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SUMMARY:Peter Baddoo (MIT)
DTSTART:20220517T130000Z
DTEND:20220517T140000Z
DTSTAMP:20260422T201411Z
UID:CAvid/75
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CAvid/75/">U
 nderstanding interacting aerofoils with complex analysis</a>\nby Peter Bad
 doo (MIT) as part of CAvid: Complex Analysis video seminar\n\nLecture held
  in N/A.\n\nAbstract\nWhen two or more aerofoils move together\, their int
 eractions can significantly affect the characteristics of the surrounding 
 fluid. We develop a rigorous mathematical theory for these interactions us
 ing conformal maps\, multiply connected function theory\, and modified Sch
 warz problems. Via the transcendental Schottky–Klein prime function\, ou
 r theory is valid for any connectivity (any number of aerofoils). Accordin
 gly\, our approach is very general and permits many aerofoil motions (pitc
 hing\, heaving\, undulatory) and configurations (tandem\, in-line\, ground
  effect). We focus on the (doubly connected) case where there are two inte
 racting swimmers and find that our theory yields excellent agreement with 
 experimental data. We also develop an asymptotic solution that captures th
 e salient features of the prime function solution.\n
LOCATION:https://researchseminars.org/talk/CAvid/75/
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