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Experiments on the breakup of drop-impact crowns by Marangoni holes

Published online by Cambridge University Press:  04 April 2018

Abdulrahman B. Aljedaani ,
Chunliang Wang ,
Aditya Jetly  and
S. T. Thoroddsen Open the ORCID record for S. T. Thoroddsen [Opens in a new window]
Abdulrahman B. Aljedaani
Affiliation:
Division of Physical Sciences and Engineering, King Abdullah University of Science and Technology (KAUST), Thuwal 23955-6900, Saudi Arabia
Chunliang Wang
Affiliation:
Division of Physical Sciences and Engineering, King Abdullah University of Science and Technology (KAUST), Thuwal 23955-6900, Saudi Arabia
Aditya Jetly
Affiliation:
Division of Physical Sciences and Engineering, King Abdullah University of Science and Technology (KAUST), Thuwal 23955-6900, Saudi Arabia
S. T. Thoroddsen*
Affiliation:
Division of Physical Sciences and Engineering, King Abdullah University of Science and Technology (KAUST), Thuwal 23955-6900, Saudi Arabia
*
†Email address for correspondence: [email protected]
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Abstract

We investigate experimentally the breakup of the Edgerton crown due to Marangoni instability when a highly viscous drop impacts on a thin film of lower-viscosity liquid, which also has different surface tension than the drop liquid. The presence of this low-viscosity film modifies the boundary condition, giving effective slip to the drop along the solid substrate. This allows the high-viscosity drop to form a regular bowl-shaped crown, which rises vertically away from the solid and subsequently breaks up through the formation of a multitude of Marangoni holes. Previous experiments have proposed that the breakup of the crown results from a spray of fine droplets ejected from the thin low-viscosity film on the solid, e.g. Thoroddsen et al. (J. Fluid Mech., vol. 557, 2006, pp. 63–72). These droplets can hit the inner side of the crown forming spots with lower surface tension, which drives a thinning patch leading to the hole formation. We test the validity of this assumption with close-up imaging to identify individual spray droplets, to show how they hit the crown and their lower surface tension drive the hole formation. The experiments indicate that every Marangoni-driven patch/hole is promoted by the impact of such a microdroplet. Surprisingly, in experiments with pools of higher surface tension, we also see hole formation. Here the Marangoni stress changes direction and the hole formation looks qualitatively different, with holes and ruptures forming in a repeatable fashion at the centre of each spray droplet impact. Impacts onto films of the same liquid, or onto an immiscible liquid, do not in general form holes. We furthermore characterize the effects of drop viscosity and substrate-film thickness on the overall evolution of the crown. We also measure the three characteristic velocities associated with the hole formation: i.e. the Marangoni-driven growth of the thinning patches, the rupture speed of the resulting thin films inside these patches and finally the growth rate of the fully formed holes in the crown wall.

JFM classification

Interfacial Flows (free surface): Capillary flows Drops and Bubbles: Drops Interfacial Flows (free surface): Interfacial Flows (free surface)
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 844 , 10 June 2018 , pp. 162 - 186
Copyright
© 2018 Cambridge University Press 

