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Splashing from drop impact into a deep pool: multiplicity of jets and the failure of conventional scaling

Published online by Cambridge University Press:  05 July 2012

L. V. Zhang
Affiliation:
Department of Physics & Center for the Study of Complex Systems, University of Michigan, Ann Arbor, MI 48109, USA
J. Toole
Affiliation:
Department of Physics & Center for the Study of Complex Systems, University of Michigan, Ann Arbor, MI 48109, USA
K. Fezzaa
Affiliation:
X-Ray Science Division, Argonne National Laboratory, Argonne, IL 60439, USA
R. D. Deegan*
Affiliation:
Department of Physics & Center for the Study of Complex Systems, University of Michigan, Ann Arbor, MI 48109, USA
*
Email address for correspondence: [email protected]

Abstract

We report high-speed optical and X-ray observations of jets formed during the impact of a drop with a deep pool of the same liquid. We show that a scaling that relies entirely on liquid properties, as is conventionally employed, is insufficient to determine the threshold for splashing. In order to determine if the gas properties could account for this deficit, we conducted experiments with different surrounding gases. We find that the splashing threshold depends on the gas’s dynamic viscosity, but not its density. We argue that these results are consistent with a thickening of the ejecta caused by the bubble trapped on impact between the drop and the pool. We also show that drop impact can generate a third jet, distinct from the lamella and the ejecta, that produces secondary droplets of an intermediate size.

Type
Papers
Copyright
Copyright © Cambridge University Press 2012

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Footnotes

Present address: Engineering systems division, MIT, Cambridge, MA 02139, USA.

References

1. Batchelor, G. K. 2000 An Introduction to Fluid Dynamics. Cambridge University Press.CrossRefGoogle Scholar
2. Chandra, S. & Avedisian, C. T. 1991 On the collision of a droplet with a solid surface. Proc. R. Soc. Lond. A 432 (1884), 1341.Google Scholar
3. Cossali, G. E., Coghe, A. & Marengo, M. 1997 Impact of a single drop on a wetted solid surface. Exp. Fluids 22 (6), 463472.CrossRefGoogle Scholar
4. Deegan, R. D., Brunet, P. & Eggers, J. 2008 Complexities of splashing. Nonlinearity 21 (1), C1C11.CrossRefGoogle Scholar
5. Driscoll, M. M. & Nagel, S. R. 2011 Ultrafast interference imaging of air in splashing dynamics. Phys. Rev. Lett. 107.CrossRefGoogle ScholarPubMed
6. Duchemin, L. & Josserand, C. 2011 Curvature singularity and film-skating during drop impact. Phys. Fluids 23, 091701.CrossRefGoogle Scholar
7. Fezzaa, K. & Wang, Y. J. 2008 Ultrafast X-ray phase-contrast imaging of the initial coalescence phase of two water droplets. Phys. Rev. Lett. 100, 104501.CrossRefGoogle ScholarPubMed
8. Kolinski, J. M., Rubinstein, S. M., Mandre, S., Brenner, M. P., Weitz, D. A. & Mahadevan, L. 2012 Skating on a film of air: drops impacting on a surface. Phys. Rev. Lett. 108 (7).CrossRefGoogle ScholarPubMed
9. Lemmon, E. W., Huber, M. L. & McLinden, M. O. 2010 NIST standard reference database 23: reference fluid thermodynamic and transport properties-REFPROP, Version 9.0, National Institute of Standards and Technology, Standard Reference Data Program, Gaithersburg.Google Scholar
10. Mandre, S., Mani, M. & Brenner, M. P. 2009 Precursors to splashing of liquid droplets on a solid surface. Phys. Rev. Lett. 102, 134502.CrossRefGoogle ScholarPubMed
11. Rioboo, R., Bauthier, C., Conti, J., Voue, M. & De Coninck, J. 2003 Experimental investigation of splash and crown formation during single drop impact on wetted surfaces. Exp. Fluids 35, 648652.CrossRefGoogle Scholar
12. Smith, F. T., Li, L. & Wu, G. X. 2003 Air cushioning with a lubrication/inviscid balance. J. Fluid Mech. 482, 291318.CrossRefGoogle Scholar
13. Thoroddsen, S. T. 2002 The ejecta sheet generated by the impact of a drop. J. Fluid Mech. 451, 373381.CrossRefGoogle Scholar
14. Thoroddsen, S. T., Etoh, T. G. & Takehara, K. 2003 Air entrapment under an impacting drop. J. Fluid Mech. 478, 125134.CrossRefGoogle Scholar
15. Thoroddsen, S. T., Thoraval, M. J., Takehara, K. & Etoh, T. G. 2011 Droplet splashing by a slingshot mechanism. Phys. Rev. Lett. 106, 034501.CrossRefGoogle ScholarPubMed
16. van der Veen, R. C. A., Tran, T., Lohse, D. & Sun, C. 2012 Direct measurements of air layer profiles under impacting droplets using high-speed colour interferometry. Phys. Rev E 85, 026315.CrossRefGoogle ScholarPubMed
17. Weiss, D. A. & Yarin, A. L. 1999 Single drop impact onto liquid films: neck distortion, jetting, tiny bubble entrainment, and crown formation. J. Fluid Mech. 385, 229254.CrossRefGoogle Scholar
18. Worthington, A. M. 1882 On impact with a liquid surface. Proc. Phys. Soc. Lond. 34, 217230.Google Scholar
19. Xu, L. 2010 Instability development of a viscous liquid drop impacting a smooth substrate. Phys. Rev. E 82, 025303.Google ScholarPubMed
20. Xu, L., Zhang, W. W. & Nagel, S. R. 2005 Drop splashing on a dry smooth surface. Phys. Rev. Lett. 94, 184505.CrossRefGoogle ScholarPubMed
21. Zhang, L. V., Brunet, P., Eggers, J. & Deegan, R. D. 2010 Wavelength selection in the crown splash. Phys. Fluids 22, 122105.CrossRefGoogle Scholar
22. Zhang, L. V., Toole, J., Fezzaa, K. & Deegan, R. D. 2012 Evolution of the ejecta sheet from the impact of a drop with a deep pool. J. Fluid Mech. 690, 515.CrossRefGoogle Scholar

Zhang et al. supplementary movie

High-speed X-ray movie of a drop of a water-glycerol mixture impacting on a pool of the same liquid at We=228 and Re=4540.

Download Zhang et al. supplementary movie(Video)
Video 5.8 MB

Zhang et al. supplementary movie

High-speed X-ray movie of a drop of a water-glycerol mixture impacting on a pool of the same liquid at We=228 and Re=4540.

Download Zhang et al. supplementary movie(Video)
Video 394.7 KB