Repeller or attractor? Selecting the dynamical model for the onset of turbulence in pipe flow

B. Hof, A. De Lózar, D. Kuik, J. Westerweel, Physical Review Letters 101 (2008).

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Abstract
The collapse of turbulence, observable in shear flows at low Reynolds numbers, raises the question if turbulence is generically of a transient nature or becomes sustained at some critical point. Recent data have led to conflicting views with the majority of studies supporting the model of turbulence turning into an attracting state. Here we present lifetime measurements of turbulence in pipe flow spanning 8 orders of magnitude in time, drastically extending all previous investigations. We show that no critical point exists in this regime and that in contrast to the prevailing view the turbulent state remains transient. To our knowledge this is the first observation of superexponential transients in turbulence, confirming a conjecture derived from low-dimensional systems.
Publishing Year
Date Published
2008-11-18
Journal Title
Physical Review Letters
Volume
101
Issue
21
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Hof B, De Lózar A, Kuik D, Westerweel J. Repeller or attractor? Selecting the dynamical model for the onset of turbulence in pipe flow. Physical Review Letters. 2008;101(21). doi:10.1103/PhysRevLett.101.214501
Hof, B., De Lózar, A., Kuik, D., & Westerweel, J. (2008). Repeller or attractor? Selecting the dynamical model for the onset of turbulence in pipe flow. Physical Review Letters, 101(21). https://doi.org/10.1103/PhysRevLett.101.214501
Hof, Björn, Alberto De Lózar, Dirk Kuik, and Jerry Westerweel. “Repeller or Attractor? Selecting the Dynamical Model for the Onset of Turbulence in Pipe Flow.” Physical Review Letters 101, no. 21 (2008). https://doi.org/10.1103/PhysRevLett.101.214501.
B. Hof, A. De Lózar, D. Kuik, and J. Westerweel, “Repeller or attractor? Selecting the dynamical model for the onset of turbulence in pipe flow,” Physical Review Letters, vol. 101, no. 21, 2008.
Hof B, De Lózar A, Kuik D, Westerweel J. 2008. Repeller or attractor? Selecting the dynamical model for the onset of turbulence in pipe flow. Physical Review Letters. 101(21).
Hof, Björn, et al. “Repeller or Attractor? Selecting the Dynamical Model for the Onset of Turbulence in Pipe Flow.” Physical Review Letters, vol. 101, no. 21, American Physical Society, 2008, doi:10.1103/PhysRevLett.101.214501.

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