Hi Rollerblades
Here, it goes my second turn:
- Take the Bernouli theorem, applied to the flow over an unity span wing, on the top and bottom surfaces.
-Consider the integration of the pressure along airfoil chord, on the top and bottom surfaces respectively thus having V1 > V2 or P1<P2. (1 stands for the top surface and 2 stands for the bottom surface.)
-It results an up-driven force, the Lift. Or in terms of the local vortice generation, being V1-V2>O and the corresponding vortex sheet, integrating that velocity difference along the chord, the intensity of the vortex sheet (or the vortex strength) along the airfoil chord is defined by the variable “circulation”, expressed by Circulation = Integral along the chord of V1-V2.
- The Kutta-Joukowski theorem explains the resulting Lift in terms of the circulation variable: Lift= specific air density x Mean flow velocity x circulation.
- Notice, this analysis is for one length unity span wing. So, you have to integrate this effect along the wing span dimension, y axis. If the wing is clearly of 3D nature, you will have different circulation values, Thus Circulation = f (y axis).
- Along the airfoil chord and along the span wing, you have generation of circulation, thus the generation of Litf happens all over the wing. That means, all the wing produces Lift, not only in its extremes!
- Now, we arrive finally to the wing extremes. The way we treat locally these singular wing portions, a better (or worse) aerodynamic effects/efficiency we will get.
- The wing extremes have the trend generate big vortex, that means local Lift and, at the same time as well, local strong induced drags. So what you get is the positive effect, Lift, againsts a negative effect you have to pay the local extremes wing induced drag.
- Therefore, one (and not so expensive) way we have to decrease such unconvenient balance in the already existing aircrafts is to adapt winglets, in order to reduce the vortex strength, thus the respective induced drag.
- I must say that all we said before stands for it, in those expressed terms, we did.
May I hope to have been clear this time.
zzzo