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#341
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![]() Jose wrote: Well I'm really hoping that Jose tries the card thumbtack soda straw thing. Actually, I did try it and it didn't "work" (that is, the card didn't float, which is what I think you expect to happen). I'm probably doing it wrong so I'll keep at it. When I get it to work, I'll report what happened and why (in newtonian terms) I think it did. Well after reading that I went and tried it myself and blew the card off the end of the straw so I must be doing it wrong too! I've known of this trick from childhood, (yes, I realize that some of you are thinking that could mean I first learned of it a few days ago) so by now I can't remember exactly how or even if I did it myself. Memory is like that. Could we reduce the crossposting? I think one newsgroup is more than sufficient. You chose, and I'll follow. -- FF |
#342
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![]() David CL Francis wrote: On Fri, 3 Mar 2006 at 05:30:06 in message .com, wrote: Newton had three laws of motion, you're ignoring the first. Is there a net change inmomentum of the fan? If not, how can there be a net change of momentum of the air? I am ignoring nothing. The above statement is wrong. You agree below that energy is put into the air. In the case of a fan that energy goes into increasing the velocity of the air. The rate of change of momentum (mass flow times velocity increase) produces forces that increase the momentum of the air. Energy changes momentum. Momentum destroyed turns back into energy. Well I'm sorry to see that I an not the only one who was confused on this issue. In Newtonian dynamics, energy is always conserved, mass is always conserved, and momentum is always conserved. When the momentum of a body changes, then energy is converted from one form to another, but the momentum of a body can only change by being transferred to another body. Momentum, like energy and mass, is never destroyed. I'm not fond of 'unit analysis' but consider that the units of energy and the units of momentum when reduced to fundamental units, are different. Conversion between the two is impossible. This argument is hung up on the idea that the air returns to a steady state eventually - which it does! But not quite back to where it was because of losses Nevertheless energy is lost and replaced by the engines of the aircraft. Yes, the airplane puts energy into the air. But in the closed system that consists of the airplane and the atmosphere, or the fan and the air in the room, momentum is conserved, just as mass and energy are. ... Air moving through the fan in one direction is offset by air moving around the fan in the other direction. The air slows down and looses energy and momentum far away from the aircraft - so what? Any small drop in pressure at the fan also reaches back and develops flow some way in front of the fan. For lift purposes it does not matter much. The air may or may not make its way back to the inlet again, some of it will. If only some of it does, then mass is not conserved. ALL of it, or rather an equivalent amount of displaced mass makes it back to the inlet of the fan. In order to make it back, it has velocity. for a rather slow fan in a rather small room the velocity through the fan may be ten times the average velocity of the air moving around the fan in the opposite direction. That's OK, but conservation of momentum requires that ten times the mass be moving in that opposite direction at one tenth the 'fan' velocity and a moments consideration should convince you that this also conserves mass. In te case of the aircraft, the fan is moving through the air so that when the air (or rather an equivalent displaced mass of air) returns to the inlet, the inlet has move on. In open air the volume of air moving around the fan is larger, but moving at a lower speed than the air moving through the fan so that the momenta of the flow in either direction is equal magnitude and opposite in direction to the flow in the other direction. Except for losses that occur due to friction and eddies that float away to dissipate themselves elsewhere. No. The turbulance dissipates energy, (that is to say it converts to heat) not momentum. Momentum is always conserved. -- FF |
#343
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![]() David CL Francis wrote: On Sat, 4 Mar 2006 at 05:38:33 in message .com, wrote: A more efficient wing will produce less downwash than a less efficient one, for the same lift. Yes but it still has to provide the exact same amount of rate of change of momentum. It tends to move a bigger mass of air slower but at the same momentum change. An infinite wing has no induced downwash. How is it supported? -- FF |
#345
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T o d d P a t t i s t wrote:
David CL Francis wrote: The nature of things is such that .... I've been following along (more or less :-) and chose David's post to jump in again, since, from experience I have great trust in any analysis by David. This thread, however, seems to wander all over the place. It looks like one participant will make one set of assumptions, then another will assume something different. I see the following discussions going on: 1) A pure thread related purely to lift and Bernoulli. In this thread, the subject matter is maximally simplified by a) using the standard Bernoulli assumptions, inviscid flow, incompressible, subsonic, etc., b) ignoring parasitic drag c) using 2-D flow (or equivalently infinite wing) assumptions and looking at steady state conditions. This gets to the heart of upwash and downwash. 