Theoretical lift slope for thin airfoils

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SUMMARY

The theoretical lift slope (dCl/dα) for thin airfoils is established as 2π, which is a fundamental result in aerodynamics. For Joukowski airfoils with a small but finite thickness, the lift slope is modified to 2π(1 + 0.77t/l), where 't' represents the maximum thickness and 'l' denotes the chord length. Additionally, the effective angle of attack is adjusted to α + 2h/l, with 'h' being the maximum camber of the airfoil's centerline. These equations are critical for understanding lift generation in airfoil design.

PREREQUISITES
  • Understanding of lift coefficient (Cl) and angle of attack (α)
  • Familiarity with Joukowski airfoil theory
  • Knowledge of airfoil geometry, including thickness and camber
  • Basic principles of fluid dynamics and aerodynamics
NEXT STEPS
  • Research the derivation of the lift coefficient for thin airfoils
  • Study the effects of airfoil thickness on lift slope
  • Explore the application of Joukowski transformations in airfoil design
  • Learn about the impact of camber on lift and drag characteristics
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Aerodynamic engineers, aerospace students, and researchers focused on airfoil performance and design optimization will benefit from this discussion.

heinekenisnic
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hi,

I am required to search the internet to find out what the theoretical value of the lift slope (dcl/dalpha) is for thin airfoils.

Cl is the lift coefficient and alpha is the angle of attack of the airfoil. Does anyone have any ideas? Thanks for your time.
 
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The answer is 2pi.
 
Ignoring thickness effects, the slope is simply 2*Pi as stated above. For a Joukowski airfoil with a small but finite thickness, the slope is 2Pi(1+.77t/l), where t is the maximum thickness and l is the chord. The effective angle of attack is alpha+2h/l, where h is the maximum camber of the centerline.
 

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