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In article ,
Martin Gregorie wrote: Sure, Cl is dependent entirely on AoA, but is not a linear relationship throughout the range: - It is linear at small angles. - When the AoA is high enough for the upper surface flow to start to separate the Cl tends to a constant value with increasing AoA. - If the AoA continues to increase even further you reach a point at which the Cl starts to decline, reaching zero at an AoA of 90 degrees. I'm with you on all that. However, my understanding is that a stall occurs when the lift generated by the wing drops below the load the wing is required to support. No, a stall is when increasing AoA decreases lift. There might well still be more lift that the weight of the aircraft, especially at high speed. The only reasons to avoid such stalled flight a - high drag and thus inefficient - the aircraft is unstable in roll, making it difficult or impossible to control. Presumably you've seen aircraft such as the F/A-18 demonstrate a slow pass at very high and stalled angle of attack? They are getting some of their support from the downward component of the engine thrust, of course, but with an AoA of, say, around 30 degrees it would need a thrust:weight ratio of around 2 in order for thrust to be enough to support the entire aircraft weight. It would also require *huge* drag in order to avoid accelerating at such a thrust level. The F/A-18 has nowhere near that amount of thrust, so the majority of the support is clearly still coming from the stalled wings. In that situation the aircraft is unstable, and would probably be improssible to fly like that without the computer reacting very quickly to unwanted rolls. So the F/A-18 can be happily flown in steady-state stalled straight and level flight primarily because of the computer control and also because the extra drag is less than the engine thrust available. For a given wing the generated lift is proportional to the Cl and to the square of the speed, so at a fixed AoA you can reduce the speed until the lift is no longer sufficient for flight, at which point the wing stalls. Well, ... no :-) If you maintain a fixed AoA, and the speed is such that the lift is less than the weight of the aircraft then the aircraft will start to follow a downwards parabolic path (not as sharply downwards as in a zero-G pushover, but similar). What happens next depends on what else (if anything) you are holding constant. Suppose, for the sake of concreteness, that you are initially flying straight and level at 60 knots and you then fix the AoA such that the wings are producing only half the lift required to support the glider. Normally a glider will accelerate, increasing the lift (and drag, but not by much). The extra lift will cause the path to become less sharply curved downward and things will come to equilibrium (or oscillate around) the point where the combined lift and drag are equal and opposite to gravity. For a typical glider polar curve this will happen at an airspeed of around 1/sqrt(0.5) times 60 knots, or 85 knots, plus or minus a little due to drag. So all you've acheived is to change the trimmed speed from 60 to 85 knots. Or, look at it the other way around. Maybe you were flying straight and level at 85 knots, and then you somehow instantly decrease the airspeed to 60 knots (maybe a gust up the tail). The lift is no longer sufficient to maintain level flight. But the glider doesn't stall. It just drops the nose and accelerates until it has returned to the trimmed speed of 85 knots. In no way are the wings ever stalled. If you stipulate constant speed as well as constant AoA (presumably via some large and adjustable drag, magical or otherwise) then the flight path will become steeper until the combined lift and drag vectors are again exactly equal to and opposite the gravity vector. This will result in a much steeper flight path, but still stable. Let's suppose again that you are at 60 knots and reduce the AoA to produce only half the lift required for flight and then continue to maintain exactly 60 knots somehow. Alternatively, suppose you're flying trimmed for level flight at 85 knots and then apply airbrakes to reduce and maintain 60 knots, while keeping the same trim (AoA). What happens? The AoA/speed are insufficient for flight at 60 knots and so the nose drops. If you draw up the force vectors then you will find that the glider will stablize in a 60 degree descent at your desired constant 60 knots. Lift (from the wings) is still 0.5 of the weight just as it was initially (but it's in a funny direction, tilted 60 degrees forward from vertical). Drag (from the airbrakes) is 0.866 of the weight, tilted 30 degrees from vertical. The horizontal components of lift and drag are equal and opposite and cancel out. The vertical force to oppose gravity comes 25% from the wings and 75% from the airbrakes. In no way are the wings ever stalled. No matter what you do, if you start with the wings not stalled then there is nothing you can do that will stall them while all the time keeping the AoA constant. If you see the nose drop and don't like it and pull back on the stick to try to prevent it then that is an entirely different matter -- you're increasing the AoA which certainly *can* stall the wings. -- Bruce |
