Simon Bridge said:
It's a nice bit of logic, but it is incomplete as a refutation.
i.e. how does the shape of the airfoil generate the pressure difference?
If pressure differences are the whole story - how do you account for the various objections?
There's nothing "open" about the lift question. If you know the pressure distribution over the whole surface of an airfoil, you can integrate it to recover the exact lift force on the surface minus potentially some incredibly tiny contributions from viscosity.
The pressure distributaries can be calculated from Bernoulli's equation assuming that the flow is not separated and that you know the velocity field a priori. Then, as lon as you know the free stream conditions and the velocity field, you can calculate the pressure and then the lift.
If you want to know the velocity field, you need to go into any number of numerical methods ranging from inviscid approaches with corrections to mathematically impose the post important effect of viscosity (the Kutta condition), solving the Navier-Stokes equations directly, and a whole bunch of options in between with varying degrees of accuracy.
The conservation laws dictate how the air interacts with a specific airfoil shape and therefore the flow field, which dictates the pressure, which can be used to calculate lift. How this occurs has to do with the fact that the velocity around a sharp (or effectively
sharp) trailing edge cannot be infinite, and therefore the trailing edge stagnation point is enforced at the latest at the trailing edge (rather than upstream somewhere as predicted by inviscid theory). This is accomplished essentially by separating the viscous boundary layer at that point. In order for conservation laws to hold, the typical airfoil velocity profile must result. There are, of course, exceptions, as with anything, such as separated airfoils, but by and large, this is the quick version of how it happens.
Regarding the Newton argument, Newton's laws suggest that there should be an opposite reaction to accompany the upward lift force. This is where downwash comes in. The momentum change in generating downwash balances the lift force. They are two sides of the same coin. However, if you pick a random airfoil shape of interest, if you want to calculate lift, you aren't going to calculate the downwash. Thad not practically. On the other hand, you can easily calculate the velocity profile, use that to get pressure, and then use the pressure to get lift. There is no either/or.