Does fully developed turbulence exist? Reynolds number independence versus asymptotic covariance

@inproceedings{Barenblatt1995DoesFD,
  title={Does fully developed turbulence exist? Reynolds number independence versus asymptotic covariance},
  author={G. I. Barenblatt and Nigel Goldenfeld},
  year={1995}
}
By analogy with recent arguments concerning the mean velocity profile of wall‐bounded turbulent shear flows, we suggest that there may exist corrections to the 2/3 law of Kolmogorov, which are proportional to (ln Re)−1 at large Re. Such corrections to K41 are the only ones permitted if one insists that the functional form of statistical averages at large Re be invariant under a natural redefinition of Re. The family of curves of the observed longitudinal structure function DLL(r,Re) for… CONTINUE READING

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