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Colliding drops as coalescing and fragmenting liquid springs

Published online by Cambridge University Press:  03 February 2017

C. Planchette ,
H. Hinterbichler ,
M. Liu ,
D. Bothe  and
G. Brenn
C. Planchette*
Affiliation:
Institute of Fluid Mechanics and Heat Transfer, Graz University of Technology, Inffeldgasse 25/F, 8010 Graz, Austria
H. Hinterbichler
Affiliation:
Institute of Fluid Mechanics and Heat Transfer, Graz University of Technology, Inffeldgasse 25/F, 8010 Graz, Austria
M. Liu
Affiliation:
Center of Smart Interfaces, Darmstadt University of Technology, Alarich-Weiss-Straße 10, 64287 Darmstadt, Germany
D. Bothe
Affiliation:
Center of Smart Interfaces, Darmstadt University of Technology, Alarich-Weiss-Straße 10, 64287 Darmstadt, Germany
G. Brenn
Affiliation:
Institute of Fluid Mechanics and Heat Transfer, Graz University of Technology, Inffeldgasse 25/F, 8010 Graz, Austria
*
†Email address for correspondence: carole.planchette@tugraz.at
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Abstract

A universal modelling approach of drop fragmentation after head-on drop collisions is presented. In this approach, the colliding drops are seen as liquid springs that coalesce, compress and relax, leading the merged drop to break up if it reaches a critical aspect ratio. Combining energetic balance of the compression and relaxation phases with a Rayleigh-like criterion, we deduce the fragmentation threshold velocity for the collision of two and three drops of the same liquid and of two drops of immiscible liquids. Predictions and experimental results obtained for these three kinds of collisions using various liquids and drop sizes are found to be in good agreement over a wide domain whose boundaries are discussed.

JFM classification

Drops and Bubbles: Breakup/coalescence Interfacial Flows (free surface): Capillary flows Drops and Bubbles: Drops
Type
Papers
Information
Journal of Fluid Mechanics , Volume 814 , 10 March 2017 , pp. 277 - 300
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Copyright
© 2017 Cambridge University Press 

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