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ON THE FUNDAMENTAL FLUCTUATING WALL-SHEAR-STRESS

Olivier Cabrit
CERFACS, CFD Team Toulouse, France; Department of Mechanical Engineering University of Melbourne Victoria 3010, Australia

Romain Mathis
Laboratoire de Mecanique de Lille CNRS UMR 8107, University Lille Nord de France 59655 Villeneuve d'Ascq, France

Ivan Marusic
Department of Mechanical Engineering, The University of Melbourne, Melbourne, VIC, 3010, Australia

Résumé

Recent studies by Marusic et al. (2010) and Mathis et al. (2013) suggest the existence of a fundamental wall-shear-stress in any wall-bounded turbulent flow. It can be interpreted as a background turbulent wall-shear-stress free of Reynolds number effects. To investigate its universal aspect, here we report a statistical/spectral comparison of this fundamental wall-shear-stress in three different configurations: boundary layer, pipe, and channel flows. A model is proposed to generate a synthetic fundamental fluctuating wall-shear-stress surface, which can then be used to predict the 2D wall-shear-stress at any Reynolds number thanks to an inner-outer scale interaction model.