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Caterpillar like motion of droplet in a shear flow

A. Chahine, J. Sebilleau, R. Mathis, and D. Legendre

  • Institut de Mécanique des Fluides de Toulouse (IMFT), Institut National Polytechnique de Toulouse, 2 Allée du Professeur Camille Soula, 31400 Toulouse, France

Phys. Rev. Fluids 8, 093601 – Published 1 September, 2023

DOI: https://doi.org/10.1103/PhysRevFluids.8.093601

Abstract

This paper is devoted to a specific motion observed for glycerin droplets sliding on a horizontal hydrophobic substrate under the influence of a shear flow. In this regime, the droplet elongates in the flow direction, adopting a rivulet shape. Waves develop on the droplet sheared surface, resulting in a wavy contracting and stretching motion mechanism, similar to the movement of a caterpillar. If long enough, the droplet can break up into several droplets that can be submitted to a pearling instability. Furthermore, these droplets can also coalesce.

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synopsis

Droplets Scoot Like Caterpillars

Published 1 September, 2023

A liquid droplet pushed by the wind contracts and stretches its way along a surface until it breaks apart.

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References (27)

  1. E. B. Dussan and R. Chow, On the ability of drops or bubbles to stick to non-horizontal surfaces of solids, J. Fluid Mech. 137, 1 (1983).
  2. T. Podgorski, J. M. Flesselles, and L. Limat, Corners, Cusps, and Pearls in Running Drops, Phys. Rev. Lett. 87, 036102 (2001).
  3. N. Le Grand, A. Daerr, and L. Limat, Shape and motion of drops sliding down an inclined plane, J. Fluid Mech. 541, 293 (2005).
  4. L. W. Schwartz, D. Roux, and J. J. Cooper-White, On the shapes of droplets that are sliding on a vertical wall, Physica D 209, 236 (2005).
  5. J. H. Snoeijer, N. Le Grand, L. Limat, H. A. Stone, and J. Eggers, Cornered drops and rivulets, Phys. Fluids 19, 042104 (2007).
  6. J. B. Dupont and D. Legendre, Numerical simulation of static and sliding drop with contact angle hysteresis, J. Comput. Phys. 229, 2453 (2010).
  7. B. A. Puthenveettil, V. K. Senthilkumar, and E. J. Hopfinger, Motion of drops on inclined surfaces in the inertial regime, J. Fluid Mech. 726, 26 (2013).
  8. A. Gulraiz, S. Mathieu, J. Mark, and T. Michael, Modeling the effects of contact angle hysteresis on the sliding of droplets down inclined surfaces, Eur. J. Mech. B/Fluids 48, 218 (2014).
  9. E. B. Dussan, On the ability of drops to stick to surfaces of solids. Part 3. The influences of the motion of the surrounding fluid on dislodging drops, J. Fluid Mech. 174, 381 (1987).
  10. J. Fan, M. C. T. Wilson, and N. Kapur, Displacement of liquid droplets on a surface by a shearing air flow, J. Colloid Interface Sci. 356, 286 (2011).
  11. S. Moghtadernejad, M. Mohammadi, M. Jadidi, M. Tembely, and A. Dolatabadi, Shear driven droplet shedding on surfaces with various wettabilities, SAE Int. J. Aerosp. 6, 459 (2013).
  12. L. Ma, Y. Liu, and H. Hu, An experimental investigation on wind driven droplet moving on surfaces with different wettabilities, in AIAA Scitech 2019 Forum (AIAA, Reston, VA, 2019).
  13. B. Barwari, S. Burgmann, and U. Janoske, Hydrodynamic instabilities of adhering droplets due to a shear flow in a rectangular channel, Chem. Ing. Tech. 91, 991 (2019).
  14. S. Wang, S. Chang, H. Zhao, and C. Yang, Dynamic behaviors of water droplet moving on surfaces with different wettability driven by airflow, Int. J. Multiphase Flow 154, 104127 (2022).
  15. A. Chahine, J. Sebilleau, R. Mathis, and D. Legendre, Sliding droplets in a laminar or turbulent boundary layer, Phys. Rev. Fluids 7, 113605 (2022).
  16. A. J. B. Milne and A. Amirfazli, Drop shedding by shear flow for hydrophilic to superhydrophobic surfaces, Langmuir 25, 14155 (2009).
  17. E. B. White and J. A. Schmucker, Wind- and gravity-forced drop depinning, Phys. Rev. Fluids 6, 023601 (2021).
  18. A. Hooshanginejad and S. Lee, Dynamics of a partially wetting droplet under wind and gravity, Phys. Rev. Fluids 7, 033601 (2022).
  19. A. Yurishchev, A. Ullmann, and N. Brauner, Experiments and modeling of droplets motion induced by turbulent air flow on inclined surfaces, Exp. Therm. Fluid Sci. 140, 110763 (2023).
  20. J. Yang, X. Ma, L. Fei, X. Zhang, K. H. Luo, and S. Shuai, Effects of hysteresis window on contact angle hysteresis behaviour at large Bond number, J. Colloid Interface Sci. 566, 327 (2020).
  21. H. Lamb, Hydrodynamics, 6th ed. (Cambridge University Press, Cambridge, UK, 1993).
  22. W. Nusselt, Die obserflachenkondensation des wasserdampfes, VDI-Zs 60, 541 (1916).
  23. H. Chang, Wave evolution on a falling film, Annu. Rev. Fluid Mech. 26, 103 (1994).
  24. A. Samanta, Shear-imposed falling film, J. Fluid Mech. 753, 131 (2014).
  25. M. S. Acarlar and C. R. Smith, A study of hairpin vortices in a laminar boundary layer. Part 1. Hairpin vortices generated by a hemisphere protuberance, J. Fluid Mech. 175, 1 (1987).
  26. A. Hooshanginejad and S. Lee, Droplet depinning in a wake, Phys. Rev. Fluids 2, 031601(R) (2017).
  27. X. Zhang, B. A. Tuna, S. Yarusevych, and S. D. Peterson, Flow development over isolated droplet-inspired shapes, Int. J. Heat Fluid Flow 88, 108756 (2021).

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