I made this small table for an older topic to illustrate for the 787, trade-off between AOA, weight, speed, and altitude:
Can I understand such behavior of AoA beyond just saying Bernoulli, but by somehow better grasping first principles of Bernoulli?
A wing makes lift by curving the air’s path.
AOA adjusts the amount of turn the wing’s curved shape gives to the air.
The wing’s curvature turning the air, drops pressure above the wing which pulls air down from above.
Forcing mass down to overcome gravity ties together the physics of rockets, helicopters and fixed wing aircraft.
Bernoulli is what we label as the phenomena that drops pressure from curving the air.
But how does Bernoulli work?
A dance between static and dynamic pressure:
The relative wind has to maintain continuous flow passing over the wing: If air were to continue to “pile-up” anywhere along the curved path, the accompanying static pressure at that location acts like a balloon’s pressure accelerating air out it’s small opening.
The “ballooning” static pressure accelerates to faster dynamic-pressure at the exit.
So, the tendency to “pile-up” becomes self-limiting. More accurately, maintaining the continuous mass flow of air becomes self-moderating.
The pressure drop over the top leading edge of the wing results from the continuous flow’s “pile-up” self-moderation: The mass density (and therefore the pressure density) profile along the wing’s camber will self-distribute to cause just enough pressure drop to force the flow acceleration around the contour to maintain a continuous flow rate.
If it’s not maintained continuous, the distribution self-adjusts (to relieve pressure imbalance) until it regains continuity of mass flow.
So your nose pitch-up has meaning: it regulates how much air curvature you need for enough pull down on air from above to keep you up.
And the Bernoulli part of that is: you set the pressure change by how much curved path disruption you need to impose on a continuous mass flow of air, so that it’s pressure change (including drop below atmospheric static pressure) is sufficient to maintain its horizontal flow rate.
Simpler ways to see Bernoulli?
edit: velocity distribution:
Hotter the color, the faster the speed. Air accelerated to clear the leading edge is moving so much faster than its starting speed (relative wind speed), so it’s static pressure has dropped pulling the higher static pressure air down from above.