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Statistical properties of a turbulent cascade

✍ Scribed by R. Friedrich; J. Peinke

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
445 KB
Volume
102
Category
Article
ISSN
0167-2789

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✦ Synopsis

Statistical properties of a turbulent cascade are evaluated by considering the joint probability distribution p (v[, L i; v2, L2) for two velocity increments Vl, v2 of different length scales Ll, L2. We present experimental evidence that the conditional probability distribution p(v2, L21vl, L l) obeys a Chapman-Kolmogorov equation. We evaluate the Kramers-Moyal coefficients and show evidence that higher-order coefficients vanish except for the drift and diffusion coefficient. As a result the joint probability distributions obeys a Fokker-Planck equation. We calculate drift and diffusion coefficients and discuss their relationship to universal behaviour in the scaling region and to intermittency of the turbulent cascade.

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