Difference between revisions of "Periodic orbits"

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Stuff on periodic orbits to appear here!
 
Stuff on periodic orbits to appear here!
  
Testing...
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[Under construction]
  
Periodic orbits in pipe flow (viewed in a moving frame).
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=== Periodic orbits in pipe flow ===
Direction of flow is from left to right.
 
  
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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:
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{{#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}}
  
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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: