Normalized kinetic energy as a hydrodynamical global quantity for inhomogeneous anisotropic turbulence - ENSTA Paris - École nationale supérieure de techniques avancées Paris Access content directly
Journal Articles Physics of Fluids Year : 2009

Normalized kinetic energy as a hydrodynamical global quantity for inhomogeneous anisotropic turbulence

Abstract

We introduce a hydrodynamical global quantity that characterizes turbulent fluctuations in inhomogeneous anisotropic flows. This time dependent quantity is constructed as the ratio of the instantaneous kinetic energy of the flow to the kinetic energy of the time-averaged flow. Such a normalization based on the dynamics of the flow makes this quantity comparable from one turbulent flow to any other. We show that t provides a useful quantitative characterization of any turbulent flow through generally only two parameters, its time average ¯ and its variance 2. These two quantities present topological and thermodynamical properties since they are connected, respectively, to the distance between the instantaneous and the time-averaged flow and to the number of degrees of freedom of the flow. Properties of ¯ and 2 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.
Fichier principal
Vignette du fichier
pof_delta.pdf (609.71 Ko) Télécharger le fichier
Origin : Publisher files allowed on an open archive
Loading...

Dates and versions

hal-01847323 , version 1 (23-07-2018)

Identifiers

Cite

Pierre-Philippe Cortet, Pantxo Diribarne, Romain Monchaux, Arnaud Chiffaudel, François Daviaud, et al.. Normalized kinetic energy as a hydrodynamical global quantity for inhomogeneous anisotropic turbulence. Physics of Fluids, 2009, 21 (2), pp.025104. ⟨10.1063/1.3073745⟩. ⟨hal-01847323⟩
120 View
182 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More