Periodic orbits: Difference between revisions
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A spatially localised patch of turbulence: | A spatially localised patch of turbulence: | ||
{{#ev:youtube|http://youtu.be/gDYdD8MBlPU}} | {{#ev:youtube|http://youtu.be/gDYdD8MBlPU}} | ||
Periodic orbits in pipe flow, visualised in terms of their input (I), dissipation (D) and kinetic energy (E), relative to their laminar values: | |||
{{#ev:youtube|http://youtu.be/X_xKq1yt1UQ}} | |||
Revision as of 13:56, 16 October 2014
Stuff on periodic orbits to appear here!
[Under construction]
Periodic orbits in pipe flow
Pipe flow, Re=2500. Regions of flow, slower than the mean flow is indicated in blue, called 'streaks'. Rotating 'vortex structures' are indicated in yellow. To simplify analysis a 4-fold rotational symmetry has been imposed. This does not significantly affect statistical properties of the flow, e.g. the turbulent friction factor:
Viewed in a moving frame, recurring patterns are observed - periodic orbits:
A spatially localised patch of turbulence:
Periodic orbits in pipe flow, visualised in terms of their input (I), dissipation (D) and kinetic energy (E), relative to their laminar values: