Capillary and viscous perturbations to Helmholtz flows

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

Capillary and viscous perturbations to Helmholtz flows

Type

Article

Authors

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

KAUST Grant Number

KUK-C1-013-04

Online Publication Date

2014-02-21

Print Publication Date

2014-03

Date

2014-02-21

Abstract

Inspired by recent calculations by Thoraval et al. (Phys. Rev. Lett., vol. 108, 2012, p.Â 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.

Citation

Moore MR, Ockendon H, Ockendon JR, Oliver JM (2014) Capillary and viscous perturbations to Helmholtz flows. Journal of Fluid Mechanics 742. Available: http://dx.doi.org/10.1017/jfm.2014.39.

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.