sophiecentaur said:
Doesn't viscosity have an effect on the behaviour of the air? Perhaps I should have used the term frictional and turbulent losses instead.
For most aircraft, and really a surprising amount of fluid flow in general, viscosity can be completely neglected except in the boundary layer. In general, you will get a very accurate lift value around an airfoil even if you simulate a completely inviscid flow, though the drag will of course be wrong (since a decent amount of drag does indeed come from the boundary layer).
sophiecentaur said:
I don't know enough to have a serious opinion about Bernoulli but my point is that Bernoulli only considers the air flow very near to the plane and doesn't particularly care about what happens to all the displaced air in the wake of the aircraft.
No, Bernoulli is generally true throughout the flowfield, except where there is energy addition or loss (which is pretty much just in the boundary layer and in any engine wakes). Of course, as stated above, Bernoulli doesn't tell you enough to know what the flow will actually do, just how the velocity and pressure will be related at any point in the flow, but the "Newtonian" flow deflection explanation suffers from the exact same problem. If you actually want to know what your streamlines will look like and get quantitative data on how much lift you'll make, neither explanation will cut it and you need to get into some much more complicated models to figure that out.
sophiecentaur said:
Bernoulli can be as accurate as you like but it doesn't consider (and probably doesn't need to) the bigger picture. But there is clearly something relevant when you consider ground effect, when lift is very much influenced. The pressure on the air around the wake of an aircraft doesn't have to be building up 'below' it. The pictures higher up in the thread show very large scale motion with air going up at the edges and down near the centre.
Again, no simple explanation actually tells you what the flowfield looks like. Bernoulli absolutely can tell you about the lift increase in ground effect, because the flowfield around the wing (and the velocities next to the wing surface) are different in ground effect than they are when the plane is far from the ground. Neither Bernoulli nor the downwash explanation do a good job explaining why ground effect is a thing though. As far as simple explanations go, I prefer to refer to the wingtip vortex formation. The presence of the ground interferes with the full development of tip vortices and decreases the induced downwash angle that the wing sees. This means that for the same global angle of attack (for the airplane relative to freestream), the local angle of attack seen by each wing section is slightly increased, and the lift vector is tilted slightly forwards (due to the inflow angle being more parallel to the flight path). This causes a reduction in induced drag, and an increase in lift, and also explains why the stall angle for an aircraft in ground effect is reduced (which does not make sense if you just think of it as the downwash impinging on the ground).
sophiecentaur said:
If you think of a balloon envelope resting on the ground with a Helium cylinder and the Helium expanding into the balloon until it rises, the total force on the Earth will be the weight of the ballon, it's just that the pressure is very small over a huge area. A similar thing is going on with a heavier than air craft. The total weight of all flying craft is an incredibly small fraction of the weight of the whole atmosphere.
Sure, but I don't really know what this has to do with the rest of the post. This also doesn't depend on only the downwash explanation - it works just as well if you think of the aircraft as applying a local pressure step across the wing that eventually propagates down to the ground.