Asymptotic dissipation rate in turbulence

Siegfried Grossmann
Phys. Rev. E 51, 6275 – Published 1 June 1995
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Abstract

Intermittency corrections δζ to the scaling behavior of the structure function in the inertial range imply an asymptotic decrease (∝Reκ) of the dissipation rate divided by the energy input rate as a function of the Reynolds number with κ∝δζ. Data analysis favors κ=0. It is the classical exponent ζ=2/3 that guarantees an asymptotically Re-independent dissipation-input ratio. Alternatively, intermittency may imply a nonuniversal viscous-inertial crossover in the structure function together with a Re-dependent amplitude b(Re), scaling with a small, negative exponent, as measured recently.

  • Received 8 August 1994

DOI:https://doi.org/10.1103/PhysRevE.51.6275

©1995 American Physical Society

Authors & Affiliations

Siegfried Grossmann

  • Fachbereich Physik, Philipps-Universität, Renthof 6, D-35032 Marburg, Germany

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Vol. 51, Iss. 6 — June 1995

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