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
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  • 2016
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  • P. Manneville
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2009
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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.