The linear stability of a Stokes layer subjected to high-frequency perturbations

C. Thomas, P.J. Blennerhassett, Andrew Bassom, C.J. Davies

    Research output: Contribution to journalArticle

    10 Citations (Scopus)

    Abstract

    © 2014 Cambridge University Press. Quantitative results for the linear stability of planar Stokes layers subject to small, high-frequency perturbations are obtained for both a narrow channel and a flow approximating the classical semi-infinite Stokes layer. Previous theoretical and experimental predictions of the critical Reynolds number for the classical flat Stokes layer have differed widely with the former exceeding the latter by a factor of two or three. Here it is demonstrated that only a 1 % perturbation, at an appropriate frequency, to the nominal sinusoidal wall motion is enough to result in a reduction of the theoretical critical Reynolds number of as much as 60 %, bringing the theoretical conditions much more in line with the experimentally reported values. Furthermore, within the various experimental observations there is a wide variation in reported critical conditions and the results presented here may provide a new explanation for this behaviour.
    Original languageEnglish
    Pages (from-to)193-218
    JournalJournal of Fluid Mechanics
    Volume764
    DOIs
    Publication statusPublished - Feb 2015

    Fingerprint Dive into the research topics of 'The linear stability of a Stokes layer subjected to high-frequency perturbations'. Together they form a unique fingerprint.

  • Projects

    DP0880463 - The Stability of Unsteady Fluid Flows in Channels and Pipes

    Bassom, A., Blennerhassett, P. & Davies, C.

    ARC Discovery Projects

    1/01/0831/12/10

    Project: Research

    Cite this