Discontinuous transition to spatiotemporal intermittency in plane Couette flow
Groupe Instabilités et Turbulence, CEA Saclay - SPEC.
F-91191 Gif-sur-Yvette, France
2 Laboratoire d'Hydrodynamique, École Polytechnique - F-91128 Palaiseau, France
Accepted: 28 May 1998
The plane Couette flow undergoes a globally sub-critical transition to turbulence. Turbulent spots generated by localized finite-amplitude perturbations evolve differently depending on the Reynolds number R. Below they decay rapidly; above a fraction of spots turns to sustained turbulent patches and an average turbulent fraction can be defined, that slowly increases with R. Lifetime histograms of patches quenched in the range display a well-defined exponentially decreasing tail. This behavior is reminiscent of the discontinuous transition to spatiotemporal chaos via spatiotemporal intermittency observed in certain two-dimensional lattices of coupled map.
PACS: 47.27.Cn – Transition to turbulence / 47.20.Ky – Nonlinearity (including bifurcation theory)
© EDP Sciences, 1998