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    A predictive inner–outer model for streamwise turbulence statistics in wall-bounded flows

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    A predictive inner–outer model for streamwise turbulence statistics in wall-bounded flows (2.308Mb)

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    Author
    MATHIS, ROMAIN; HUTCHINS, NICHOLAS; MARUSIC, IVAN
    Date
    2011
    Source Title
    Journal of Fluid Mechanics
    Publisher
    Cambridge University Press
    University of Melbourne Author/s
    Hutchins, Nicholas; Marusic, Ivan; Mathis, Romain
    Affiliation
    Department of Mechanical Engineering, Melbourne School of Engineering
    Metadata
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    Document Type
    Journal Article
    Citations
    Mathis, R., Hutchins, N. & Marusic, I. (2011). A predictive inner–outer model for streamwise turbulence statistics in wall-bounded flows. Journal of Fluid Mechanics, 681, 537–566.
    Access Status
    Open Access
    URI
    http://hdl.handle.net/11343/32976
    DOI
    10.1017/jfm.2011.216
    Description

    © 2011 Cambridge University Press. Online edition of the journal is available at http://journals.cambridge.org/action/displayJournal?jid=FLM

    Abstract
    A model is proposed with which the statistics of the fluctuating streamwise velocity in the inner region of wall-bounded turbulent flows are predicted from a measured large-scale velocity signature from an outer position in the logarithmic region of the flow. Results, including spectra and all moments up to sixth order, are shown and compared to experimental data for zero-pressure-gradient flows over a large range of Reynolds numbers. The model uses universal time-series and constants that were empirically determined from zero-pressure-gradient boundary layer data. In order to test the applicability of these for other flows, the model is also applied to channel, pipe and adverse-pressure-gradient flows. The results support the concept of a universal inner region that is modified through a modulation and superposition of the large-scale outer motions, which are specific to the geometry or imposed streamwise pressure gradient acting on the flow.
    Keywords
    boundary layers

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