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Defect of the five-thirds law using the Wiener-Hermite expansion

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Abstract

Application of the refined Wiener-Hermite expansion with moderate to high Reynolds numbers Re to homogeneous, isotropic turbulence is presented. The results show a defect to Kolmogorov's “five-thirds law,” increase in the absolute value of the exponent comparable with many theoretical predictions. Midrange spectra up to fluctuation Reynolds numbers of 108 show little, if any, dependence of the defect on Re, as long as the initial spectra do not deviate too far from their equilibrium states. The renormalization scheme has also been proven to have no effect on the final shape of the spectrum.

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Authors and Affiliations

  1. Mechanical, Aerospace and Nuclear Engineering Department, University of California, 90024, Los Angeles, California

    Tung -chen Chung & William C. Meecham

  2. Smith, Fause & Associates, 90230, Culver City, California

    Tung -chen Chung

Authors
  1. Tung -chen Chung
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  2. William C. Meecham
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Chung, T.c., Meecham, W.C. Defect of the five-thirds law using the Wiener-Hermite expansion. J Stat Phys 55, 1089–1107 (1989). https://doi.org/10.1007/BF01041080

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  • DOI: https://doi.org/10.1007/BF01041080

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