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 |
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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. |
doi_str_mv | 10.1017/jfm.2011.216 |
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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. 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Fluid Mech</addtitle><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. 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Fluid Mech</addtitle><date>2011-08-25</date><risdate>2011</risdate><volume>681</volume><spage>537</spage><epage>566</epage><pages>537-566</pages><issn>0022-1120</issn><eissn>1469-7645</eissn><coden>JFLSA7</coden><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.</abstract><cop>Cambridge, UK</cop><pub>Cambridge University Press</pub><doi>10.1017/jfm.2011.216</doi><tpages>30</tpages><oa>free_for_read</oa></addata></record> |
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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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