Barkley, Dwight. (2011) Simplifying the complexity of pipe flow. Physical Review E, Vol.84 (No.1). Article 016309 . ISSN 1063-651X

Full text not available from this repository.

Abstract

Transitional pipe flow is modeled as a one-dimensional excitable and bistable medium. Models are presented in two variables, turbulence intensity and mean shear, that evolve according to established properties of transitional turbulence. A continuous model captures the essence of the puff-slug transition as a change from excitability to bistability. A discrete model, which additionally incorporates turbulence locally as a chaotic repeller, reproduces almost all large-scale features of transitional pipe flow. In particular, it captures metastable localized puffs, puff splitting, slugs, localized edge states, a continuous transition to sustained turbulence via spatiotemporal intermittency (directed percolation), and a subsequent increase in turbulence fraction toward uniform, featureless turbulence.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics T Technology > TJ Mechanical engineering and machinery
Divisions:	Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Pipe -- Fluid dynamics -- Mathematical models, Turbulence -- Mathematical models
Journal or Publication Title:	Physical Review E
Publisher:	American Physical Society
ISSN:	1063-651X
Date:	August 2011
Volume:	Vol.84
Number:	No.1
Page Range:	Article 016309
Identification Number:	10.1103/PhysRevE.84.016309
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Funder:	IDRIS
Grant number:	2010-1119 (IDRIS)
URI:	http://wrap.warwick.ac.uk/id/eprint/38576

Data sourced from Thomson Reuters' Web of Knowledge

Request changes to a record

Actions (login required)

View Item