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    Capillary and viscous perturbations to Helmholtz flows

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    Type
    Article
    Authors
    Moore, M. R.
    Ockendon, H.
    Ockendon, J. R.
    Oliver, J. M.
    KAUST Grant Number
    KUK-C1-013-04
    Date
    2014-02-21
    Online Publication Date
    2014-02-21
    Print Publication Date
    2014-03
    Permanent link to this record
    http://hdl.handle.net/10754/597722
    
    Metadata
    Show full item record
    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 Mechanics
    DOI
    10.1017/jfm.2014.39
    ae974a485f413a2113503eed53cd6c53
    10.1017/jfm.2014.39
    Scopus Count
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