- 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

Oblique drop impact onto a deep liquid pool

Marise V. Gielen1,*, Pascal Sleutel1,†, Jos Benschop2, Michel Riepen2, Victoria Voronina2, Claas Willem Visser1, Detlef Lohse1, Jacco H. Snoeijer1,3, Michel Versluis1 et al.

Hanneke Gelderblom1,‡

  • 1Physics of Fluids Group, Faculty of Science and Technology, MESA+ Institute for Nanotechnology, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands
  • 2ASML The Netherlands B.V., De Run 6501, 5504 DR Veldhoven, The Netherlands
  • 3Mesoscopic Transport Phenomena, Eindhoven University of Technology, P.O. Box 513, 5300 MB Eindhoven, The Netherlands

  • *m.v.gielen@utwente.nl
  • †c.p.sleutel@utwente.nl
  • ‡h.gelderblom@utwente.nl
PDF

Phys. Rev. Fluids 2, 083602 – Published 23 August, 2017

DOI: https://doi.org/10.1103/PhysRevFluids.2.083602

Abstract

Oblique impact of drops onto a solid or liquid surface is frequently observed in nature. Most studies on drop impact and splashing, however, focus on perpendicular impact. Here we study oblique impact of 100μm drops onto a deep liquid pool, where we quantify the splashing threshold, maximum cavity dimensions and cavity collapse by high-speed imaging above and below the water surface. Gravity can be neglected in these experiments. Three different impact regimes are identified: smooth deposition onto the pool, splashing in the direction of impact only, and splashing in all directions. We provide scaling arguments that delineate these regimes by accounting for the drop impact angle and Weber number. The angle of the axis of the cavity created below the water surface follows the impact angle of the drop irrespectively of the Weber number, while the cavity depth and its displacement with respect to the impact position do depend on the Weber number. Weber number dependency of both the cavity depth and displacement is modeled using an energy argument.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (47)

