- Letter
- Access by Xinjiang University
Marginal regeneration-induced drainage of surface bubbles
Phys. Rev. Fluids 6, L101601 – Published 6 October, 2021
DOI: https://doi.org/10.1103/PhysRevFluids.6.L101601
Abstract
The prediction of the lifetime of surface bubbles necessitates a better understanding of the thinning dynamics of the bubble cap. In 1959, Mysels et al. [Soap Films: Studies of Their Thinning and a Bibliography (Pergamon, New York, 1959)], proposed that marginal regeneration, i.e., the rise of patches thinner than the film should be taken into account to describe the film drainage. Nevertheless, an accurate description of these buoyant patches and of their dynamics as well as a quantification of their contribution to the thinning dynamics is still lacking. In this paper, we visualize the patches, and show that their rising velocities and sizes are in good agreement with models respectively based on the balance of gravitational and surface viscous forces and on a Rayleigh-Taylor-like instability. Our results suggest that, in an environment saturated in humidity, the drainage induced by their dynamics correctly describes the film drainage at the apex of the bubble within the experimental error bars. We conclude that the film thinning of soap bubbles is indeed controlled, to a large extent, by marginal regeneration in the absence of evaporation.
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References (41)
- L. Salkin, A. Schmit, P. Panizza, and L. Courbin, Generating Soap Bubbles by Blowing on Soap Films, Phys. Rev. Lett. 116, 077801 (2016).
- F. Seychelles, Y. Amarouchene, M. Bessafi, and H. Kellay, Thermal Convection and Emergence of Isolated Vortices in Soap Bubbles, Phys. Rev. Lett. 100, 144501 (2008).
- G. Liger-Belair, C. Cilindre, R. D. Gougeon, M. Lucio, I. Gebefugi, P. Jeandet, and P. Schmitt-Kopplin, Unraveling different chemical fingerprints between a champagne wine and its aerosols, Proc. Natl. Acad. Sci. USA 106, 16545 (2009).
- O. Boucher, D. Randall, P. Artaxo, C. Bretherton, G. Feingold, P. Forster, V.-M. Kerminen, Y. Kondo, H. Liao, U. Lohmann, P. Rasch, S. K. Satheesh, S. Sherwood, B. Stevens, and X. Y. Zhang, Clouds and Aerosols (Cambridge University Press, Cambridge, 2013), Sec. 7, pp. 571–658.
- D. M. Murphy, J. R. Anderson, P. K. Quinn, L. M. McInnes, F. J. Brechtel, S. M. Kreidenweis, A. M. Middlebrook, M. Pósfai, D. S. Thomson, and P. R. Buseck, Influence of sea-salt on aerosol radiative properties in the southern ocean marine boundary layer, Nature (London) 392, 62 (1998).
- S. Poulain and L. Bourouiba, Biosurfactants Change the Thinning of Contaminated Bubbles at Bacteria-Laden Water Interfaces, Phys. Rev. Lett. 121, 204502 (2018).
- S. Poulain, E. Villermaux, and L. Bourouiba, Ageing and burst of surface bubbles, J. Fluid Mech. 851, 636 (2018).
- J. Miguet, M. Pasquet, F. Rouyer, Y. Fang, and E. Rio, Stability of big surface bubbles: Impact of evaporation and bubbles size, Soft Matter 16, 1082 (2020).
- G. Debrégeas, P. G. De Gennes, and F. Brochard-Wyart, The life and death of ‘bare’ viscous bubbles, Science 279, 1704 (1998).
- H. Kočárková, F. Rouyer, and F. Pigeonneau, Film drainage of viscous liquid on top of bare bubble: Influence of the bond number, Phys. Fluids 25, 022105 (2013).
- P. D. Howell, The draining of a two-dimensional bubble, J. Eng. Math. 35, 251 (1999).
- H. Lhuissier and E. Villermaux, Bursting bubble aerosols, J. Fluid Mech 696, 5 (2012).
- P.-G. de Gennes, Young soap films, Langmuir 17, 2416 (2001).
- L. Champougny, M. Roche, W. Drenckhan, and E. Rio, Life and death of not so “bare” bubbles, Soft Matter 12, 5276 (2016).
- M. Saad Bhamla, C. Chai, A À Marco, J. Tajuelo, and G. G. Fuller, Interfacial mechanisms for stability of surfactant-laden films, PLoS ONE 12, e0175753 (2017).
