Capillary and viscous perturbations to Helmholtz flows

M. R. Moore, H. Ockendon, J. R. Ockendon, J. M. Oliver

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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. © 2014 Cambridge University Press.
Original languageEnglish (US)
JournalJournal of Fluid Mechanics
StatePublished - Feb 21 2014
Externally publishedYes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUK-C1-013-04
Acknowledgements: The authors wish to thank Prof. S. T. Thoroddsen and M.-J. Thoraval for some helpful discussions, and the reviewers for useful comments. This publication was based on work supported in part by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). M.R.M. would like to acknowledge the EPSRC for financial support via a studentship. J.R.O. was in receipt of a Leverhulme Emeritus Fellowship.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.


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