Generalized logarithmic law for high-order moments in turbulent boundary layers

By Charles Meneveau, Ivan Marusic. Journal of Fluid Mechanics, 2013

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Evolution of zero-pressure-gradient boundary layers from different tripping conditions (2015, background): “These results are shown in figure 11 in the form of the skewness Su= u3/(u2)3/2, and (u8)1/4 following the work of Meneveau & Marusic (2013), who showed that even moments represented in this way have a logarithmic behaviour with distance from the wall in the log-region of fully developed ZPG flows,…”
Turbulent boundary layer statistics at very high Reynolds number (2015, methodology): “Meneveau & Marusic (2013) used this hypothesis to show that if the summands are assumed to be statistically independent (as in the case of non-interacting eddies), the pth root of moments of velocity fluctuations is expected to behave according to 〈(u+)2p〉1/p = Bp − Ap ln y δ , (1.3) where Ap and…”