Extrapolation of turbulence intensity scaling to Reτ >>105

We have characterized a transition of turbulence intensity (TI) scaling for friction Reynolds numbers Re-tau similar to 10(4) 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 Re-tau >> 10(5) 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 Re-tau, but with different multipliers. Finally, we confirm the prediction that the TI squared is proportional to the friction factor for Re-tau >> 10(5). Published under an exclusive license by AIP Publishing.