Reynolds number dependence of skewness and flatness factors of turbulent velocity derivatives

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Abstract
The influence of fluctuations in the rate of local turbulent energy dissipation on higher‐order structure functions for small separation distances r and on moments of turbulent velocity derivatives is examined using the hypotheses of Kolmogoroff and Obukhov for the probability density and variance of the dissipation fluctuations. The predicted variation of the skewness and flatness factors with Rλ represents the available experimental data fairly well over a relatively wide range of Rλ when the constant μ introduced in the variance hypothesis is suitably chosen. The predicted variation of S with K fits the data very well. The present analysis breaks down for moments of sufficiently high order probably due to basic shortcomings of the hypotheses.

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