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CATEGORIES:Waves Group (DAMTP)
SUMMARY:Cascades of owls: singular integral equations in a
erodynamics - Peter Baddoo ( DAMTP)
DTSTART;TZID=Europe/London:20181120T103000
DTEND;TZID=Europe/London:20181120T113000
UID:TALK114163AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/114163
DESCRIPTION:Porous aerofoils have excellent aeroacoustic prope
rties\, albeit at the expense of aerodynamic perfo
rmance. In this talk\, we will investigate the aer
odynamic performance of a variety of aerofoil conf
igurations through the analysis of singular integr
al equations. We will begin by studying the basic
single rigid aerofoil problem and introduce two me
thods of solution: inversion via a Riemann-Hilbert
problem and expansion in weighted Chebyshev polyn
omials. We shall show how the former method can be
extended to porous aerofoils (which satisfy a Dar
cy condition along their chord)\, but breaks down
when they are undergoing unsteady motions. Consequ
ently\, we extend the Chebyshev method to porous a
erofoils by using asymptotic analysis to determine
the parameters of a weighted Jacobi polynomial ex
pansion. We will also apply the Riemann-Hilbert me
thod to cascades which may be rigid and stationary
\, porous and stationary (i.e. a cascade of owls)\
, or rigid and moving. The latter allows many resu
lts for single aerofoils to be generalised to casc
ade geometries\, such as the Theodorsen function a
nd Sears gust response function. Some preliminary
experimental results into steady ground effect wil
l also be presented.
LOCATION:CMS\, MR15
CONTACT:Matthew Priddin
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