The distribution of " time of flight " in three dimensional stationary chaotic advection - Archive ouverte HAL Access content directly
Journal Articles Physics of Fluids Year : 2015

The distribution of " time of flight " in three dimensional stationary chaotic advection

Abstract

The distributions of " time of flight " (time spent by a single fluid particle between two crossings of the Poincaré section) are investigated for five different 3D stationary chaotic mixers. Above all, we study the large tails of those distributions, and show that mainly two types of behaviors are encountered. In the case of slipping walls, as expected, we obtain an exponential decay, which, however, does not scale with the Lyapunov exponent. Using a simple model, we suggest that this decay is related to the negative eigenvalues of the fixed points of the flow. When no-slip walls are considered, as predicted by the model, the behavior is radically different, with a very large tail following a power law with an exponent close to −3.
Fichier principal
Vignette du fichier
Raynal_Carriere_PoF2015.pdf (3.18 Mo) Télécharger le fichier
Origin : Publisher files allowed on an open archive
Loading...

Dates and versions

hal-01181341 , version 1 (30-07-2015)
hal-01181341 , version 2 (16-07-2016)

Identifiers

Cite

Florence Raynal, Philippe Carrière. The distribution of " time of flight " in three dimensional stationary chaotic advection. Physics of Fluids, 2015, 27, pp.043601. ⟨10.1063/1.4918750⟩. ⟨hal-01181341v2⟩
171 View
146 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More