2) The same as 1) above, but looking at 3-D flow. Now we have induced drag and the wing/fan produces a net motion of the air as it passes through. Much of this discussion seems focused on issues relating to closed systems (rooms, earth with ground, etc.) and what happens to the air, how big a system should be looked at, etc. 3) The same as 2) above, but with viscosity added so that the air ultimately stops its motion and heats up due to viscous losses. Quite honestly, for most of the posts here, I can't figure out what assumptions lie behind the comments. Todd, Your #2 and #3 is where I wanted to go with thus mess, Thankee. The down wash, being transferred from air near the wing to air far away from the wing... Air is quite springy stuff. The energy transfer is spread over an increasing area (or volume) and quickly reduced in magnitude - to the point where it is no longer detectable (without invoking Steven Hawking). For all practical purposes, that would seem to indicate that the "down flow" would not reach the ground before being dissipated into the larger air mass. (not arguing against the eventual contact with the entire surface of the planet. But that doesn't help us understand basic aerodynamics!) Only when the wing is close to the ground is the down wash detectable because it hasn't had time (or room) to be absorbed/dissipated. Now, while the above is obviously not true in the molecular sense, it may help us understand the practical parts better. Also, add #4? While we have been concentrating on the pressure side (bottom) of the wing, it's the upper surface that has the greater influence here. The only way I see of increasing pressure on the bottom surface is to increase speed (or density?). But the top side is where the pressure is reduced. And there are a lot of factors that effect that part. Thickness of the camber line is a big one. Deeper camber tends to cause a lower pressure on top - hence more lift for a given surface and speed. This is most often accomplished by deploying flaps. True they go down into the stream on the bottom side - and probably do to some degree - invoke some impact lift (pressure) on the bottom. But the curvature of the airfoil has increased also - and the camber line has deepened - and the apparent angle of attack has increased. These factors further decrease the lowered pressure field on top of the wing - WAY more than any useful increase in pressure below it. Lastly (for now), if we are indeed pressing down on the air below the wing, we are also Pulling Down on the air above it... The air below presses against the earth. As I've said before, that one is so obvious (that we stop looking?). But I think the low pressure field Above the wing is also pulling down on the atmosphere above it. While air pressure decreases with altitude me may think that the field above the wing dissipates quicker. Maybe true, BUT - the pressure field Above the wing is of much higher magnitude - so maybe not. Well, so much for my silly idea. I don't know how to analyze that one mathematically. I'd really like to see what the bigger brains can make of it. Richard |
#346
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Could we reduce the crossposting? I think one newsgroup is more
than sufficient. You chose, and I'll follow. It's being posted to piloting, homebuilt, and student. We could easily lose homebuilt. Should we lose student? Jose -- Money: what you need when you run out of brains. for Email, make the obvious change in the address. |
#347
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But in the closed system
that consists of the airplane and the atmosphere, or the fan and the air in the room, momentum is conserved, just as mass and energy are. Except that that's not a closed system. You need the earth to close the system. No earth but phantom gravity, and to conserve momentum, the air will continue to downflow, which is what would happen. If only some of it does, then mass is not conserved. ALL of it, or rather an equivalent amount of displaced mass makes it back to the inlet of the fan. No, mass can be conserved by having some of it pile up. This is in fact what happens. The pressure on one side of the room goes up. Guess why. In te case of the aircraft, the fan is moving through the air so that when the air (or rather an equivalent displaced mass of air) returns to the inlet, the inlet has move on. In the case of the aircraft (propeller), the air does not return to the inlet. It keeps on being blown back, since there is no wall to stop it. The momentum stays with the air and the earth (which starts to spin a little one way) until the airplane lands, and pushes the earth the other way. Momentum is always conserved. Jose -- Money: what you need when you run out of brains. for Email, make the obvious change in the address. |
#348
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An infinite wing has no induced downwash.
How is it supported? It has downwash. There is upflow in front of the wing, and downwash behind the wing. There is more downwash than upflow, this counteracts mg of the wing. There is no vortex at the wingtips (no wingtips) but there is a vortex in the direction of flight. Jose -- Money: what you need when you run out of brains. for Email, make the obvious change in the address. |
#349
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On Mon, 06 Mar 2006 17:56:42 -0800, fredfighter wrote:
Could you define downflow? It happens to geese as they exceede the speed of down. |
#350
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So, can we agree to the definition of downflow as a flow
of air toward the ground and define the induced downwash as the velocity of that air near the wing? I don't think this is a useful definition. Downflow and downwash are the actual movement of something, not merely the velocity of that movement. Plainly if air flows to the Earth and *stops* there as you wrote, it has displaced other air which flowed up to replace it, right? Only if pressure is constant. (at constant temperature). However, pressure does not remain constant. The pressure below the wing (and thus against the earth) increases due to the extra molecules that have been thrown down. Those molecules came from above the wing. The upper atmosphere =is= (slightly) depleted by the flight. Jose -- Money: what you need when you run out of brains. for Email, make the obvious change in the address. |
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