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On Sun, 18 Jul 2004 15:14:37 +1200, Bruce Hoult
wrote: In article , Martin Gregorie wrote: Sure, Cl is dependent entirely on AoA, but is not a linear relationship throughout the range: - It is linear at small angles. - When the AoA is high enough for the upper surface flow to start to separate the Cl tends to a constant value with increasing AoA. - If the AoA continues to increase even further you reach a point at which the Cl starts to decline, reaching zero at an AoA of 90 degrees. I'm with you on all that. However, my understanding is that a stall occurs when the lift generated by the wing drops below the load the wing is required to support. No, a stall is when increasing AoA decreases lift. There might well still be more lift that the weight of the aircraft, especially at high speed. The only reasons to avoid such stalled flight a I wouldn't describe that as stalled. Separated flow, yes, and hence high drag, but not stalled. - high drag and thus inefficient of course - the aircraft is unstable in roll, making it difficult or impossible to control. That's not due to the stall, but rather to upper surface flow separation reducing aileron effectiveness. Presumably you've seen aircraft such as the F/A-18 demonstrate a slow pass at very high and stalled angle of attack? They are getting some of their support from the downward component of the engine thrust, of course, but with an AoA of, say, around 30 degrees it would need a thrust:weight ratio of around 2 in order for thrust to be enough to support the entire aircraft weight. It would also require *huge* drag in order to avoid accelerating at such a thrust level. The F/A-18 has nowhere near that amount of thrust, so the majority of the support is clearly still coming from the stalled wings. In that situation the aircraft is unstable, and would probably be improssible to fly like that without the computer reacting very quickly to unwanted rolls. IIRC an F-18 has unlimited vertical capability when lightly loaded. Such vertical flight requires no wing lift and a thrust:weight ratio of 1:1, so it follows that any other flight regime from normal flight to high-alpha, fully flow-separated attitudes where the wing is contributing some lift will require less thrust, not more. So the F/A-18 can be happily flown in steady-state stalled straight and level flight primarily because of the computer control and also because the extra drag is less than the engine thrust available. I think the control regime will be decidedly odd - ailerons should be pretty ineffective, computer of no computer, and that the aircraft may well be being flown on a combination of rudder and elevator. The drag in supersonic flight is so high that almost any Mach 2 aircraft has the thrust to do this. The real issue is control and here the all-flying tail that the Bell X-1 program discovered also happened to have the control authority needed to hold the high angle. For a given wing the generated lift is proportional to the Cl and to the square of the speed, so at a fixed AoA you can reduce the speed until the lift is no longer sufficient for flight, at which point the wing stalls. Well, ... no :-) If you maintain a fixed AoA, and the speed is such that the lift is less than the weight of the aircraft then the aircraft will start to follow a downwards parabolic path (not as sharply downwards as in a zero-G pushover, but similar). I think you'll find that's pretty much what does happen if you watch a stall from the outside, follow the path taken by the CG and ignore the attitude changes. I think our perceptions from the inside are very much affected by the pitch-down, but that's designed in by picking suitable incidence difference and airfoil characteristics for the tail. When the lift no longer balances the load on the wing the aircraft will accelerate downward: A = F/M always applies and the aircraft will accelerate until the lift once again matches the load on the wing. If you continue to hold the stick back in a fully stalled glider it will again achieve a steady state, but a very inefficient one with a largely separated airflow on the wing. Centreing the