| Issue |
Europhys. Lett.
Volume 43, Number 2, July II 1998
|
|
|---|---|---|
| Page(s) | 171 - 176 | |
| Section | Classical areas of phenomenology | |
| DOI | https://doi.org/10.1209/epl/i1998-00336-3 | |
| Published online | 01 September 2002 | |
Discontinuous transition to spatiotemporal intermittency in plane Couette flow
1
Groupe Instabilités et Turbulence, CEA Saclay - SPEC.
F-91191 Gif-sur-Yvette, France
2
Laboratoire d'Hydrodynamique, École Polytechnique - F-91128 Palaiseau, France
Received:
5
March
1998
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 ![$R\in [R_{\rm u},R_{\rm c}]$](/articles/epl/abs/1998/14/43211/43211_tex_eq3.png)
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
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