The thing is aerodynamics is ALL Newtonian physics (with some thermodynamics/kinetic theory and mass conservation sprinkled there). The distinction created by people about Newton action-reaction vs Bernoulli is a ludicrous one, created from a misapplication of basic physics. The Bernoulli equation can be directly derived from the Navier-Stokes equations that come from Newtonian physics. In fact is in an energy conservation statement. If you think in terms of force (not energy ) then pressure differentials and shear stress distributions are the producers of lift and drag.
THIS! ^^^
Not surprisingly, John D. Anderson's book opens with....... integrating pressure and shear stress distributions over an airfoil. Like this:
Obtained using the three-dimensional
Navier-Stokes equations and the
Euler equations (both from the excellent NASA Glenn website).
The "equal transit time" Bernoulli explanation is bogus, because there's nothing in reality causing air molecules to try and "catch up" to their friends on the bottom of the wing. @
Fly_Unity already linked to it but it's worth doing it twice:
http://www.grc.nasa.gov/WWW/k-12/airplane/wrong1.html
Yet on the next page, NASA Glenn also debunks the "skipping stone theory", which says lift is solely produced by deflected air by the bottom of the airfoil producing downwash:
http://www.grc.nasa.gov/WWW/k-12/airplane/wrong2.html
As @
Jimflyfast hinted at, the
circulation based theories (the ones that have been "taught to real aerodynamicists for the last 80 years"

) are what are used in practice. While I haven't had much exposure to Computational Fluid Dynamics (CFD) which relies heavily on numerical methods and computers doing the brunt of the work, the circulation theories I learned in Aerodynamics class were the 2D
Kutta-Joukowski Theorum, and the 3D
Prandtl Lifting-Line Theory. Despite the fancy name, Kutta-Joukowski isn't that complicated: It just says that Lift force is directly proportional to the
counterclockwise circulation of air around the airfoil (when the 2D airfoil is facing left).
I don't claim to be an expert on this, in fact I had a hard time trying to intuitively understand circulation theory and "vortex sheet" approximations. But at the end of the day I like to think the Bernoulli explanation and the Newton's 3rd-law downwash explanations are both right to some degree, and both wrong. Neither provides the complete picture, and ultimately multiple factors and physical phenomena (namely
circulation) collectively contribute to the pressure and shear stress distributions that ultimately produce lift.