  1. M. Rein, The transitional regime between coalescing and splashing drops, J. Fluid Mech. 306, 145 (1996).
  2. H. N. Oguz and A. Prosperetti, Bubble entrainment by the impact of drops on liquid surfaces, J. Fluid Mech. 219, 143 (2006).
  3. K. Sellegri, C. D. O'Dowd, Y. J. Yoon, S. G. Jennings, and G. de Leeuw, Surfactants and submicron sea spray generation, J. Geophys. Res. Atmos. 111, D22215 (2006).
  4. C. A. E. Peirce, C. Priest, T. M. McBeath, and M. J. McLaughlin, Uptake of phosphorus from surfactant solutions by wheat leaves: Spreading kinetics, wetted area, and drying time, Soft Matter 12, 209 (2016).
  5. T. Gilet and J. W. M. Bush, Droplets bouncing on a wet, inclined surface, Phys. Fluids 24, 122103 (2012).
  6. Z. Djuric and P. Grant, Two-dimensional simulation of liquid metal spray deposition onto a complex surface: II. Splashing and redeposition, Model. Simul. Mater. Sci. Eng. 9, 111 (2001).
  7. Z. Wang, H. Du, J. Liu, L. Han, and S. Liu, Spray wall-impingement from a single hole nozzle under common rail condition, Adv. Mater. Res. 347–353, 770 (2012).
  8. C. Mundo, M. Sommerfeld, and C. Tropea, Droplet-wall collisions: Experimental studies of the deformation and breakup process, Int. J. Multiphase Flow 21, 151 (1995).
  9. C. Josserand and S. T. Thoroddsen, Drop impact on a solid surface, Annu. Rev. Fluid Mech. 48, 365 (2016).
  10. S. T. Thoroddsen, K. Takehara, and T. G. Etoh, Micro-splashing by drop impacts, J. Fluid Mech. 706, 560 (2012).
  11. L. V. Zhang, J. Toole, K. Fezzaa, and R. D. Deegan, Splashing from drop impact into a deep pool: Multiplicity of jets and the failure of conventional scaling, J. Fluid Mech. 703, 402 (2012).
  12. A. L. Yarin and D. A. Weiss, Impact of drops on solid surfaces: self-similar capillary waves, and splashing as a new type of kinematic discontinuity, J. Fluid Mech. 283, 141 (1995).
  13. A. L. Yarin, Drop impact dynamics: Splashing, spreading, receding, bouncing…, Annu. Rev. Fluid Mech. 38, 159 (2006).
  14. R. D. Deegan, P. Brunet, and J. Eggers, Complexities of splashing, Nonlinearity 21, C1 (2008).
  15. C. Josserand and S. Zaleski, Droplet splashing on a thin liquid film, Phys. Fluids 15, 1650 (2003).
  16. I. V. Roisman and C. Tropea, Impact of a drop onto a wetted wall: Description of crown formation and propagation, J. Fluid Mech. 472, 373 (2002).
  17. J. O. Marston and S. T. Thoroddsen, Apex jets from impacting drops, J. Fluid Mech. 614, 293 (2008).
  18. B. Ray, G. Biswas, and A. Sharma, Bubble pinch-off and scaling during liquid drop impact on liquid pool, Phys. Fluids 24, 082108 (2012).
  19. B. Ray, G. Biswas, and A. Sharma, Regimes during liquid drop impact on a liquid pool, J. Fluid Mech. 768, 492 (2015).
  20. E. Castillo-Orozco, A. Davanlou, P. K. Choudhury, and R. Kumar, Droplet impact on deep liquid pools: Rayleigh jet to formation of secondary droplets, Phys. Rev. E 92, 053022 (2015).
  21. S. T. Thoroddsen, The ejecta sheet generated by the impact of a drop, J. Fluid Mech. 451, 373 (2002).
  22. T. Tran, H. De Maleprade, C. Sun, and D. Lohse, Air entrainment during impact of droplets on liquid surfaces, J. Fluid Mech. 726, R3 (2013).
  23. Š. Šikalo and E. N. Ganić, Phenomena of droplet–surface interactions, Exp. Thermal Fluid Sci. 31, 97 (2006).
  24. Š. Šikalo, C. Tropea, and E.N. Ganić, Impact of droplets onto inclined surfaces, J. Colloid Interface Sci. 286, 661 (2005).
  25. 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, 1 (2014).
  26. D. G. K. Aboud and A.-M. Kietzig, Splashing threshold of oblique droplet impacts on surfaces of various wettability, Langmuir 31, 10100 (2015).
  27. R. Bergmann, D. van der Meer, S. Gekle, A. van der Bos, and D. Lohse, Controlled impact of a disk on a water surface: Cavity dynamics, J. Fluid Mech. 633, 381 (2009).
  28. S. Gekle, A. van der Bos, R. Bergmann, D. van der Meer, and D. Lohse, Noncontinuous Froude Number Scaling for the Closure Depth of a Cylindrical Cavity, Phys. Rev. Lett. 100, 084502 (2008).
  29. G.-J. Michon, C. Josserand, and T. Séon, Jet dynamics post drop impact on a deep pool, Phys. Rev. Fluids 2, 023601 (2017).
  30. S. Gekle, J. M. Gordillo, D. van der Meer, and D. Lohse, High-Speed Jet Formation after Solid Object Impact, Phys. Rev. Lett. 102, 034502 (2009).
  31. M. S. Longuet-Higgins and H. Oguz, Critical microjets in collapsing cavities, J. Fluid Mech. 290, 183 (1995).
  32. L. Xu, W. W. Zhang, and S. R. Nagel, Drop Splashing on a Dry Smooth Surface, Phys. Rev. Lett. 94, 184505 (2005).
  33. 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).
  34. S. K. Alghoul, C. N. Eastwick, and D. B. Hann, Normal droplet impact on horizontal moving films: an investigation of impact behaviour and regimes, Exp. Fluids 50, 1305 (2011).
  35. T. Okawa, T. Shiraishi, and T. Mori, Effect of impingement angle on the outcome of single water drop impact onto a plane water surface, Exp. Fluids 44, 331 (2008).
  36. Z. Che, A. Deygas, and O. K. Matar, Impact of droplets on inclined flowing liquid films, Phys. Rev. E 92, 023032 (2015).
  37. G. Liang, Y. Guo, Y. Yang, N. Zhen, and S. Shen, Spreading and splashing during a single drop impact on an inclined wetted surface, Acta Mech. 224, 2993 (2013).
  38. X. Gao and R. Li, Impact of a single drop on a flowing liquid film, Phys. Rev. E 92, 053005 (2015).
  39. J. R. Castrejón-Pita, B. N. Muñoz-Sánchez, I. M. Hutchings, and A. A. Castrejón-Pita, Droplet impact onto moving liquids, J. Fluid Mech. 809, 716 (2016).
  40. M. Cheng and J. Lou, A numerical study on splash of oblique drop impact on wet walls, Comput. Fluids 115, 11 (2015).
  41. P. Brambilla and A. Guardone, Automatic tracking of corona propagation in three-dimensional simulations of non-normal drop impact on a liquid film, Computing 95, 415 (2013).
  42. B. Ray, G. Biswas, and A. Sharma, Oblique drop impact on deep and shallow liquid, Commun. Comput. Phys. 11, 1386 (2012).
  43. C. W. Visser, P. E. Frommhold, S. Wildeman, R. Mettin, D. Lohse, and C. Sun, Dynamics of high-speed micro-drop impact: Numerical simulations and experiments at frame-to-frame times below 100 ns, Soft Matter 11, 1708 (2015).
  44. A. M. Worthington, A Study of Splashes (Longmans, Green, and Co., London, 1908).
  45. C. D. Stow and M. G. Hadfield, An experimental investigation of fluid flow resulting from the impact of a water drop with an unyielding dry surface, Proc. R. Soc. London A 373, 419 (1981).
  46. M. Le Merrer, C. Clanet, D. Quéré, É. Raphaël, and F. Chevy, Wave drag on floating bodies, Proc. Natl. Acad. Sci. USA 108, 15064 (2011).
  47. U. Schnars and W. P. O. Jüptner, Digital recording and numerical reconstruction of holograms, Meas. Sci. Technol. 13, R85 (2002).

Outline

Information

Phys. Rev. Fluids 2, 083602– Published 23 August, 2017
  • Received 18 November 2016

©2017 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation