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SUMMARY:Transition to turbulence in pipe flow - Eckhardt\, B (Philipps-Uni
 versitat Marburg)
DTSTART:20080909T084000Z
DTEND:20080909T090000Z
UID:TALK13340@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:According to textbook wisdom\, flow down a pipe becomes turbul
 ent near a Reynolds number of about 2000. This simple statement misses man
 y subtleties of the transition: the absence of a linear stability of the l
 aminar flow\, the sensitive dependence on perturbations that sometimes suc
 ceed and sometimes fail to induce turbulence and the unexpected observatio
 n that the turbulent state\, once achieved\, is not persistent but can dec
 ay. All these observations are compatible with the formation of a strange 
 saddle in the state space of the system. I will focus on three aspects: on
  the appearance of 3-d coherent states\, on the information contained in l
 ifetime statistics and on results on the boundary between laminar and turb
 ulent regions. They suggest a generic structuring of state space in flows 
 where turbulent and laminar flow coexist. 
LOCATION:Seminar Room 1\, Newton Institute
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