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Non-isolated drop impact on surfaces

Published online by Cambridge University Press:  27 November 2017

Y. Wang  and
L. Bourouiba Open the ORCID record for L. Bourouiba [Opens in a new window]
Y. Wang
Affiliation:
The Fluid Dynamics of Disease Transmission Laboratory, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
L. Bourouiba*
Affiliation:
The Fluid Dynamics of Disease Transmission Laboratory, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
*
†Email address for correspondence: [email protected]
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Abstract

Upon impact on a solid surface, a drop expands into a sheet, a corona, which can rebound, stick or splash and fragment into secondary droplets. Previously, focus has been placed on impacts of single drops on surfaces to understand their splash, rebound or spreading. This is important for spraying, printing, and environmental and health processes such as contamination by pathogen-bearing droplets. However, sessile drops are ubiquitous on most surfaces and their interaction with the impacting drop is largely unknown. We report on the regimes of interactions between an impacting drop and a sessile drop. Combining experiments and theory, we derive the existence conditions for the four regimes of drop–drop interaction identified, and report that a subtle combination of geometry and momentum transfer determines a critical impact force governing their physics. Crescent-moon fragmentation is most efficient at producing and projecting secondary droplets, even when the impacting drop Weber number would not allow for splash to occur on the surface considered if the drop were isolated. We introduce a critical horizontal impact Weber number $We_{c}$ that governs the formation of a sheet from the sessile drop upon collision with the expanding corona of the impacting drop. We also predict and validate important properties of the crescent-moon fragmentation: the extension of its sheet base and the ligaments surrounding its base. Finally, our results suggest a new paradigm: impacts on most surfaces can make a splash of a new kind – a crescent-moon – for any impact velocity when neighbouring sessile drops are present.

JFM classification

Drops and Bubbles: Aerosols/atomization Drops and Bubbles: Drops Drops and Bubbles: Drops and Bubbles
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 835 , 25 January 2018 , pp. 24 - 44
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Copyright
© 2017 Cambridge University Press 

