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Impact of a high-speed train of microdrops on a liquid pool

Published online by Cambridge University Press:  08 March 2016

Wilco Bouwhuis ,
Xin Huang ,
Chon U Chan ,
Philipp E. Frommhold ,
Claus-Dieter Ohl ,
Detlef Lohse ,
Jacco H. Snoeijer  and
Devaraj van der Meer
Wilco Bouwhuis*
Affiliation:
Physics of Fluids Group, Mesa$+$ Institute and J. M. Burgers Center for Fluid Dynamics, University of Twente, 7500AE Enschede, The Netherlands
Xin Huang
Affiliation:
Cavitation Lab, Division of Physics and Applied Physics, Nanyang Technological University, Singapore 637371, Singapore Fluid Mechanics Labs, Department of Mechanical Engineering, National University of Singapore, Singapore 117575, Singapore
Chon U Chan
Affiliation:
Cavitation Lab, Division of Physics and Applied Physics, Nanyang Technological University, Singapore 637371, Singapore
Philipp E. Frommhold
Affiliation:
Christian Doppler Laboratory for Cavitation and Micro-Erosion, Third Institute of Physics, Georg-August-University Göttingen, 37077 Göttingen, Germany
Claus-Dieter Ohl
Affiliation:
Cavitation Lab, Division of Physics and Applied Physics, Nanyang Technological University, Singapore 637371, Singapore
Detlef Lohse
Affiliation:
Physics of Fluids Group, Mesa$+$ Institute and J. M. Burgers Center for Fluid Dynamics, University of Twente, 7500AE Enschede, The Netherlands Max Planck Institute for Dynamics and Self-Organization, 37077 Göttingen, Germany
Jacco H. Snoeijer
Affiliation:
Physics of Fluids Group, Mesa$+$ Institute and J. M. Burgers Center for Fluid Dynamics, University of Twente, 7500AE Enschede, The Netherlands Mesoscopic Transport Phenomena, Eindhoven University of Technology, 5612 AZ Eindhoven, The Netherlands
Devaraj van der Meer
Affiliation:
Physics of Fluids Group, Mesa$+$ Institute and J. M. Burgers Center for Fluid Dynamics, University of Twente, 7500AE Enschede, The Netherlands
*
†Email address for correspondence: [email protected]
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Abstract

A train of high-speed microdrops impacting on a liquid pool can create a very deep and narrow cavity, reaching depths more than 1000 times the size of the individual drops. The impact of such a droplet train is studied numerically using boundary integral simulations. In these simulations, we solve the potential flow in the pool and in the impacting drops, taking into account the influence of liquid inertia, gravity and surface tension. We show that for microdrops the cavity shape and maximum depth primarily depend on the balance of inertia and surface tension and discuss how these are influenced by the spacing between the drops in the train. Finally, we derive simple scaling laws for the cavity depth and width.

JFM classification

Drops and Bubbles: Drops Drops and Bubbles: Drops and Bubbles Micro-/Nano-fluid dynamics: Microfluidics
Type
Papers
Information
Journal of Fluid Mechanics , Volume 792 , 10 April 2016 , pp. 850 - 868
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Copyright
© 2016 Cambridge University Press 

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