Periodic orbits: Difference between revisions

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


Testing...
[Under construction]


Periodic orbits in pipe flow (viewed in a moving frame).
=== Periodic orbits in pipe flow ===
Direction of flow is from left to right.


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}}
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 13:36, 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: