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#221
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lift, wings, and Bernuolli
Jose wrote: fredfighter wrote: Please show us your arithmetic. Suppose a 1500 lb airplane is flying horizontally at 120 mph at 5000 feet above MSL. What are the vertical and horizontal components of the momentum of that aircraft? .... If so, then during the time it is in freefall, it acquires a downward velocity. Small, no doubt, but nonzero. Sometimes it does, sometimes it does not. I'll allow as the vertical component of velocity decreases during that time, for a positive up coordinate system and a plane in (macroscopic) level flight. Ok. (I was sloppy - it doesn't "acquire a downward velocity", it really "endures a downward acceleration", which depending on the initial vertical velocity may or may not end up with the plane going downward.) Right, but don't forget that the downward acceleration is constant without regard to the velocity of the aircraft. So we are saying the same thing here. Do you agree that in each collision momentum is transferred to the air molecule that is equal and opposite to the momentum transferred to the wing? Yes I do. This is what I call "throwi ng the air down". That downward momentum will remain with the air (dissipated across many other molecules as it keeps colliding, but never disappearing) until it is transferred to the earth, which has been accelerating upwards in the same fashion. Do you agree that the net momentum transfered to the Earth by the air molecules is equal and opposite to the net momentum transferred to the wing by the air molecules? Do you agree, therefor that there is no net momentum transfered to the air? I agreed quite some time ago that the theoretical basis for macroscopic gas laws is to be found in statistical mechanics. Ok. On a macroscopic level, the vertical component of momentum of the wing is zero. Yes. Therefor on a macroscopic level, the sum of the momenta transferred to the air molecules, integrated over all of the air molecules must also be zero by Newton's third law. Right? Only in a nonaccelerated frame. We are dealing with an accelerated frame. Consider a rocketship hovering over the moon. The (macroscopic) vertical component of its momentum is zero also. However it has to continually throw down rocket exhaust to stay there. Instead, let's consider a wing in level flight. So, without looking at the rest of the picture, your conclusion about momentum is flawed. In the case of the wing, the momentum is transferred a few times... once when the wing hits the air molecule (throwing the air down), again when that molecule hits the earth and bounces back (throwing the earth away from the wing), At which ponit the Earth throws the air molecule back up so that the net momemtum transferred to the air molecule is zero (averaged over the entire atmosphere) and then again when that air molecule (or its proxy) hits the wing on the way back up. Which again transferes an equal and opposite momentum to the molecule which again is transferrred to the Earth leaving no net transfer of momentum to the air. Think about a person sitting on a stool. No momentum transfer (or so it would seem). But then think about a person supporting himself by dribbling a basketball. There is a lot of momentum transfer, but no =net= change. The reason there is no net change is that the basketball keeps pushing the earth away too. And there is no net transfer of momentum to the basketball. This is clear as the average velocity of the basketball is zero, even though the average speed is non-zero. Think of the example we had earlier of a piston supported by air pressure in a cylinder. The momenta transferred by air molecules to the piston is equal and opposite to the momenta transfered by the air molecules to the bottom of the cylinder. There is no net transfer of momentum to the air. -- FF |
#222
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lift, wings, and Bernuolli
Do you agree that the net momentum transfered to the Earth by the
air molecules is equal and opposite to the net momentum transferred to the wing by the air molecules? Yes. Do you agree, therefor that there is no net momentum transfered to the air? Overall, yes. Similarly, there is no net momentum transferred to the basketball when it is being used to support a (very fast) dribbler. But that is not to say that there is no momentum transfer. The basketball certainly moves around. I do agree that the net overall is zero. The air does not pile up permanently. At which ponit the Earth throws the air molecule back up so that the net momemtum transferred to the air molecule is zero (averaged over the entire atmosphere) Yes. [it hits the wing on the way up] Which again transferes an equal and opposite momentum to the molecule which again is transferrred to the Earth leaving no net transfer of momentum to the air. Yes. Overall, there is no net (or "permanent") transfer of momentum to the air. The air is an intermediary, keeping the wing and the earth apart. There is certainly =energy= transfer to the air (mv^2/2), and there is a lot of momentum transfer =back=and=forth= with the air, but I will agree that the net is zero. The air is sort of a catalyst - ending up unchanged as it transfers momentum to the earth and then transfers it back from the earth to the wing. So.. after all that, I think we are in agreement - there is no =net= (permanent) vertical momentum transfer to the air, but there is locally momentum transferred to the air, which carries it to the earth and uses it to neutralize the momentum the earth has acquired being attracted to the plane, in doing so it acquires momentum in the opposite direction and transfers it to the wing, ending the cycle and leavint the air ready to act as momentum messenger again. It carries momentum messages both ways, they (overall) cancel out, but do keep the earth and the wing separated. === In addition, the wing is throwing air forwards, due to its AOA and its own forward motion. (this acts as drag, counteracted by the engine). The air thrown forwards increases the pressure in front of the wing, that plus the air thrown down makes the air pressure in front of and below the wing higher, causing the air to rise in front of the wing. This rising air helps lift the wing; this is the source of induced drag. Some of the rising air spills around the wingtips, causing vortices. The vortices are not the cause of lift, they are an inescapable side effect of lift. Concur? Jose -- Money: what you need when you run out of brains. for Email, make the obvious change in the address. |
#223
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Very long boring technical discussion of Lift Faries adn Thrust
OK, Jose (just had to say that one) explain delta wings.
http://ernest.isa-geek.org Oh, that's a tough one. Looking at the CAD drawings, I was at first inclined towards the helicopter methods (it's ugly; the earth repels it) but the composite of several deltas belies that simpleminded conclusion. It resembles a bird in flight, maybe the air can be fooled into thinking feathers are on their way... but that requires the air to do the lifting. We know this can't be true. Obviously some out-of-the-box thinking is in order. Fortunately I'm up to the task; people have been trying to put me back in my box for ages. I am drawn to the 200 mph cruise speed; this is pretty fast for a single engine prop plane. Maybe we are thinking this whole lift thing backwards. An airplane's natural habitat is the air, and it =wants= to go into the air. Very often what brings airplanes down are gremlins, usually traced to the control system, the avionics, or even the pilot himself. The object of the propeller is to shake the gremlins off the plane and allow the plane to achieve its natural state. Since gremlins are pretty fast, the airplane has to also move forward to keep them off the plane. This is a homebuilt, which is the natural habitat of gremlins. So, it has to move =very= fast in order to shake them off and keep them off. When you consider how hard gremlins are, and how soft feathers are, it's a natural that feathers repel gremlins, and lift is sometimes erroniously attributed to feathers. Many researchers have been down this path, and there is a large body of accepted literature in support of the feathers theory. At low speeds, the feather theory and the gremlin theory give pretty much the same answers, but at high enough speeds the relationship breaks down and the feather theory gives erronious answers. This is where gremlin theory shines (it should be noted that lift fairies are just gremlins gone bad). Gremlin theory holds the potential for explaining a lot of aviation that is otherwise unexplainable, but experiments are difficult and fraught with peril. However, I would be happy to conduct the appropriate research. Send grant money to Jose, care of Usenet. Jose -- Money: what you need when you run out of brains. for Email, make the obvious change in the address. |
#224
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Very long boring technical discussion of Lift Faries adn Thrust Demons....(NASA)
("Jeff" wrote)
Remember, Time flies like an arrow... Fruit Flies Like a Banana... Do all fruit flies have bannana ratings ? Only visual banana rules in most cases. I heard the IBR are a tad tough. The scarcity of tiny instrument training hoods or banana simulators makes it even more difficult. Apparently the FAA waived the requirement for a safety pilot. They feel there's a sufficient number of eyes in the cockpit already. Montblack |
#225
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Very long boring technical discussion of Lift Faries adn ThrustDemons....(NASA)
Montblack wrote:
("Jeff" wrote) Remember, Time flies like an arrow... Fruit Flies Like a Banana... Do all fruit flies have bannana ratings ? Only visual banana rules in most cases. I heard the IBR are a tad tough. The scarcity of tiny instrument training hoods or banana simulators makes it even more difficult. Apparently the FAA waived the requirement for a safety pilot. They feel there's a sufficient number of eyes in the cockpit already. Montblack The 200 eye rule? Dan, U.S. Air Force, retired |
#226
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Very long boring technical discussion of Lift Faries adn Thrust
If you feed the gremlins hot chili with lots of beans, the
rocket like exhaust provided lift and propulsion. "Jose" wrote in message om... | OK, Jose (just had to say that one) explain delta wings. | | http://ernest.isa-geek.org | | Oh, that's a tough one. Looking at the CAD drawings, I was at first | inclined towards the helicopter methods (it's ugly; the earth repels it) | but the composite of several deltas belies that simpleminded conclusion. | It resembles a bird in flight, maybe the air can be fooled into | thinking feathers are on their way... but that requires the air to do | the lifting. We know this can't be true. Obviously some out-of-the-box | thinking is in order. Fortunately I'm up to the task; people have been | trying to put me back in my box for ages. | | I am drawn to the 200 mph cruise speed; this is pretty fast for a single | engine prop plane. Maybe we are thinking this whole lift thing | backwards. An airplane's natural habitat is the air, and it =wants= to | go into the air. Very often what brings airplanes down are gremlins, | usually traced to the control system, the avionics, or even the pilot | himself. The object of the propeller is to shake the gremlins off the | plane and allow the plane to achieve its natural state. Since gremlins | are pretty fast, the airplane has to also move forward to keep them off | the plane. | | This is a homebuilt, which is the natural habitat of gremlins. So, it | has to move =very= fast in order to shake them off and keep them off. | | When you consider how hard gremlins are, and how soft feathers are, it's | a natural that feathers repel gremlins, and lift is sometimes | erroniously attributed to feathers. Many researchers have been down | this path, and there is a large body of accepted literature in support | of the feathers theory. At low speeds, the feather theory and the | gremlin theory give pretty much the same answers, but at high enough | speeds the relationship breaks down and the feather theory gives | erronious answers. This is where gremlin theory shines (it should be | noted that lift fairies are just gremlins gone bad). | | Gremlin theory holds the potential for explaining a lot of aviation that | is otherwise unexplainable, but experiments are difficult and fraught | with peril. However, I would be happy to conduct the appropriate | research. Send grant money to Jose, care of Usenet. | | Jose | -- | Money: what you need when you run out of brains. | for Email, make the obvious change in the address. |
