Droplet splashing on a thin liquid film

We propose a theory predicting the transition between splashing and deposition for impacting drops. This theory agrees with current experimental observations and is supported by numerical simulations. It assumes that the width of the ejected liquid sheet during impact is precisely controlled by a viscous length l ν . Numerous predictions follow this theory and they compare well with recent experiments reported by Thoroddsen [J. Fluid Mech. 451, 373 (2002)].

[1]  Arthur Mason Worthington,et al.  XXVIII. On the forms assumed by drops of liquids falling vertically on a horizontal plate , 1877, Proceedings of the Royal Society of London.

[2]  P. Garabedian Oblique water entry of a wedge , 1953 .

[3]  Fred E. C. Culick,et al.  Comments on a Ruptured Soap Film , 1960 .

[4]  George Keith Batchelor,et al.  An Introduction to Fluid Dynamics. , 1969 .

[5]  P. Hobbs,et al.  Splashing of water drops on solid and wetted surfaces: hydrodynamics and charge separation , 1971, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[6]  D. H. Peregrine,et al.  The fascination of fluid mechanics , 1981, Journal of Fluid Mechanics.

[7]  C. Stow,et al.  An experimental investigation of fluid flow resulting from the impact of a water drop with an unyielding dry surface , 1981, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[8]  J. Keller,et al.  Surface Tension Driven Flows , 1983 .

[9]  John E. Field,et al.  The Impact of Compressible Liquids , 1983 .

[10]  A. Prosperetti,et al.  Bubble entrainment by the impact of drops on liquid surfaces , 1990, Journal of Fluid Mechanics.

[11]  M. Rein Phenomena of liquid drop impact on solid and liquid surfaces , 1993 .

[12]  Hasan N. Oguz,et al.  The Impact of Drops on Liquid Surfaces and the Underwater Noise of Rain , 1993 .

[13]  S. Zaleski,et al.  Modelling Merging and Fragmentation in Multiphase Flows with SURFER , 1994 .

[14]  A. Yarin,et al.  Impact of drops on solid surfaces: self-similar capillary waves, and splashing as a new type of kinematic discontinuity , 1995, Journal of Fluid Mechanics.

[15]  Mark J. Cooker,et al.  Pressure-impulse theory for liquid impact problems , 1995, Journal of Fluid Mechanics.

[16]  C. Tropea,et al.  Droplet-wall collisions: Experimental studies of the deformation and breakup process , 1995 .

[17]  M. Marengo,et al.  The impact of a single drop on a wetted solid surface , 1997 .

[18]  Stéphane Zaleski,et al.  Formation de digitations lors de l'impact d'une goutte sur un film liquide , 1998 .

[19]  M. Miksis,et al.  Self-similar dynamics of a viscous wedge of fluid , 1999 .

[20]  S. Zaleski,et al.  Volume-of-Fluid Interface Tracking with Smoothed Surface Stress Methods for Three-Dimensional Flows , 1999 .

[21]  A. Yarin,et al.  Single drop impact onto liquid films: neck distortion, jetting, tiny bubble entrainment, and crown formation , 1999, Journal of Fluid Mechanics.

[22]  S. Zaleski,et al.  DIRECT NUMERICAL SIMULATION OF FREE-SURFACE AND INTERFACIAL FLOW , 1999 .

[23]  Z. C. Feng,et al.  Instability of a liquid jet emerging from a droplet upon collision with a solid surface , 2000 .

[24]  Markus Bussmann,et al.  Modeling the splash of a droplet impacting a solid surface , 2000 .

[25]  Malcolm R. Davidson Boundary integral prediction of the spreading of an inviscid drop impacting on a solid surface , 2000 .

[26]  C. Tropea,et al.  Outcomes from a drop impact on solid surfaces , 2001 .

[27]  Cameron Tropea,et al.  Impact of a drop onto a wetted wall: description of crown formation and propagation , 2002, Journal of Fluid Mechanics.

[28]  S. Thoroddsen The ejecta sheet generated by the impact of a drop , 2002, Journal of Fluid Mechanics.