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

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 momen...

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Veröffentlicht in:Journal of fluid mechanics 2011-08, Vol.681, p.537-566
Hauptverfasser: MATHIS, ROMAIN, HUTCHINS, NICHOLAS, MARUSIC, IVAN
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container_title Journal of fluid mechanics
container_volume 681
creator MATHIS, ROMAIN
HUTCHINS, NICHOLAS
MARUSIC, IVAN
description 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.
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subjects Boundary layer
Boundary layer and shear turbulence
Boundary layers
Channels
Computational fluid dynamics
Constants
Exact sciences and technology
Flow velocity
Flows in ducts, channels, nozzles, and conduits
Fluid dynamics
Fluid flow
Fluid mechanics
Fundamental areas of phenomenology (including applications)
Mathematical models
Physics
Reynolds number
Statistics
Turbulence
Turbulence simulation and modeling
Turbulent flow
Turbulent flows, convection, and heat transfer
title A predictive inner–outer model for streamwise turbulence statistics in wall-bounded flows
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