#227
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Very long boring technical discussion of Lift Faries adn ThrustDemons....(NASA)
Apparently the FAA waived the requirement for a safety pilot. They feel
there's a sufficient number of eyes in the cockpit already. I thought that only applied to flying potatos. Jose -- Money: what you need when you run out of brains. for Email, make the obvious change in the address. |
#228
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lift, wings, and Bernuolli
You seem to think [rising air in front of the wing]
requires the presence of a ground. No, the rising air is caused by the high pressure in front of the wing, caused by the wing throwing the air down (and ahead). The ground is not required for that. However, the ground =is= required for there to be "no net vertical motion of air". Were there no ground, the air thrown down would not bounce back up. The molecules would bounce around the other molecules, dissipating the motion, but the downward momentum imparted by the wing to keep it in the air would be equal to the downward momentum the wing would have acquired had it not been flying. Although dissipated across the rest of the atmosphere, it would not "disappear". If air just "smooshed" away wings would not work to hold us up. If the wing is motionless, the air =does= just smoosh out of the way, unlike a runway, which will hold an airplane up. To hold an airplane up requires a special kind of motion - the kind that has the wing throwing air down. Landing gear does not (usually!) throw the runway down. If all this sounds a bit like perpetual motion, it's because we've left out some details. Yes. we're looking at the wing long after it has started up and everything is in steady state. Yes. This obscures the "what causes what" question. Essentially, it causes air to rise ahead and get pushed down. I see it as "it throws air down, which causes air in front to rise ahead". A wing not only keeps the plane away from the earth, it keeps the earth away from the plane. If you could measure the total forces on the earth due to everything on top of it (essentially making the earth a giant bathroom scale), the reading would not change when an airplane takes off. Even though the plane is not touching the earth, it is throwing air down at the earth, and that impact registers as weight. Agreed, but this does not help explain the basics of lift. It does belie the claim that there is no net downward momentum transfer. This is only true if the air is allowed to bounce against the earth, and as you stated earlier, the wing itself doesn't care about the earth. As far as the wing is concerned, it is throwing air down, dealing with the side effects (high pressure below and in front) and riding the wave that it =caused= by throwing the air down in the first place. If the earth were air-transparant, there would for sure be net downward momentum of air, equal to the momentum the wing would have acquired had it been freefalling (which is what flying is preventing). (from the next post) The upward momentum comes from the air molecules. There is no requirement for the ground. The approaching air molecules below the wing at higher pressure cause the air molecules ahead to try to escape. They preferentially escape upwards towards the approaching low pressure above the wing. Some upward momentum comes from there. But now that I think further, the downward momentum imparted by the wing to the air (which then bounces against the ground) only partly gets transferred back to the wing. Most of it misses the (relatively) small wing and simply causes a few more air molecules to escape the earth completely, or at least to rise higher before gravity reclaims them. This seems to imply that a wing would not produce lift, i.e., could not fly, without the ground. That's clearly incorrect. Agreed (that a wing could produce lift without the ground). However, without the ground, there would =not= be no net downward movement of air. (from the next post) [The Bernoulli effect] does explain [how the upwash starts] - by virtue of pressure differentials. Since pressure is derived from molecular collisions, and the Bernoulli effect is also ultimately derived from those same collisions, we are looking at the same thing, but in one case with a shortcut, the other case on a microscopic level. For those for whom the Bernoulli effect is a bit mysterious, or at least not obvious, looking at the newtonian microscopic version is instructive. For those comfortable with Bernoulli's equations, it provides a quick way to get numeric answers. Jose -- Money: what you need when you run out of brains. for Email, make the obvious change in the address. |
#229
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lift, wings, and Bernuolli
Two years ago when I was in college I used to read science journals for
fun... One particular, just published within the past two years (spring '04?) caught me. It discussed the Bernuolli theory of flight- and (if I recall) quite conclusively proved that one of the _fundamental_ assumptions of the Bernuolli theory- that air that travels path over the top of the wing is flowing appreciably faster than air that flows over the bottom- is simply incorrect in a compressible fluid.... Obviously, you should take this with a grain of salt because A- this is my first post on this board and B- I can't remember either the journal or the exact date... but take it for what its worth |
#230
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lift, wings, and Bernuolli
Most aerodynamic equations dealing with low subsonic speeds treat air as an
incompressible fluid because compressibility doesn't have a significant effect until you approach sonic speeds. Isn't compressiblity what causes pressure changes (absent temperature changes)? Jose -- Money: what you need when you run out of brains. for Email, make the obvious change in the address. |
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