Simplifying the complexity of pipe flow.

  title={Simplifying the complexity of pipe flow.},
  author={Dwight Barkley},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={84 1 Pt 2},
  • D. Barkley
  • Published 21 January 2011
  • Physics, Engineering
  • Physical review. E, Statistical, nonlinear, and soft matter physics
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… 

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Theoretical perspective on the route to turbulence in a pipe

  • D. Barkley
  • Physics, Engineering
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  • 2016
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Periodic solutions and chaos in the Barkley pipe model on a finite domain.

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Direct numerical simulation of transitional pipe flow is carried out in a long computational domain in order to characterize the dynamics within the saddle region of phase space that separates

Spatiotemporal perspective on the decay of turbulence in wall-bounded flows.

  • P. Manneville
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2009
By use of a reduced model focusing on the in-plane dependence of plane Couette flow, it is shown that the turbulent-->laminar relaxation process can be understood as a nucleation problem similar to

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Turbulence transition and the edge of chaos in pipe flow.

It is shown that superimposed on an overall 1/Re scaling predicted and studied previously there are small, nonmonotonic variations reflecting folds in the edge of chaos, formed by the stable manifold of a unique flow field that is dominated by a pair of downstream vortices, asymmetrically placed towards the wall.

Distinct large-scale turbulent-laminar states in transitional pipe flow

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Statistical analysis of the transition to turbulence in plane Couette flow

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Lifetime measurements of turbulence in pipe flow spanning 8 orders of magnitude in time are presented, showing that no critical point exists in this regime and that in contrast to the prevailing view the turbulent state remains transient.

On the transient nature of localized pipe flow turbulence

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

Sensitive dependence on initial conditions in transition to turbulence in pipe flow

The experiments by Darbyshire & Mullin (1995) on the transition to turbulence in pipe flow show that there is no sharp border between initial conditions that trigger turbulence and those that do not.

Decay of turbulence in pipe flow.

A novel experiment has been devised which provides direct evidence for critical point behavior in the longstanding problem of the transition to turbulence in a pipe by reducing the Reynolds number and observing the decay of disordered motion.