Critical behavior in the relaminarization of localized turbulence in pipe flow

AP Willis, RR Kerswell

Research output: Contribution to journalArticle (Academic Journal)peer-review

78 Citations (Scopus)

Abstract

The statistics of the relaminarization of localized turbulence in a pipe are examined by direct numerical simulation. As in recent experimental data [J. Peixinho and T. Mullin, Phys. Rev. Lett. 96, 094501 (2006)], the half-life for the decaying turbulence is consistent with the scaling (Re-c-Re)(-1), indicating a boundary crisis of the localized turbulent state familiar in low-dimensional dynamical systems. The crisis Reynolds number is estimated as Re-c=1870, a value within 7% of the experimental value 1750. We argue that the frequently asked question, of which initial disturbances at a given Re trigger sustained turbulence in a pipe, is really two separate questions: the "local phase space" question (local to the laminar state) of what threshold disturbance at a given Re is needed to initially trigger turbulence, followed by the "global phase space" question of whether Re exceeds Re-c at which point the turbulent state becomes an attractor.
Translated title of the contributionCritical behavior in the relaminarization of localized turbulence in pipe flow
Original languageEnglish
Pages (from-to)1 - 4
Number of pages4
JournalPhysical Review Letters
Volume98 (1, 014501)
DOIs
Publication statusPublished - Jan 2007

Bibliographical note

Publisher: American Physical Society

Fingerprint

Dive into the research topics of 'Critical behavior in the relaminarization of localized turbulence in pipe flow'. Together they form a unique fingerprint.

Cite this