# Difference between revisions of "Periodic orbits"

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Stuff on periodic orbits to appear here! | Stuff on periodic orbits to appear here! | ||

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− | Periodic orbits in pipe flow | + | === Periodic orbits in pipe flow === |

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+ | 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: | ||

+ | {{#ev:youtube|http://youtu.be/hSj0VnmSQro}} | ||

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+ | Viewed in a moving frame, recurring patterns are observed - periodic orbits: | ||

{{#ev:youtube|http://youtu.be/SzDi_vORuMs}} | {{#ev:youtube|http://youtu.be/SzDi_vORuMs}} | ||

+ | A spatially localised patch of turbulence: | ||

{{#ev:youtube|http://youtu.be/gDYdD8MBlPU}} | {{#ev:youtube|http://youtu.be/gDYdD8MBlPU}} |

## Revision as of 14:36, 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: