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High Reynolds number effects in wall turbulence

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

Nicholas Hutchins
Department of Mechanical Engineering University of Melbourne Parkville, Victoria 3010, Australia

Romain Mathis
Department of Mechanical Engineering, The University of Melbourne, Melbourne, VIC, 3010, Australia

Abstract

A review of recent discoveries from high Reynolds number studies of turbulent boundary layers is given. The emergent regime of very large-scale structures in the logarithmic region and their subsequent influence on the near-wall cycle challenges many of the previously held assumptions regarding scaling of turbulent boundary layers at high Reynolds numbers. Experimental results are presented to illustrate the superimposition of large-scale energy onto the near-wall cycle, together with an emergent amplitude modulation effect. Both phenomena are shown to increase in magnitude (as compared to viscous-scaled events) as Reynolds number increases. These observations are used to formulate a predictive algebraic model capable of generating a near-wall velocity signal (with accurate energy spectra and statistics up to the 4th order) based on a given filtered velocity signal from the log region of a high Reynolds number turbulent flow.