---
_id: '824'
abstract:
- lang: eng
text: 'In shear flows at transitional Reynolds numbers, localized patches of turbulence,
known as puffs, coexist with the laminar flow. Recently, Avila et al. (Phys. Rev.
Lett., vol. 110, 2013, 224502) discovered two spatially localized relative periodic
solutions for pipe flow, which appeared in a saddle-node bifurcation at low Reynolds
number. Combining slicing methods for continuous symmetry reduction with Poincaré
sections for the first time in a shear flow setting, we compute and visualize
the unstable manifold of the lower-branch solution and show that it extends towards
the neighbourhood of the upper-branch solution. Surprisingly, this connection
even persists far above the bifurcation point and appears to mediate the first
stage of the puff generation: amplification of streamwise localized fluctuations.
When the state-space trajectories on the unstable manifold reach the vicinity
of the upper branch, corresponding fluctuations expand in space and eventually
take the usual shape of a puff.'
article_number: R1
article_processing_charge: No
author:
- first_name: Nazmi B
full_name: Budanur, Nazmi B
id: 3EA1010E-F248-11E8-B48F-1D18A9856A87
last_name: Budanur
orcid: 0000-0003-0423-5010
- first_name: Björn
full_name: Hof, Björn
id: 3A374330-F248-11E8-B48F-1D18A9856A87
last_name: Hof
orcid: 0000-0003-2057-2754
citation:
ama: Budanur NB, Hof B. Heteroclinic path to spatially localized chaos in pipe flow.
Journal of Fluid Mechanics. 2017;827. doi:10.1017/jfm.2017.516
apa: Budanur, N. B., & Hof, B. (2017). Heteroclinic path to spatially localized
chaos in pipe flow. Journal of Fluid Mechanics. Cambridge University Press.
https://doi.org/10.1017/jfm.2017.516
chicago: Budanur, Nazmi B, and Björn Hof. “Heteroclinic Path to Spatially Localized
Chaos in Pipe Flow.” Journal of Fluid Mechanics. Cambridge University Press,
2017. https://doi.org/10.1017/jfm.2017.516.
ieee: N. B. Budanur and B. Hof, “Heteroclinic path to spatially localized chaos
in pipe flow,” Journal of Fluid Mechanics, vol. 827. Cambridge University
Press, 2017.
ista: Budanur NB, Hof B. 2017. Heteroclinic path to spatially localized chaos in
pipe flow. Journal of Fluid Mechanics. 827, R1.
mla: Budanur, Nazmi B., and Björn Hof. “Heteroclinic Path to Spatially Localized
Chaos in Pipe Flow.” Journal of Fluid Mechanics, vol. 827, R1, Cambridge
University Press, 2017, doi:10.1017/jfm.2017.516.
short: N.B. Budanur, B. Hof, Journal of Fluid Mechanics 827 (2017).
date_created: 2018-12-11T11:48:42Z
date_published: 2017-08-18T00:00:00Z
date_updated: 2023-09-26T16:17:43Z
day: '18'
department:
- _id: BjHo
doi: 10.1017/jfm.2017.516
external_id:
isi:
- '000408326300001'
intvolume: ' 827'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1703.10484
month: '08'
oa: 1
oa_version: Submitted Version
publication: Journal of Fluid Mechanics
publication_identifier:
issn:
- '00221120'
publication_status: published
publisher: Cambridge University Press
publist_id: '6824'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Heteroclinic path to spatially localized chaos in pipe flow
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 827
year: '2017'
...