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- W2020039929 abstract "The Kolmogorov equation, which relates the second-order structure function Dll(r) and the third-ordrer structure function Dlll(r), may be presented as a closed linear integrodifferential equation for the probability distribution function W(U,r) of longitudinal velocity difference U. In general, without any restrictions, the function of two variables W(U,r) may be presented as [Dll(r)]−1∕2F(U∕Dll(r),r). As a first approximation, we neglect dependence of F on the second argument r. In this approximation (self-similarity of the probability density function), the integrodifferential equation for W reduces to the ordinary nonlinear differential equation for Dll(r). It follows from this equation that for r→∞ the function Dll(r)∼r2∕3. This consideration does not use the 1941 Kolmogorov hypothesis that is based on dimension analysis. Any deviations from the 2∕3 law, including intermittency effects, must be related to the violation of the above-mentioned self-similarity of W, i.e., with the additional dependence of F on the second argument r. On the basis of experimental data, we suggest a simple model of W, which allows us to describe deviations from the 2∕3 law, caused by intermittency, and describe the local exponents κ in the structure functions ⟨∣U(r)∣ρ⟩∼rκ(ρ) for moderate ρ. The so called “bottleneck effect” also can be described by 4∕5 Kolmogorov equation." @default.
- W2020039929 created "2016-06-24" @default.
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- W2020039929 date "2005-02-16" @default.
- W2020039929 modified "2023-10-17" @default.
- W2020039929 title "Use of the 4∕5 Kolmogorov equation for describing some characteristics of fully developed turbulence" @default.
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- W2020039929 doi "https://doi.org/10.1063/1.1858531" @default.
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