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SUMMARY:Towards the control of transition to turbulence - Cedric Baume\, U
 ni of Leeds
DTSTART:20200220T113000Z
DTEND:20200220T123000Z
UID:TALK137236@talks.cam.ac.uk
CONTACT:Catherine Pearson
DESCRIPTION:Transition to turbulence is a common instability in which a la
 minar flow evolves into spatio-temporal chaos. It affects a number of appl
 ications involving the displacement of fluid such as fluid transport and a
 erodynamics. When a flow transitions to turbulence\, wall friction and dra
 g increase\, impacting negatively the above applications and creating the 
 need for control. The engineering literature has\, so far\, mainly focused
  on alleviating the effects of turbulence. We take a different approach: w
 e do not consider fully developed turbulent flows but rather aim to postpo
 ne the transition to it.\n\nIn this talk\, we will consider one of the sim
 plest examples of transitional flows (plane Couette flow)\, where transiti
 on occurs through a finite-amplitude instability: a perturbation of suffic
 ient energy is necessary to trigger transition. We will discuss two ideas 
 to facilitate the control of transition. Firstly\, we will assess the robu
 stness of the laminar flow by computing the probability that random pertur
 bations transition as a function of their amplitude. Secondly\, as transit
 ion involves spatially localized turbulent spots\, we will discuss the dyn
 amics of steady spatially localized solutions and determine under which co
 nditions they yield long-lasting chaos. Both of these ideas will be presen
 ted in the absence of control to establish a benchmark and will then be te
 sted in the presence of a well-studied control strategy. Quantitative conc
 lusions on the efficiency of the control will be drawn.
LOCATION:Open Plan Area\, BP Institute\, Madingley Rise CB3 0EZ
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