- K. J. Mysels, S. Frankel, and K. Shinoda, Soap Films: Studies of Their Thinning and a Bibliography (Pergamon, Oxford, 1959).
- A. Gros, A. Bussonnière, S. Nath, and I. Cantat, Marginal regeneration in a horizontal film: Instability growth law in the nonlinear regime, Phys. Rev. Fluids 6, 024004 (2021).
- H. N. Stein, On marginal regeneration, Adv. Colloid Interface Sci. 34, 175 (1991).
- R. Bruinsma, Theory of hydrodynamic convection in soap films, Physica A 216, 59 (1995).
- A. Aradian, E. Raphael, and P.-G. De Gennes, “marginal pinching” in soap films, Europhys. Lett. 55, 834 (2001).
- V. A. Nierstrasz and G. Frens, Marginal regeneration in thin vertical liquid films, J. Colloid Interface Sci. 207, 209 (1998).
- V. A. Nierstrasz and G. Frens, Marginal regeneration and the Marangoni effect, J. Colloid Interface Sci. 215, 28 (1999).
- S. Naire, R. J. Braun, and S. A. Snow, A 2+1 dimensional insoluble surfactant model for a vertical draining free film, J. Comput. Appl. Math 166, 385 (2004).
- J. Seiwert, R. Kervil, S. Nou, and I. Cantat, Velocity Field in a Vertical Foam Film, Phys. Rev. Lett. 118, 048001 (2017).
- V. A. Nierstrasz and G. Frens, Marangoni flow driven instabilities and marginal regeneration, J. Colloid Interface Sci. 234, 162 (2001).
- E. Shabalina, A. Bérut, M. Cavelier, A. Saint-Jalmes, and I. Cantat, Rayleigh-Taylor-like instability in a foam film, Phys. Rev. Fluids 4, 124001 (2019).
- R. E. Goldstein, H. E. Huppert, H. K. Moffatt, and A. I. Pesci, Instability of a gravity current within a soap film, J. Fluid Mech. 753, R1 (2014).
- C. Stubenrauch and K. Khristov, Foams and foam films stabilized by CnTAB: Influence of the chain length and of impurities, J. Colloid Interface Sci. 286, 710 (2005).
- C. T. Nguyen, H. M. Gonnermann, Y. Chen, C. Huber, A. A. Maiorano, A. Gouldstone, and J. Dufek, Film drainage and the lifetime of bubbles, Geochemistry, Geophys., Geosystems 14, 3616 (2013).
- F. Boulogne, Cheap and versatile humidity regulator for environmentally controlled experiments, Eur. Phys. J. E 42, 51 (2019).
- M. A. C. Teixeira, S. Arscott, S. J. Cox, and P. I. Teixeira, What is the shape of an air bubble on a liquid surface? Langmuir 31, 13708 (2015).
- F. Boulogne, Oospectro, https://github.com/sciunto-org/oospectro, 2018, accessed 25 February 2021
- N. Adami and H. Caps, Capillary-driven two-dimensional buoyancy in vertical soap films, Europhys. Lett. 106, 46001 (2014).
- P. Stevenson, Remarks on the shear viscosity of surfaces stabilised with soluble surfactants, J. Colloid Interface Sci. 290, 603 (2005).
- O. Pitois, C. Fritz, and M. Vignes-Adler, Liquid drainage through aqueous foam: Study of the flow on the bubble scale, J. Colloid Interface Sci. 282, 458 (2005).
- S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Dover, Mineola, 1981).
- Y. Couder, J. M. Chomaz, and M. Rabaud, On the hydrodynamics of soap films, Physica D 37, 384 (1989).
- J. Seiwert, M. Monloubou, B. Dollet, and I. Cantat, Extension of a Suspended Soap Film: A Homogeneous Dilatation Followed by New Film Extraction, Phys. Rev. Lett 111, 094501 (2013).
- C. Cohen, B. D. Texier, E. Reyssat, J. H. Snoeijer, D. Quéré, and C. Clanet, On the shape of giant soap bubbles, Proc. Natl. Acad. Sci. USA 114, 2515 (2017).
- F. E. C. Culick, Comments on a ruptured soap film, J. Appl. Phys. 31, 1128 (1960).
- B. Dollet and F. Boulogne, Natural convection above circular disks of evaporating liquids, Phys. Rev. Fluids 2, 053501 (2017).