Journal article
Extended self-similarity in moment-generating-functions in wall-bounded turbulence at high Reynolds number
XIA Yang, C Meneveau, I Marusic, L Biferale
Physical Review Fluids | American Physical Society | Published : 2016
Abstract
In wall-bounded turbulence, the moment generating functions (MGFs) of the streamwise velocity fluctuations exp(quz+) develop power-law scaling as a function of the wall normal distance z/δ. Here u is the streamwise velocity fluctuation, + indicates normalization in wall units (averaged friction velocity), z is the distance from the wall, q is an independent variable, and δ is the boundary layer thickness. Previous work has shown that this power-law scaling exists in the log-region 3Reτ0.5z+,z0.15δ where Reτ is the friction velocity-based Reynolds number. Here we present empirical evidence that this self-similar scaling can be extended, including bulk and viscosity-affected regions 30
Grants
Awarded by Australian Research Council
Funding Acknowledgements
The research leading to these results has received funding from the Office of Naval Research, the US National Science Foundation, the Australian Research Council, and the European Union's Seventh Framework Programme (FP7/2007-2013) under the ERC grant agreement No. 339032. L.B. acknowledges useful discussions with R. Benzi and the kind hospitality of the Department of Mechanical Engineering at the Johns Hopkins University.