sophiecentaur said:
When a heavy object stays up in the air there must be air leaving downwards to produce the necessary force. The issue is the mechanism that causes this flow.
This view always troubled me because if it were exactly true, it would mean that as airplanes flew, they would eventually force the atmosphere down into a liquid ocean on the surface of the Earth. And that's not a joke; the air
has to end up back where it started.
But the main reason I don't prefer the conservation of momentum model for wings is that the flow-field can't be clearly defined:
- It is infinitely tall so doesn't have a definable cross sectional area.
- Its velocity profile isn't uniform.
Please don't misunderstand; it's not wrong, it's just difficult to use.
It works great for helicopters (or fans), though, because oftentimes you don't look at the blades of the rotor, you just look at the disk, and the air flowing across it. It's an exact area and volume, and a uniform velocity, so it is easy to use for calculations.
cjl said:
Now, Bernoulli says absolutely nothing about why the flow over the top surface is faster...
It's also worth noting that the conservation of momentum model
also doesn't say
why the flow is bent downward, and oddly people don't seem to get bent out of shape over this limitation or its obvious associated misconception:
Often the first time people think about lift is when they stick their hand out the window of a car and make it fly. The simple explanation: the air hits the bottom of your hand and is deflected downward. Heck, you can FEEL it. Momentum transfer! But it is a lot harder to deal with the fact that the air moving over the top of the wing is much more important to lift than the air bouncing off the bottom. The reasons for the air accelerating and curving down over the top of the wing present the same problems/complications for Bernoulli and Newton.