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Scaling laws for fully developed turbulent shear flows. Part 2. Processing of experimental data

Published online by Cambridge University Press:  26 April 2006

G. I. Barenblatt  and
V. M. Prostokishin
G. I. Barenblatt
Affiliation:
P. P. Shirshov Institute of Oceanology, Russian Academy of Sciences, Moscow, 117218, Russia Present address: Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, UK.
V. M. Prostokishin
Affiliation:
P. P. Shirshov Institute of Oceanology, Russian Academy of Sciences, Moscow, 117218, Russia
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Abstract

In Part 1 of this work (Barenblatt 1993) a non-universal scaling law (depending on the Reynolds number) for the mean velocity distribution in fully developed turbulent shear flow was proposed, together with the corresponding skin friction law. The universal logarithmic law was also discussed and it was shown that it can be understood, in fact, as an asymptotic branch of the envelope of the curves corresponding to the scaling law.

Here in Part 2 the comparisons with experimental data are presented in detail. The whole set of classic Nikuradze (1932) data, concerning both velocity distribution and skin friction, was chosen for comparison. The instructive coincidence of predictions with experimental data suggests the conclusion that the influence of molecular viscosity within the main body of fully developed turbulent shear flows remains essential, even at very large Reynolds numbers. Meanwhile, some incompleteness of the experimental data presented in the work of Nikuradze (1932) is noticed, namely the lack of data in the range of parameters where the difference between scaling law and universal logarithmic law predictions should be the largest.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 248 , March 1993 , pp. 521 - 529
Copyright
© 1993 Cambridge University Press

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References

Barenblatt, G. I. 1979 Similarity, Self-Similarity, and Intermediate Asymptotics. Plenum.
Barenblatt, G. I. 1993 Scaling laws for fully developed turbulent shear flows. Part 1. Basic hypotheses and analysis. J. Fluid Mech. 248, 513– 520.Google Scholar
Monin, A. S. & Yaglom, A. M. 1971 Statistical Fluid Mechanics, Vol. 1. MIT Press.
Nikuradze, J. 1932 Gesetzmässigkeiten der turbulenten Strömung in glatten Röhren. VDI Forschungscheft, No. 356.