Scaling laws and vanishing-viscosity limits for wall-bounded shear flows and for local structure in developed turbulence
✍ Scribed by G. I. Barenblatt; Alexandre J. Chorin
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 127 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0010-3640
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✦ Synopsis
Scaling laws for wall-bounded turbulence are derived and their properties are analyzed via vanishing-viscosity asymptotics; a comparison of the results with recent experiments shows that the observed scaling law differs significantly from the customary logarithmic law of the wall. The Izakson-Millikan-von Mises derivation of turbulence structure, properly interpreted, confirms this analysis. Analogous relations for the local structure of turbulence are given, including results on the scaling of the higher-order structure functions; these results suggest that there are no Reynolds-number-independent corrections to the Kolmogorov exponent and thus that the classical 1941 version of the Kolmogorov theory already gives the limiting behavior. The use of small-viscosity asymptotics is explained, and the consequences of the theory and of the experimental evidence for the Navier-Stokes equations and for the statistical theory of turbulence are discussed.