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Droplet impact onto an elastic plate: a new mechanism for splashing

Published online by Cambridge University Press:  02 February 2018

Michael Pegg Open the ORCID record for Michael Pegg [Opens in a new window] ,
Richard Purvis  and
Alexander Korobkin
Michael Pegg*
Affiliation:
School of Mathematics, University of East Anglia, Norwich NR4 7TJ, England
Richard Purvis
Affiliation:
School of Mathematics, University of East Anglia, Norwich NR4 7TJ, England
Alexander Korobkin
Affiliation:
School of Mathematics, University of East Anglia, Norwich NR4 7TJ, England
*
†Email address for correspondence: Michael.Pegg@uea.ac.uk
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Abstract

During a droplet impact onto a substrate, splashing is known to be caused by the presence of surrounding gas or by surface roughness. Impact occurring in a vacuum onto a smooth rigid wall results in droplet spreading, rather than development of a corona or prompt splash. Here we present an analytical and numerical study of a third potential splashing mechanism, namely elastic deformation of the substrate. An axisymmetric Wagner-style model of droplet impact is formulated and solved using the method of normal modes, together with asymptotic analysis and numerical methods. We highlight the effect that a flexible substrate brings to the contact line velocity and jet behaviour, demonstrating that oscillation of the substrate can cause blow-up of the splash jet which is absent for a rigid substrate and indicate the onset of splashing.

JFM classification

Drops and Bubbles: Drops Wakes/Jets: Jets Wakes/Jets: Wakes/Jets
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 839 , 25 March 2018 , pp. 561 - 593
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Copyright
© 2018 Cambridge University Press 

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