ISSN:
1573-1987
Keywords:
turbulence
;
scaling
;
universality
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
Notes:
Abstract It is well known that the Kolmogorov 1941 theory is based on global invariance, in the limit of Reynolds number tending to infinity. Experimentally, it is well verified only for very high Reynolds numbers, namelyR λ≥2000 (Monin and Yaglom 1975). We propose a new experimental representation for energy spectra. Using the Kolmogorov scales, a compilation of dimensionless spectra (E=ε (k)/(εv 5)1/4 andK=k(v 3/ε)1/4) shows that log(0.154E)/log(R λ/R*) is a universal function of log(5.42K)/log(R λ/R*) withR*=75. This new representation is not compatible with neither local nor global scaling invariance. The constant 5.42 takes into account the small scale intermittency. Similar results have been obtained for velocity structure functions of order 2, 3 and 6. In particular the wavenumber constant 5.42 is independent on the order of the moments.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01082521
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