One important way to characterize turbulent flow is by evaluating the Eulerian longitudinal velocity structure function. Deviations from the behavior predicted by the Kolmogorov theory are well-known because of the presence of intermittency in the energy transfer and this has lead to the fractal description of turbulent flows.
The Eulerian longitudinal structure function posses different scaling exponents depending on the turbulence range. Is there any advantage of plotting the structure functions against each other? What does such a plot can tell us more that using the traditional way of plotting them as a function of the scale itself?
The best way to learn about this is to read the original paper.
Extended self-similarity in turbulent flows
Authors
R Benzi, S Ciliberto, R Tripiccione, C Baudet, F Massaioli, S Succi
Publication date
1993
Journal name
Physical review. A
Volume
48
Issue
1
Pages
R29-R32
Publisher
American Physical Society
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