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Janssen-Grassberger
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The Route to Turbulence by Dwight Barkley
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- 1 DATE: Thu, 20 February 2020, 14:30 to
- 2 The Route to Turbulence
- 3 Critical Reynolds numbers for onset of turbulence in a pipe
- 4 Observations by Reynolds 1883
- 5 Wall-Bounded Shear Flows
- 6 Finite-amplitude instability
- 7 Subcritical Transition Scenario
- 8 Subcritical Shear Flows
- 9 Intermittent Turbulence
- 10 Overview
- 11 Is turbulence in a pipe sustained at Re=1900
- 12 Statistical Phase Transitions
- 13 Tutorial on absorbing state transitionsDirected Percolation
- 14 Janssen-Grassberger
- 15 turbulence = disease
- 16 Wait a while
- 17 Turbulence Survival Lifetimes
- 18 Puffs can split Disease can spread
- 19 Splitting lifetimes
- 20 Laminar Flow and Turbulence
- 21 Generic behavior
- 22 Do any actual shear flows behave this way?
- 23 Can we do more?
- 24 Rc Turbulence fraction increases as R increases from Rc
- 25 Characteristic temporal scale: Characteristic spatial scale: $1
- 26 Critical scaling exponents
- 27 Puffs can split
- 28 Directed percolation phase transition to sustained turbulence in Collette flow
- 29 Universal continuous transition to turbulence in a planar shear flow
- 30 Why is there intermittenty?
- 31 Mechanism for localization Slug
- 32 Puff formation in long pipe
- 33 Puff and Slug
- 34 Excitable and Bistable
- 35 Transition scenario is captured by transition from Excitability to Bistability, together with fluctuations on the upper excited branch.
- 36 Brings tremendous clarity to transition in subcritical shear flows
- 37 This must be the "right way"
- 38 Intermittent vs Fully Turbulent
- 39 Q&A
