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Characterization of turbulence in inhomogeneous anisotropic flows

2008/05/20 by Pierre-Philippe Cortet, Cortet, Pierre-Philippe, Pantxo Diribarne +9
Biochemistry, Genetics and Molecular Biology · Engineering · Environmental Science · Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Geomagnetism and Paleomagnetism Studies #Wind and Air Flow Studies #physics.flu-dyn

paper · pdf · doi:10.48550/arxiv.0805.3092

arxiv created 2008/05/20 · openalex publication_date 2008/05/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce a global quantity δ that characterizes turbulent fluctuations in inhomogeneous anisotropic flows. This time-dependent quantity is based on spatial averages of global velocity fields rather than classical temporal averages of local velocities. δ(t) provides a useful quantitative characterization of any turbulent flow through generally only two parameters, its time average δ and its variance δ2. Properties of δ and δ2 are experimentally studied in the typical case of the von Kármán flow and used to characterize the scale by scale energy budget as a function of the forcing mode as well as the transition between two flow topologies.

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