"Pump" is doing a lot of work in that explanation. It's a very subtle thing to explain the pressure differential of a non moving airfoil, and marry it up with such real-world conditions like flying aircraft upside down, trailing edge vortices, and the like. You need both Newton and Bernoulli here, and Euler when viscosity is irrelevant (most airfoils except on the boundary layer) -- the Kutta-Joukowski theorem demands circulation (= vortices) for lift to happen. And that's why aircraft have to wait in line at the run way, since there's huge trailing edge vortex sheets shed on take off.
Fluid dynamics is really damn complex. Wikipedia is actually not that bad.
> It's a very subtle thing to explain the pressure differential of a non moving airfoil
I'm not sure that's a real thing that happens in real life or theoretical physics.
If the airfoil isn't moving, is anything happening? Or are you talking about a non-moving airfoil with air moving around it? It's impossible to tell the difference between a non-moving airfoil with air moving around it and a moving airfoil with still air around it, given that they're equivalent provided you define the reference frame correctly.
Yeah I used the wrong term: an airfoil that isn't changing its shape or being used like a bird wing, where there's more going on than just in a fixed-wing aircraft.
Fluid dynamics is really damn complex. Wikipedia is actually not that bad.