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Physics of Fluids· 2026Q1

A universal relation between intermittency and dissipation within and beyond homogeneous isotropic turbulence

F. Schmitt, André Fuchs, Joachim Peinke, Martín Obligado

Short summary

A new empirical principle reveals that the intermittency parameter (μ) is inversely proportional to the dissipation parameter (Cε) across various turbulent flows, bridging large and small scales.

AI-generated from the title and abstract; the full text is not read.

Key points

  • Intermittency parameter (μ) is inversely proportional to dissipation parameter (Cε) in turbulent flows.
  • This relationship applies to both homogeneous isotropic and inhomogeneous turbulent flows.
  • The study analyzed hot-wire data from turbulent wakes, grid-generated turbulence, and axisymmetric jets.
  • The findings offer a new empirical principle connecting large and small scales of the energy cascade.

AI-generated from the title and abstract; the full text is not read.

Abstract

Fundamental quantities of turbulent flows, such as the dissipation parameter Cε and the intermittency parameter μ, are examined in relation to each other for a broad class of inhomogeneous turbulent flows. In the context of the energy cascade, it is known that Cε reflects its basic overall properties, while μ quantifies the intermittency of the cascade. Using an extensive hot-wire dataset of turbulent wakes, grid-generated turbulence, and an axisymmetric jet, we individually analyze these quantities as one-dimensional surrogates of the energy cascade, considering only data that exhibit consistent scaling behavior. We find that μ is inversely proportional to Cε, offering a new empirical principle that bridges the gap between large and small scales in arbitrary turbulent flows. The generalized framework presented here recovers the established values and trends reported for homogeneous isotropic turbulence and expands them to cover inhomogeneous situations.

The authors' abstract, as published at the source. Physics of Fluids, 2026 · DOI ↗

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Field: Computational Mechanics

Computational MechanicsEngineering