15), 156101.Google Scholar
Zang, D.Y., Li, L., Di, W.L., Zhang, Z.H., Ding, C.L., Chen, Z., Shen, W., Binks, B.P. & Geng, X.G. 2018 Inducing drop to bubble transformation via resonance in ultrasound. Nat. Commun. 9, 3546.CrossRefGoogle ScholarPubMed
Zhou, M.L., Li, M., Chen, Z.Y., Han, J.F. & Liu, D. 2017 Formation of soap bubbles by gas jet. Appl. Phys. Lett. 111, 241604.CrossRefGoogle Scholar
Zou, J., Wang, W., Ji, C. & Pan, C.M. 2017 Droplets passing through a soap film. Phys. Fluids 29, 0621100.CrossRefGoogle Scholar

Wei et al. supplementary movie 1

Film peeling-off, We=126

Download Wei et al. supplementary movie 1(Video)
Video 226.2 KB

Wei et al. supplementary movie 2

Occasional cushion break, We=20

Download Wei et al. supplementary movie 2(Video)
Video 672.1 KB

Wei et al. supplementary movie 3

Rebounding, We=14

Download Wei et al. supplementary movie 3(Video)
Video 760.3 KB

Wei et al. supplementary movie 4

Pocket-free packaging, We=31

Download Wei et al. supplementary movie 4(Video)
Video 454.4 KB

Wei et al. supplementary movie 5

Pocketed film packaging, We=280

Download Wei et al. supplementary movie 5(Video)
Video 186.7 KB

Wei et al. supplementary movie 6

Drop-film coalescence on impact, We=352

Download Wei et al. supplementary movie 6(Video)
Video 212.6 KB
Supplementary material: PDF

Wei et al. supplementary movie material

Analysis report

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PDF 2.9 MB