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Eighth International Symposium on Turbulence and Shear Flow Phenomena
August, 28-30, 2013, Poitiers, Futuroscope, France

DOI: 10.1615/TSFP8

COMPARATIVE ANALYSIS OF RELATIONSHIP BETWEEN INSTANTANEOUS AND STATISTICAL PROPERTIES OF THE DETERMINISTIC TURBULENCE

pages 1-6
DOI: 10.1615/TSFP8.840
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SINOPSIS

As known from previous studies (Borodulin et al., 2007, 2011) the deterministic turbulence represents a post-transitional wall-shear flow that is turbulent according to the generally accepted statistical characteristics but possesses, meanwhile, a significant degree of determinism, i.e. reproducibility of its instantaneous structure. It is found that the deterministic turbulence can occur in those cases when transition is caused by convective-type instabilities.
However, there was a question remaining: "Whether the deterministic turbulence corresponds exactly to the ordinary random turbulent flow or not?" If the answer is affirmative, the stochastic properties of such turbulence (such as mean-velocity profiles, disturbance amplitude profiles, spectra of turbulent fluctuations, etc.) must be: (i) independent of particular realization of the deterministic turbulent flow and (ii) identical to those of the ordinary (stochastic) turbulence. The present study concentrates on investigation of the answer to point (i) indicated above.

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