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Measurements of the Kolmogorov constant from laboratory and geophysical wind data
Authors:Guilherme Sausen Welter  Adrián Roberto Wittwer  Otávio Costa Acevedo  Domenico Anfossi
Institution:a Departamento de Física, Universidade Federal de Santa Maria, Santa Maria, RS, Brazil
b Universidad Nacional del Nordeste, Resistencia, Argentina
c CNR- Instituto di Cosmogeofisica, Torino, Italy
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.
Keywords:Fully developed turbulence  Structure functions  Kolmogorov constant
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