On the transient nature of localized pipe flow turbulence

Abstract : The onset of shear flow turbulence is characterized by turbulent patches bounded by regions of laminar flow. At low Reynolds numbers localized turbulence relaminarizes, raising the question of whether it is transient in nature or becomes sustained at a critical threshold. We present extensive numerical simulations and a detailed statistical analysis of the lifetime data, in order to shed light on the sources of the discrepancies present in the literature. The results are in excellent quantitative agreement with recent experiments and show that turbulent lifetimes increase super-exponentially with Reynolds number. In addition, we provide evidence for a lower bound below which there are no meta-stable characteristics of the transients, i.e. the relaminarization process is no longer memoryless. Copyright © Cambridge University Press 2010.
Complete list of metadatas

Cited literature [33 references]  Display  Hide  Download

https://hal-polytechnique.archives-ouvertes.fr/hal-01020672
Contributor : Denis Roura <>
Submitted on : Wednesday, July 9, 2014 - 10:48:04 AM
Last modification on : Wednesday, March 27, 2019 - 4:39:25 PM
Long-term archiving on : Thursday, October 9, 2014 - 10:47:04 AM

File

OTS0022112009993296a.pdf
Publisher files allowed on an open archive

Identifiers

Collections

Citation

M. Avila, Ashley Willis, B. Hof. On the transient nature of localized pipe flow turbulence. Journal of Fluid Mechanics, Cambridge University Press (CUP), 2010, 646 (march), pp.127-136. ⟨10.1017/s0022112009993296⟩. ⟨hal-01020672⟩

Share

Metrics

Record views

179

Files downloads

131