I can't believe nobody has mentioned the role of the bound spanwise vortex, circulation and the role of the shed vortices .....
While I think of it .... regardless of how that flowfield near to the airfoil is displaced in actuality ... the nett result (think of a fixed wing here) is a spanwise vortex shed at rotation and left on the runway (flow at top towards flight path) , two trailing vortices from the tips of the wings (of opposite sign, flow "leaks" from bottom to top), and a bound vortex that travels with the wing creating the "circulation" (greek symbol Kappa from memory) that can be thought of as a superposition on the free air velocity and kind of fitting the Bernouilli theory (faster on top).
So you have a "box" of vortex threads with a nett vorticity of zero that make a pump that forces air down through the middle of the "box", exchange of momentum equals a force that is the lift etc. Bigger lift = bigger vortex, hence the wake behind "heavies".
Confused yet? I am and I only just opened the bottle.
By the way, when a fixed wing lands and the lift is reduced to zero, a big-ass vortex rolls off the front of the wing (because it left one behind at takeoff and they have to cancel to zero). Don't believe me? Accelerate your spoon through the crema on a long black or espresso at an angle of attack, then abruptly stop it. You will see the vortex shed at the start (takeoff) and another one of opposite sign roll off when you stop the spoon.
Now ... lets take that fixed wing, make it 3 of them, rotate them around an axis, and then ..... wait ...
