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SUMMARY:Wave interaction with an infinite cascade of non-overlapping blade
 s - Georg Maierhofer (University of Cambridge)
DTSTART:20190821T140000Z
DTEND:20190821T143000Z
UID:TALK128869@talks.cam.ac.uk
CONTACT:Matthew Priddin
DESCRIPTION:We consider the acoustic scattering problem on an infinite cas
 cade of finite-length blades. This problem has its origins as a model for 
 the components in turbofan engines and is of correspondingly wide interest
 . Analytical studies of the problem\, however\, have only been successful 
 thus far in the case of overlapping blades. We present the first analytica
 l solution in the case of non-overlapping blades\, which is found to be va
 lid for an arbitrary choice of blade spacing. This solution exploits the W
 iener-Hopf technique and is based on the use of a novel additive splitting
  in a system of coupled scalar Wiener-Hopf equations. The solution allows 
 us to understand the far-field behaviour of scattered acoustic waves\, as 
 well as the lift exerted on the blades by vortex waves that are incident o
 n the structure.
LOCATION:CMS\, MR12
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