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Reynolds number required to accurately discriminate between proposed trends of skin friction and normal stress in wall turbulence

2023/12/02 by Hassan Nagib, Nagib, Hassan, Peter A. Monkewitz +3
Engineering · Environmental Science · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Particle Dynamics in Fluid Flows #Wind and Air Flow Studies

paper · pdf · doi:10.48550/arxiv.2312.01184

openalex publication_date 2023/12/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In Nagib, Chauhan and Monkewitz~\citeNCM07 we concluded that nearly all available Cf relations for zero-pressure-gradient boundary layers are in remarkable agreement over the entire range Reθ < O(108), provided one coefficient is adjusted in each relation by anchoring it to accurate measurements. Regarding the peak of the streamwise turbulence intensity +P, we conclude here that accurate measurements in flows with Reτ > O(106) are required, especially when looking only at the peak +P to discriminate between recently proposed trends. We also find remarkable agreement between the three analyses of Monkewitz \citeM22, Chen and Sreenivasan \citeCS22 and Monkewitz and Nagib \citeMN15, with some coefficients slightly modified, by underpinning them with the same accurate measurements of +P from reliable channel and boundary layer data. All the three analyses conclude that the inner peak of + remains finite in the limit of infinite Reynolds number, which is at variance with the unlimited growth of +P as lnRe τ predicted by the attached eddy model \citeMM19. Accurate measurements of high-order moments and the guidance of consistent asymptotic expansions may help clarify the issue at lower Reτ values.

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