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Pré-Publication, Document De Travail Année : 2007

Effective temperature of a stationary dissipative system : fully-developped turbulence

Vincent Grenard
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  • PersonId : 839145
Nicolas Garnier
Antoine Naert
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  • PersonId : 839146

Résumé

We measure an effective temperature $T_{\rm eff.}$ in a turbulent flow, where $T_{\rm eff}$ is defined according to Cugliandolo \emph{et al.}, using a Fluctuation-Dissipation Relation (FDR). Although the hypothesis underlying the fluctuation-dissipation theorem does not strictly hold, we present experimental evidence that meaningful quantities can be extracted. $T_{\rm eff}$ is measured in a large Reynolds number turbulent air jet flow ($74000 \leq Re \leq 170000$), using the spectral fluctuations and response of a simple vibrating string. The wave-number spectra all collapse on a single master curve for all Reynolds numbers. This spectrum is in agreement with a very simple model derived from Kolmogorov's $1941$ theory, predicting a $k^{-11/3}$ scaling.
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Dates et versions

ensl-00139546 , version 1 (02-04-2007)
ensl-00139546 , version 2 (19-06-2008)
ensl-00139546 , version 3 (01-08-2008)

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Vincent Grenard, Nicolas Garnier, Antoine Naert. Effective temperature of a stationary dissipative system : fully-developped turbulence. 2007. ⟨ensl-00139546v1⟩
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