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References

Barnes, H. A., Hardalupas, Y., Taylor, A. & Wilkins, J. H. 1999 An investigation of the interaction between two adjacent impinging droplets. In Proceedings of the 15th International Conference on Liquid Atomisation and Spray Systems (ILASS), Toulouse, pp. 1–7. ONERA.Google Scholar
Bhola, R. & Chandra, S. 1999 Parameters controlling solidification of molten wax droplets falling on a solid surface. J. Mater. Sci. 34 (19), 4883–4894.CrossRefGoogle Scholar
Bourouiba, L. & Bush, J. W. M. 2013 Drops and bubbles in the environment. In Handbook of Environmental Fluid Dynamics (ed. Fernando, H. J. S.), chap. 32, pp. 427–439. Taylor and Francis Book Inc.Google Scholar
Bourouiba, L., Dehandschoewercker, E. & Bush, J. W. M. 2014 Violent expiratory events: on coughing and sneezing. J. Fluid Mech. 745, 537–563.Google Scholar
Chandra, S. & Avedisian, C. T. 1991 On the collision of a droplet with a solid surface. Proc. R. Soc. Lond. A 432, 13–41.Google Scholar
Charalampous, G. & Hardalupas, Y. 2016 Impingement and splashing of droplets on spherical targets. In 54th AIAA Aerospace Sciences Meeting (AIAA 2016-1448), pp. 1–12. AIAA.Google Scholar
Clanet, C., Béguin, C., Richard, D. & Quéré, D. 2004 Maximal deformation of an impacting drop. J. Fluid Mech. 517, 199–208.CrossRefGoogle Scholar
Eggers, J., Fontelos, M. A., Josserand, C. & Zaleski, S. 2010 Drop dynamics after impact on a solid wall: theory and simulations. Phys. Fluids 22, 1–13.CrossRefGoogle Scholar
Eggers, J. & Villermaux, E. 2008 Physics of liquid jets. Rep. Prog. Phys. 71, 036601.Google Scholar
Fujimoto, H., Ito, S. & Takezaki, I. 2002 Experimental study of successive collision of two water droplets with a solid. Exp. Fluids 33, 500–502.CrossRefGoogle Scholar
Furbish, D. J., Hammer, K. K., Schmeeckle, M., Borosund, M. N. & Mudd, S. M. 2007 Rain splash of dry sand revealed by high-speed imaging and sticky paper splash targets. J. Geophys. Res. Earth Surf. 112, 1–19.Google Scholar
Gilet, T. & Bourouiba, L. 2014 Rain-induced ejection of pathogens from leaves: revisiting the hypothesis of splash-on-film using high-speed visualization. Integr. Compar. Biol. 54, 974–984.Google Scholar
Gilet, T. & Bourouiba, L. 2015 Fluid fragmentation shapes rain-induced foliar disease transmission. J. R. Soc. Interface 12, 20141092.Google Scholar
Josserand, C. & Thoroddsen, S. T. 2016 Drop impact on a solid surface. Annu. Rev. Fluid Mech. 48, 365–391.CrossRefGoogle Scholar
Laan, N., De Bruin, K. G., Bartolo, D., Josserand, C. & Bonn, D. 2014 Maximum diameter of impacting liquid droplets. Phys. Rev. Appl. 2, 1–7.Google Scholar
Lastakowski, H., Boyer, F., Biance, A. L., Pirat, C. & Ybert, C. 2014 Bridging local to global dynamics of drop impact onto solid substrates. J. Fluid Mech. 747, 103–118.CrossRefGoogle Scholar
Lee, J. B., Derome, D., Dolatabadi, A. & Carmeliet, J. 2016 Energy budget of liquid drop impact at maximum spreading: numerical simulations and experiments. Langmuir 32, 1279–1288.CrossRefGoogle ScholarPubMed
Liang, G. & Mudawar, I. 2016 Review of mass and momentum interactions during drop impact on a liquid film. Intl J. Heat Mass Transfer 101, 577–599.Google Scholar
Madejski, J. 1976 Solidification of droplets on a cold surface. Intl J. Heat Mass Transfer 19, 1009–1013.Google Scholar
Marmanis, H. & Thoroddsen, S. T. 1996 Scaling of the fingering pattern of an impacting drop. Phys. Fluids 10, 1344–1346.CrossRefGoogle Scholar
Mehdizadeh, N. Z., Chandra, S. & Mostaghimi, J. 2004 Formation of fingers around the edges of a drop hitting a metal plate with high velocity. J. Fluid Mech. 510, 353–373.Google Scholar
Moreira, A. L. N., Moita, A. S. & Panão, M. R. 2010 Advances and challenges in explaining fuel spray impingement: how much of single droplet impact research is useful? Prog. Energy Combust. Sci. 36, 554–580.Google Scholar
Rioboo, R., Marengo, M. & Tropea, C. 2002 Time evolution of liquid drop impact onto solid, dry surfaces. Exp. Fluids 33, 112–124.Google Scholar
Scharfman, B. E., Techet, A. H., Bush, J. W. M. & Bourouiba, L. 2016 Visualization of sneeze ejecta: steps of fluid fragmentation leading to respiratory droplets. Exp. Fluids 57, 24.Google Scholar
Scheller, B. L. & Bousfield, D. W. 1995 Newtonian drop impact with a solid surface. AIChE J. 41, 1357–1367.CrossRefGoogle Scholar
Sivakumar, D. & Tropea, C. 2002 Splashing impact of a spray onto a liquid film. Phys. Fluids 14, 10–14.Google Scholar
Wang, Y. & Bourouiba, L. 2017 Drop impact on solid: unified thickness profile of the expanding sheet in the air. J. Fluid Mech. 814, 510–534.Google Scholar
Yarin, A. L. 2006 Drop impact dynamics: splashing, spreading, receding, bouncing …. Annu. Rev. Fluid Mech. 38, 159–192.Google Scholar
Yarin, L. & Weiss, D. 1995 Impact of drops on solid surfaces: self-similar capillary waves, and splashing as a new type of kinematic discontinuity. J. Fluid Mech. 283, 141–173.Google Scholar
Zable, J. L. 1977 Splatter during ink jet printing. IBM J. Res. Dev. 21, 315–320.Google Scholar