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Measuring nonextensitivity parameters in a turbulent Couette-Taylor flow.

C Beck1, G S Lewis, H L Swinney

  • 1School of Mathematical Sciences, Queen Mary and Westfield College, University of London, Mile End Road, London E1 4NS, United Kingdom.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 20, 2001
PubMed
Summary

We studied velocity differences in Couette-Taylor flow, finding good agreement with nonextensive statistical mechanics. This research extracts the scale-dependent nonextensitivity parameter from laboratory data.

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Area of Science:

  • Fluid dynamics
  • Statistical mechanics

Background:

  • Turbulent flows exhibit complex dynamics.
  • Nonextensive statistical mechanics offers a framework for systems with long-range correlations.

Purpose of the Study:

  • Investigate probability density functions (PDFs) of velocity differences in Couette-Taylor flow.
  • Compare experimental data with theoretical predictions from nonextensive statistical mechanics.
  • Determine the scale-dependent nonextensitivity parameter.

Main Methods:

  • Experimental measurements of velocity differences in a Couette-Taylor flow.
  • Analysis of PDFs at various distances (r) and Reynolds numbers (Re).
  • Application of a theoretical model based on nonextensive statistical mechanics.

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Main Results:

  • Observed good agreement between experimental PDFs and the theoretical model.
  • Successfully extracted the scale-dependent nonextensitivity parameter q(r,Re).

Conclusions:

  • The findings support the applicability of nonextensive statistical mechanics to turbulent flows.
  • The extracted parameter q(r,Re) quantifies deviations from standard statistical mechanics in this flow regime.