Self-organization and fractal dynamics in turbulence

A. Bershadskii, E. Kit and A. Tsinober

Physica A: Statistical Mechanics and its Applications, 1993, vol. 199, issue 3, 453-475

Abstract: Results of analysis of the field of helicity, obtained in three different turbulent laboratory flows (grid-flow, boundary layer and jet) and a simple helical fracton model has been used in order to provide a quantitative explanation of anomalous turbulent diffusion in the troposphere and in the ocean. It is shown that Kolmogorov turbulence is critical in respect to the localization effects of subregions with large helicity (helical fractons) and it breaks up into helical fractons under the condition Df⩽2, where Df=2d/dw is the so called fracton dimension (D is the fractal dimension of the turbulent fractal and Dw is the dimension of random walks on this fractal). For strictly Kolmogorov turbulence D1=2. We study the internal structure of helical fractons and demonstrate that they are characterized by Df=43.

Date: 1993
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:199:y:1993:i:3:p:453-475

DOI: 10.1016/0378-4371(93)90061-8

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