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


Author(s): Hof, Björn; de Lózar, Alberto; Kuik, Dirk J; Westerweel, Jerry
Article Title: Repeller or attractor? Selecting the dynamical model for the onset of turbulence in pipe flow
Affiliation
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.
Keywords: pipe flow; Reynolds number; Equations of state
Journal Title: Physical Review Letters
Volume: 101
Issue 21
ISSN: 1079-7114
Publisher: American Physical Society  
Date Published: 2008-11-18
Start Page: Article number: 214501
DOI: 10.1103/PhysRevLett.101.214501
Open access: no
IST Austria Authors
  1. Björn Hof
    46 Hof
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