Simplifying the complexity of pipe flow
Barkley, Dwight. (2011) Simplifying the complexity of pipe flow. Physical Review E, Vol.84 (No.1). Article 016309 . ISSN 1063-651XFull text not available from this repository.
Official URL: http://dx.doi.org/10.1103/PhysRevE.84.016309
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|
|Official Date:||August 2011|
|Page Range:||Article 016309|
|Access rights to Published version:||Restricted or Subscription Access|
|Grant number:||2010-1119 (IDRIS)|
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