---
res:
bibo_abstract:
- Generally, the motion of fluids is smooth and laminar at low speeds but becomes
highly disordered and turbulent as the velocity increases. The transition from
laminar to turbulent flow can involve a sequence of instabilities in which the
system realizes progressively more complicated states, or it can occur suddenly.
Once the transition has taken place, it is generally assumed that, under steady
conditions, the turbulent state will persist indefinitely. The flow of a fluid
down a straight pipe provides a ubiquitous example of a shear flow undergoing
a sudden transition from laminar to turbulent motion. Extensive calculations and
experimental studies have shown that, at relatively low flow rates, turbulence
in pipes is transient, and is characterized by an exponential distribution of
lifetimes. They also suggest that for Reynolds numbers exceeding a critical value
the lifetime diverges (that is, becomes infinitely large), marking a change from
transient to persistent turbulence. Here we present experimental data and numerical
calculations covering more than two decades of lifetimes, showing that the lifetime
does not in fact diverge but rather increases exponentially with the Reynolds
number. This implies that turbulence in pipes is only a transient event (contrary
to the commonly accepted view), and that the turbulent and laminar states remain
dynamically connected, suggesting avenues for turbulence control.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Björn
foaf_name: Björn Hof
foaf_surname: Hof
foaf_workInfoHomepage: http://www.librecat.org/personId=3A374330-F248-11E8-B48F-1D18A9856A87
orcid: 0000-0003-2057-2754
- foaf_Person:
foaf_givenName: Jerry
foaf_name: Westerweel, Jerry
foaf_surname: Westerweel
- foaf_Person:
foaf_givenName: Tobias
foaf_name: Schneider, Tobias M
foaf_surname: Schneider
- foaf_Person:
foaf_givenName: Bruno
foaf_name: Eckhardt, Bruno
foaf_surname: Eckhardt
bibo_doi: 10.1038/nature05089
bibo_issue: '7107'
bibo_volume: 443
dct_date: 2006^xs_gYear
dct_publisher: Nature Publishing Group@
dct_title: Finite lifetime of turbulence in shear flows@
...