Abstract

We have characterized a transition of turbulence intensity (TI) scaling for friction Reynolds numbers Reτ∼104 in the companion papers [Basse, “Scaling of global properties of fluctuating and mean streamwise velocities in pipe flow: Characterization of a high Reynolds number transition region,” Phys. Fluids 33, 065127 (2021); Basse, “Scaling of global properties of fluctuating streamwise velocities in pipe flow: Impact of the viscous term,” Phys. Fluids 33, 125109 (2021)]. Here, we build on those results to extrapolate TI scaling for Reτ≫105 under the assumption that no further transitions exist. Scaling of the core, area-averaged and global peak TI demonstrates that they all scale inversely with the logarithm of Reτ, but with different multipliers. Finally, we confirm the prediction that the TI squared is proportional to the friction factor for Reτ≫105.

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