TY - JOUR
T1 - Non-Kolmogorov scaling exponents and the geometry of high Reynolds number turbulence
AU - Procaccia, Itamar
AU - Constantin, Peter
PY - 1993
Y1 - 1993
N2 - Scaling behavior in turbulence is studied on the basis of its relation to the wrinkling, or fractalization, of the graph of the velocity field in 3+3 dimensions. We propose a novel mechanism for deviations from the Kolmogorov exponents, which is realized if the fine structure of turbulence tends locally towards two dimensionality. It is argued that some of the popular fractal and multifractal models of intermittency in turbulence are not consistent with fluid mechanics, and miss some essential physics.
AB - Scaling behavior in turbulence is studied on the basis of its relation to the wrinkling, or fractalization, of the graph of the velocity field in 3+3 dimensions. We propose a novel mechanism for deviations from the Kolmogorov exponents, which is realized if the fine structure of turbulence tends locally towards two dimensionality. It is argued that some of the popular fractal and multifractal models of intermittency in turbulence are not consistent with fluid mechanics, and miss some essential physics.
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U2 - 10.1103/PhysRevLett.70.3416
DO - 10.1103/PhysRevLett.70.3416
M3 - Article
C2 - 10053863
AN - SCOPUS:4244091162
SN - 0031-9007
VL - 70
SP - 3416
EP - 3419
JO - Physical Review Letters
JF - Physical Review Letters
IS - 22
ER -