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The non-equilibrium part of the inertial range in decaying homogeneous turbulence

Abstract : We use two related non-stationarity functions as measures of the degree of scale-by-scale non-equilibrium in homogeneous isotropic turbulence. The values of these functions indicate significant non-equilibrium at the upper end of the inertial range. Wind tunnel data confirm Lundgren's prediction that the two-point separation r where the second- and third-order structure functions are closest to their Kolmogorov scalings is proportional to the Taylor length-scale λ, and that both structure functions increasingly distance themselves from their Kolmogorov equilibrium form as r increases away from λ throughout the inertial range. With the upper end of the inertial range in non-equilibrium irrespective of Reynolds number, it is not possible to justify the Taylor-Kolmogorov turbulence dissipation scaling on the basis of Kolmogorov equilibrium.
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https://hal-centralesupelec.archives-ouvertes.fr/hal-02366408
Contributor : Martin Obligado <>
Submitted on : Friday, November 15, 2019 - 8:11:21 PM
Last modification on : Tuesday, November 24, 2020 - 2:18:06 PM

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Martin Obligado, John Christos Vassilicos. The non-equilibrium part of the inertial range in decaying homogeneous turbulence. EPL - Europhysics Letters, European Physical Society/EDP Sciences/Società Italiana di Fisica/IOP Publishing, 2019, 127 (6), pp.64004. ⟨10.1209/0295-5075/127/64004⟩. ⟨hal-02366408⟩

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