A predictive inner-outer model for streamwise turbulence statistics in wall-bounded flows
AuthorMathis, R; Hutchins, N; Marusic, I
Source TitleJournal of Fluid Mechanics
PublisherCAMBRIDGE UNIV PRESS
AffiliationDepartment of Mechanical Engineering, Melbourne School of Engineering
Document TypeJournal Article
CitationsMathis, R., Hutchins, N. & Marusic, I. (2011). A predictive inner-outer model for streamwise turbulence statistics in wall-bounded flows. JOURNAL OF FLUID MECHANICS, 681, pp.537-566. https://doi.org/10.1017/jfm.2011.216.
Access StatusOpen Access
© 2011 Cambridge University Press. Online edition of the journal is available at http://journals.cambridge.org/action/displayJournal?jid=FLM
<jats:p>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.</jats:p>
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