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SUMMARY:The Effects of a Nonlinear Boundary Condition on the Steady Aerody
 namics of Porous Aerofoils - Robin Boitte (Ecole Normale Supérieure Paris
 -Saclay)
DTSTART:20220221T150000Z
DTEND:20220221T160000Z
UID:TALK170618@talks.cam.ac.uk
CONTACT:Alistair Hales
DESCRIPTION:This talk considers the lift coefficient of an aerofoil with n
 on-zero prescribed thickness\nand camber\, along with a prescribed porosit
 y distribution in a steady incompressible flow. In\nsimilar prior work\, a
  Darcy porosity condition on the aerofoil surface furnishes a Fredholm\nin
 tegral equation\, which permits an exact solution provided that the porosi
 ty distribution is\nHölder-continuous. However\, a comparison of that lif
 t prediction for porous aerofoils versus\nexperimental measurements indica
 tes that for large values of the porosity parameter\, the model\ndiverges 
 from the experimental data. This indicates a fundamental characteristic is
  missing\nin the mathematical model. Consequently\, in this paper the (lin
 ear) Darcy porosity condition\nis replaced by the (non-linear) Forchheimer
  porosity condition. The Forchheimer porosity\ncondition is decomposed int
 o linear sections and provides a modified system of Fredholm\nintegral equ
 ations\, which permits an approximate solution by superposition. The new H
 öldercontinuous solution is verified against the SD7003 aerofoil results\
 , and the comparison shows\nbetter agreement rather than considering the D
 arcy porosity condition. The methodology and\nresults presented here may b
 e combined with previous work on the aeroacoustics of porous\naerofoil wit
 h a Forchheimer boundary condition to address the conflicting aims of impr
 oving\naerodynamic performance but reducing unwanted aeroacoustic emission
 s
LOCATION:Zoom
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