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References

Banks, D., Ajawara, C. & Aguilar, G. 2012 Effects of drop and film viscosity on drop impacts onto thin films. ICLASS 2012 12th Triennial International Conference on Liquid Atomization and Spray Systems. Heidelberg, Germany, September 2-6.Google Scholar
Cossali, G. E., Marengo, M., Coghe, A. & Zhdanov, S. 2004 The role of time in single drop splash on thin film. Exp. Fluids 36 (6), 888–900.10.1007/s00348-003-0772-0Google Scholar
Culick, F. E. C. 1960 Comments on a ruptured soap film. J. Appl. Phys. 31, 1128–1129.10.1063/1.1735765Google Scholar
Deegan, R. D., Brunet, P. & Eggers, J. 2008 Complexities of splashing. Nonlinearity 21, C1–C11.10.1088/0951-7715/21/1/C01Google Scholar
De Gennes, P.-G., Brochard-Wyart, F. & Quéré, D. 2004 Capillarity and Wetting Phenomena: Drops, Bubbles, Pearls, Waves. Springer.10.1007/978-0-387-21656-0Google Scholar
Edgerton, H. E. & Killian, J. R. 1939 Flash! Seeing the Unseen by Ultra High-speed Photography. Boston, Hale, Cushman and Flint.Google Scholar
Fedorchenko, A. I. & Wang, A. B. 2004 On some common features of drop impact on liquid surfaces. Phys. Fluids 16 (5), 1349–1365.10.1063/1.1652061Google Scholar
Fujimoto, H., Ogino, T., Takuda, H. & Hatta, N. 2001 Collision of a droplet with a hemispherical static droplet on a solid. Intl J. Multiphase Flow 27 (7), 1227–1245.10.1016/S0301-9322(00)00075-6Google Scholar
Geppert, A., Chatzianagnostou, D., Meister, C., Gomaa, H., Lamanna, G. & Weigand, B. 2016 Classification of impact morphology and splashing/deposition limit for N-Hexadecane. Atomiz. Sprays. 26 (10), 983–1007.10.1615/AtomizSpr.2015013352Google Scholar
Jensen, O. E. & Grotberg, J. B. 1992 Insoluble surfactant spreading on a thin viscous film: shock evolution and film rupture. J. Fluid Mech. 240, 259–288.10.1017/S0022112092000090Google Scholar
Josserand, C. & Zaleski, S. 2003 Droplet splashing on a thin film. Phys. Fluids 15, 1650–1657.10.1063/1.1572815Google Scholar
Kim, H., Muller, K., Shardt, O., Afkhami, S. & Stone, H. A. 2017 Solutal Marangoni flows of miscible liquids drive transport without surface contamination. Nat. Phys. 13, 1745–2481.10.1038/nphys4214Google Scholar
Kittel, H. M., Roisman, I. V. & Tropea, C. 2016 Outcome of drop impact onto a liquid film of different viscosities. ILASS - Europe 27th Annual Conference on Liquid Atomization and Spray Systems, 4–7 September 2016, Brighton, UK, DWI-03.Google Scholar
Li, E. Q., Al-Otaibi, S. A., Vakarelski, I. U. & Thoroddsen, S. T. 2014 Satellite formation during bubble transition through an interface between immiscible liquids. J. Fluid Mech. 744, R1.10.1017/jfm.2014.67Google Scholar
Liang, G. & Mudawar, I. 2016 Review of mass and momentum interactions during drop impact on a liquid film. Intl J. Heat Mass Transfer 101, 577–599.10.1016/j.ijheatmasstransfer.2016.05.062Google Scholar
Marston, J. O., Truscott, T. T., Speirs, N. B., Mansoor, M. M. & Thoroddsen, S. T. 2016 Crown sealing and buckling instability during water entry of spheres. J. Fluid Mech. 794, 506–529.10.1017/jfm.2016.165Google Scholar
Opfer, L., Roisman, I. V., Venzmer, J., Klostermann, M. & Tropea, C. 2014 Droplet-air collisions dynamics: evolution of the film thickness. Phys. Rev. E 89, 013023.Google Scholar
Peregrine, D. H. 1981 The fascination of fluid mechanics. J. Fluid Mech. 106, 59–80.10.1017/S0022112081001523Google Scholar
Rein, M. 1993 Phenomena of liquid drop impact on solid and liquid surfaces. Fluid Dyn. Res. 12 (2), 61–93.10.1016/0169-5983(93)90106-KGoogle Scholar
Roisman, I. V., Horvat, K. & Tropea, C. 2006 Spray impact: rim transverse instability initiating fingering and splash and description of a secondary spray. Phys. Fluids 18, 102–104.10.1063/1.2364187Google Scholar
Roisman, I. V. & Tropea, C. 2002 Impact of a drop onto a wetted wall: description of crown formation and propagation. J. Fluid Mech. 472, 373–397.10.1017/S0022112002002434Google Scholar
Savva, N. & Bush, J. W. M. 2008 Viscous sheet retraction. J. Fluid Mech. 626, 211–240.10.1017/S0022112009005795Google Scholar
Tan, E. & Thoroddsen, S. T. 1998 Marangoni instability of two liquids mixing at a free surface. Phys. Fluids 10, 3038–3040.10.1063/1.869831Google Scholar
Taylor, G. I. 1959 The dynamics of thin sheets of fluid. III. Disintegration of fluid sheets. Proc R. Soc. Lond. A 253, 313–321.Google Scholar
Thoraval, M.-J., Takehara, K., Etoh, T. G., Popinet, S., Ray, P. J. C., Zaleski, S. & Thoroddsen, S. T. 2012 Von Kármán vortex street within an impacting drop. Phys. Rev. Lett. 108, 264506.10.1103/PhysRevLett.108.264506Google Scholar
Thoraval, M. J. & Thoroddsen, S. T. 2013 Contraction of an air disk caught between two different liquids. Phys. Rev. E 88, 061001.Google Scholar
Thoroddsen, S. T. 2002 The ejecta sheet generated by the impact of a drop. J. Fluid Mech. 451, 373–381.10.1017/S0022112001007030Google Scholar
Thoroddsen, S. T., Etoh, T. G. & Takehara, K. 2006a Crown breakup by Marangoni instability. J. Fluid Mech. 557, 63–72.10.1017/S002211200600975XGoogle Scholar
Thoroddsen, S. T., Etoh, T. G. & Takehara, K. 2006b Crown-breakup by a thousand holes. Phys. Fluids 18, 091110; Gallery of Fluid Motion.10.1063/1.2336802Google Scholar
Thoroddsen, S. T., Thoraval, M.-J., Takehara, K. & Etoh, T. G. 2011 Droplet splashing by a slingshot mechanism. Phys. Rev. Lett. 106, 034501.10.1103/PhysRevLett.106.034501Google Scholar
Trujillo, M. F. & Lee, C. F. 2001 Modeling crown formation due to the splashing of a droplet. Phys. Fluids 13, 2503–2516.10.1063/1.1388541Google Scholar
Wang, A. B. & Chen, C. C. 2000 Splashing impact of a single drop onto very thin liquid films. Phys. Fluids 12 (9), 2155–2158.10.1063/1.1287511Google Scholar
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, 229–254.10.1017/S002211209800411XGoogle Scholar
Yarin, A. L. 2006 Drop impact dynamics: splashing, spreading, receding, bouncing.... Annu. Rev. Fluid Mech. 38, 159–192.10.1146/annurev.fluid.38.050304.092144Google Scholar
Yarin, A. L. & Weiss, D. A. 1995 Impact of drops on solid surfaces: self-similar capillary waves and splashing as a new type of kinematic discontinuity. J. Fluid Mech. 283, 141–173.10.1017/S0022112095002266Google Scholar
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, 5–15.10.1017/jfm.2011.396Google Scholar

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