stick lowers the AoA and hence the Cl, so the aircraft again accelerates downward until it has the airspeed necessary for normal flight. Hmm, it looks like a terminology thing to me. I'd still maintain that the stall break comes when the wing can't support the load imposed on it. I suspect there's no disagreement here. However, I'd also accept that most pilots would call the following highly separated, though stable steady state rapid descent a "stalled wing" despite the fact that the wing is supporting the aircraft. Regardless of what its called, you'd best not try to land in that condition! BTW I've deliberately ignored accelerated stalls and high-speed stalls in this discussion because they are so far from steady state that I think the dynamics of the situation obscures what's really happening. What happens next depends on what else (if anything) you are holding constant. Suppose, for the sake of concreteness, that you are initially flying straight and level at 60 knots and you then fix the AoA such that the wings are producing only half the lift required to support the glider. Normally a glider will accelerate, increasing the lift (and drag, but not by much). The extra lift will cause the path to become less sharply curved downward and things will come to equilibrium (or oscillate around) the point where the combined lift and drag are equal and opposite to gravity. For a typical glider polar curve this will happen at an airspeed of around 1/sqrt(0.5) times 60 knots, or 85 knots, plus or minus a little due to drag. So all you've acheived is to change the trimmed speed from 60 to 85 knots. Or, look at it the other way around. Maybe you were flying straight and level at 85 knots, and then you somehow instantly decrease the airspeed to 60 knots (maybe a gust up the tail). The lift is no longer sufficient to maintain level flight. But the glider doesn't stall. It just drops the nose and accelerates until it has returned to the trimmed speed of 85 knots. In no way are the wings ever stalled. If you stipulate constant speed as well as constant AoA (presumably via some large and adjustable drag, magical or otherwise) then the flight path will become steeper until the combined lift and drag vectors are again exactly equal to and opposite the gravity vector. This will result in a much steeper flight path, but still stable. Let's suppose again that you are at 60 knots and reduce the AoA to produce only half the lift required for flight and then continue to maintain exactly 60 knots somehow. Alternatively, suppose you're flying trimmed for level flight at 85 knots and then apply airbrakes to reduce and maintain 60 knots, while keeping the same trim (AoA). What happens? The AoA/speed are insufficient for flight at 60 knots and so the nose drops. If you draw up the force vectors then you will find that the glider will stablize in a 60 degree descent at your desired constant 60 knots. Lift (from the wings) is still 0.5 of the weight just as it was initially (but it's in a funny direction, tilted 60 degrees forward from vertical). Drag (from the airbrakes) is 0.866 of the weight, tilted 30 degrees from vertical. The horizontal components of lift and drag are equal and opposite and cancel out. The vertical force to oppose gravity comes 25% from the wings and 75% from the airbrakes. In no way are the wings ever stalled. No matter what you do, if you start with the wings not stalled then there is nothing you can do that will stall them while all the time keeping the AoA constant. If you see the nose drop and don't like it and pull back on the stick to try to prevent it then that is an entirely different matter -- you're increasing the AoA which certainly *can* stall the wings. -- Bruce -- martin@ : Martin Gregorie gregorie : Harlow, UK demon : co : Zappa fan & glider pilot uk : |
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On Sun, 18 Jul 2004 15:14:37 +1200, Bruce Hoult
wrote: Presumably you've seen aircraft such as the F/A-18 demonstrate a slow pass at very high and stalled angle of attack? They are getting some of their support from the downward component of the engine thrust, of course, but with an AoA of, say, around 30 degrees it would need a thrust:weight ratio of around 2 in order for thrust to be enough to support the entire aircraft weight. Great example! But don't forget that the F-18 (as well as any other fighter) uses a couple of tricks, notably the strakes - the vortices produced by the strakes produce a large percentage of the lift while the outer wings are completely stalled and produce only very little lift. These fighters and delta winged aircraft don't play fair concerning lift creation. ![]() Bye Andreas |
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