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Capillary and viscous perturbations to Helmholtz flows

Published online by Cambridge University Press:  21 February 2014

Madeleine Rose Moore ,
H. Ockendon ,
J. R. Ockendon  and
J. M. Oliver
Madeleine Rose Moore
Affiliation:
Mathematical Institute, University of Oxford, Woodstock Road, Oxford OX2 6GG, UK
H. Ockendon
Affiliation:
Mathematical Institute, University of Oxford, Woodstock Road, Oxford OX2 6GG, UK
J. R. Ockendon
Affiliation:
Mathematical Institute, University of Oxford, Woodstock Road, Oxford OX2 6GG, UK
J. M. Oliver*
Affiliation:
Mathematical Institute, University of Oxford, Woodstock Road, Oxford OX2 6GG, UK
*
†Email address for correspondence: [email protected]
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Abstract

Inspired by recent calculations by Thoraval et al. (Phys. Rev. Lett., vol. 108, 2012, p. 264506) relating to droplet impact, this paper presents an analysis of the perturbations to the free surface caused by small surface tension and viscosity in steady Helmholtz flows. In particular, we identify the regimes in which appreciable vorticity can be shed from the boundary layer to the bulk flow.

JFM classification

Boundary Layers: Boundary layer structure Drops and Bubbles: Cavitation Interfacial Flows (free surface): Interfacial Flows (free surface)
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 742 , 10 March 2014 , R1
Copyright
© 2014 Cambridge University Press 

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Footnotes

Article last updated 07 March 2023

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