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DATE: Thu, 20 February 2020, 14:30 to
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The Route to Turbulence
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Critical Reynolds numbers for onset of turbulence in a pipe
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Observations by Reynolds 1883
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Wall-Bounded Shear Flows
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Finite-amplitude instability
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Subcritical Transition Scenario
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Subcritical Shear Flows
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Intermittent Turbulence
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Overview
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Is turbulence in a pipe sustained at Re=1900
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Statistical Phase Transitions
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Tutorial on absorbing state transitionsDirected Percolation
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Janssen-Grassberger
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turbulence = disease
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Wait a while
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Turbulence Survival Lifetimes
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Puffs can split Disease can spread
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Splitting lifetimes
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Laminar Flow and Turbulence
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Generic behavior
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Do any actual shear flows behave this way?
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Can we do more?
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Rc Turbulence fraction increases as R increases from Rc
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Characteristic temporal scale: Characteristic spatial scale: $1
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Critical scaling exponents
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Puffs can split
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Directed percolation phase transition to sustained turbulence in Collette flow
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Universal continuous transition to turbulence in a planar shear flow
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Why is there intermittenty?
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Mechanism for localization Slug
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Puff formation in long pipe
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Puff and Slug
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Excitable and Bistable
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Transition scenario is captured by transition from Excitability to Bistability, together with fluctuations on the upper excited branch.
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Brings tremendous clarity to transition in subcritical shear flows
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This must be the "right way"
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Intermittent vs Fully Turbulent
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Q&A
Description:
Explore the fascinating journey towards understanding turbulence in this comprehensive colloquium talk. Delve into the complex world of subcritical shear flows, examining recent developments in experiments, simulations, and theory that establish a connection between transition in these flows and directed percolation. Learn about precise critical points for systems without linear instabilities and how to characterize the onset of turbulence using universal power laws. Discover the physics behind complex turbulent structures observed near transition and gain insights into outstanding questions in the field. The talk covers topics such as critical Reynolds numbers, wall-bounded shear flows, intermittent turbulence, statistical phase transitions, and the mechanism for localization in turbulent flows.

The Route to Turbulence by Dwight Barkley

International Centre for Theoretical Sciences
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