Simplifying the complexity of pipe flow

Details Simplifying the complexity of pipe flow Simplifying the complexity of pipe flow

2011-01-21

arxiv.org/abs/1101.4125v3

Phys. Rev. E 84, 016309 (2011)

Physics

Fluid Dynamics

8 pages, 12 figures

Scientific paper

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, that 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, a continuous transition to sustained turbulence via spatiotemporal intermittency (directed percolation), and a subsequent increase in turbulence fraction towards uniform, featureless turbulence.

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