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Lift line theory

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Aviator168

Well-Known Member
Joined
Sep 21, 2012
Messages
2,288
Location
Brookville, NY. USA
Is the usage approximation good enough for lift analysis? I noticed the following approximation is for elliptical wings. Are there counter parts for other wing types?

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A useful approximation is that

81b44f0dc889ffafeb183a703c5dbca6.png
where
The theoretical value for
46d87a9e2e799c5b04afd809048b4a0b.png
is 2
522359592d78569a9eac16498aa7a087.png
. Note that this equation becomes the thin airfoil equation if AR goes to infinity.[9]

Lifting-line theory also states an equation for induced drag:.[10][11]
64dcc6b920399563d99eee0b8413084a.png
where
  • d78de57b0ea7a272d171ef996c976138.png
    is the drag coefficient for induced drag,
  • b0f7f798adcadd4b1870623797e05134.png
    is the lift coefficient, and
  • 223ac7f88232616f7ccb65cd0462d167.png
    is the aspect ratio.
  • 490ce7c59ad0972dabdfb47caedd8960.png
    is the planform efficiency factor (equals 1 for elliptical circulation distribution).
 
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