Measurements of the Kolmogorov constant and intermittency exponent at very high Reynolds numbers

  • Alexander Praskovsky
    Atmospheric Technology Division, National Center for Atmospheric Research, Boulder, Colorado 80307-3000
  • Steven Oncley
    Atmospheric Technology Division, National Center for Atmospheric Research, Boulder, Colorado 80307-3000

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<jats:p>Characteristics of turbulence in the inertial range are experimentally studied in the atmospheric surface layer over the range of the Taylor microscale based Reynolds number Rλ≊(2.8–12.7)×103 and in a large wind tunnel (in a mixing layer at Rλ≊2.0×103 and a return channel at Rλ≊3.2×103). The intermittency exponent μ, estimated from the correlation function of energy dissipation Rεε(r)=〈ε(x)ε(x+r)〉∝r−μ, is found to be independent of Reynolds number and approximately equal to 0.20. No ‘‘measurable’’ deviation from the −5/3 exponent in the ‘‘five-thirds’’ law is found. On the other hand, the Kolmogorov constant C in this law is found to be weakly dependent on Rλ. This dependence is well described by the power law C∝R−μ/2λ≊R−0.10λ at μ≊0.20.</jats:p>

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