[lutorm]

The point about Bernoulli is that it only applies in its naive form in fluid flow where it's effectively a closed system. If you introduce airstreams of varying speeds then all bets are off.

It applies to fluid elements that have the same internal energy. In the case of the airplane wing, the air ahead of the wing is effectively unaffected by the wing's presence, so you can apply the Bernoulli effect to comparing different fluid elements.

Sure, if you compare the air coming out of a hair dryer with air that doesn't, you'll get in trouble, but that has nothing to do with an airplane wing.