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Measurements of the Kolmogorov constant from laboratory and geophysical wind data

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  • Welter, Guilherme Sausen
  • Wittwer, Adrián Roberto
  • Degrazia, Gervásio Annes
  • Acevedo, Otávio Costa
  • de Moraes, Osvaldo Luiz Leal
  • Anfossi, Domenico

Abstract

Turbulent wind data measured in the atmospheric surface layer and wind tunnels are used to estimate the Kolmogorov constant Ck. The analysis discusses distinct procedures to obtain the mean energy dissipation rate and Ck. We find that for our datasets the most reliable method is the third-order structure function one. The value found for the skewness of longitudinal velocity differences is in accordance with a multifractal approach recently proposed. Despite the limitations of the data discussed in the paper, the results point to a value of Ck independent of the Reynolds number.

Suggested Citation

  • Welter, Guilherme Sausen & Wittwer, Adrián Roberto & Degrazia, Gervásio Annes & Acevedo, Otávio Costa & de Moraes, Osvaldo Luiz Leal & Anfossi, Domenico, 2009. "Measurements of the Kolmogorov constant from laboratory and geophysical wind data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(18), pages 3745-3751.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:18:p:3745-3751
    DOI: 10.1016/j.physa.2009.05.042
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    References listed on IDEAS

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    1. B. Lashermes & S. G. Roux & P. Abry & S. Jaffard, 2008. "Comprehensive multifractal analysis of turbulent velocity using the wavelet leaders," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 61(2), pages 201-215, January.
    2. J. Delour & J.F. Muzy & A. Arnéodo, 2001. "Intermittency of 1D velocity spatial profiles in turbulence: a magnitude cumulant analysis," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 23(2), pages 243-248, September.
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    Cited by:

    1. Puhales, Franciano Scremin & Demarco, Giuliano & Martins, Luis Gustavo Nogueira & Acevedo, Otávio Costa & Degrazia, Gervásio Annes & Welter, Guilherme Sausen & Costa, Felipe Denardin & Fisch, Gilberto, 2015. "Estimates of turbulent kinetic energy dissipation rate for a stratified flow in a wind tunnel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 431(C), pages 175-187.

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