caa a22 4500 606197648 CHVBK 20210128100930.0 cr unu---uuuuu 210128e20150701xx s 000 0 eng 10.1007/s00348-015-1994-7 doi (NATIONALLICENCE)springer-10.1007/s00348-015-1994-7 On the universality of inertial energy in the log layer of turbulent boundary layer and pipe flows [Elektronische Daten] [D. Chung, I. Marusic, J. Monty, M. Vallikivi, A. Smits] Recent experiments in high Reynolds number pipe flow have shown the apparent obfuscation of the $$k_x^{-1}$$ k x - 1 behaviour in spectra of streamwise velocity fluctuations (Rosenberg et al. in J Fluid Mech 731:46-63, 2013). These data are further analysed here from the perspective of the $$\log r$$ log r behaviour in second-order structure functions, which have been suggested as a more robust diagnostic to assess scaling behaviour. A detailed comparison between pipe flows and boundary layers at friction Reynolds numbers of $${{Re}}_\tau \approx$$ R e τ ≈ 5000-20,000 reveals subtle differences. In particular, the $$\log r$$ log r slope of the pipe flow structure function decreases with increasing wall distance, departing from the expected $$2A_1$$ 2 A 1 slope in a manner that is different to boundary layers. Here, $$A_1 \approx 1.25$$ A 1 ≈ 1.25 , the slope of the log law in the streamwise turbulence intensity profile at high Reynolds numbers. Nevertheless, the structure functions for both flows recover the $$2A_1$$ 2 A 1 slope in the log layer sufficiently close to the wall, provided the Reynolds number is also high enough to remain in the log layer. This universality is further confirmed in very high Reynolds number data from measurements in the neutrally stratified atmospheric surface layer. A simple model that accounts for the ‘crowding' effect near the pipe axis is proposed in order to interpret the aforementioned differences. Springer-Verlag Berlin Heidelberg, 2015 Chung D. Department of Mechanical Engineering, University of Melbourne, 3010, Parkville, VIC, Australia aut Marusic I. Department of Mechanical Engineering, University of Melbourne, 3010, Parkville, VIC, Australia aut Monty J. Department of Mechanical Engineering, University of Melbourne, 3010, Parkville, VIC, Australia aut Vallikivi M. Department of Mechanical and Aerospace Engineering, Princeton University, 08544, Princeton, NJ, USA aut Smits A. Department of Mechanical and Aerospace Engineering, Princeton University, 08544, Princeton, NJ, USA aut Experiments in Fluids Springer Berlin Heidelberg 56/7(2015-07-01), 1-10 0723-4864 56:7<1 2015 56 348 https://doi.org/10.1007/s00348-015-1994-7 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00348-015-1994-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Chung D. Department of Mechanical Engineering, University of Melbourne, 3010, Parkville, VIC, Australia aut NATIONALLICENCE 700 1- Marusic I. Department of Mechanical Engineering, University of Melbourne, 3010, Parkville, VIC, Australia aut NATIONALLICENCE 700 1- Monty J. Department of Mechanical Engineering, University of Melbourne, 3010, Parkville, VIC, Australia aut NATIONALLICENCE 700 1- Vallikivi M. Department of Mechanical and Aerospace Engineering, Princeton University, 08544, Princeton, NJ, USA aut NATIONALLICENCE 700 1- Smits A. Department of Mechanical and Aerospace Engineering, Princeton University, 08544, Princeton, NJ, USA aut NATIONALLICENCE 773 0- Experiments in Fluids Springer Berlin Heidelberg 56/7(2015-07-01), 1-10 0723-4864 56:7<1 2015 56 348