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. © 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.Sponsors
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.Publisher
Cambridge University Press (CUP)Journal
Journal of Fluid MechanicsISSN
0022-11201469-7645
Handle URI
http://hdl.handle.net/10754/597722ae974a485f413a2113503eed53cd6c53
10.1017/jfm.2014.39