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Abstract High-Reynolds-number data in turbulent boundary layers are analysed to examine statistical moments of streamwise velocity fluctuations u^. Prior work has shown that the variance of u^ exhibits logarithmic behaviour with distance to the surface, within an inertial sublayer. Here we extend these observations to even-order moments. We show that the 2p -order moments, raised to the power 1/ p, also follow logarithmic behaviour according to (u^{ +) ^2p } ^1/ p = B - A (z/), where u^ + is the velocity fluctuation normalized by the friction velocity, is an outer length scale and B are non-universal constants. The slopes A in the logarithmic region appear quite insensitive to Reynolds number, consistent with universal behaviour for wall-bounded flows. The slopes differ from predictions that assume Gaussian statistics, and instead are consistent with sub-Gaussian behaviour.
Meneveau et al. (Tue,) studied this question.