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Fort St. John, BC
Joined Apr 2010
304 Posts
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Very well put Bruce. Excellent post.
I may have come across as one of the "Bernoulli Only" holdouts in some of these discussions, my apologies . That is not the case, as I have also learned over the last few years that what is happening around a wing is complex, and a lot is going on. I have somewhat pushed the "Bernoulli" concept in this discussion, not so much because that is the only thing I think to be correct, but rather to try and help fellas like Dave and Tim understand that there is so much more going on that air being pushed, and that the downwash you can "feel" is simply the result of the work done by the wing seconds before.Interesting fact, you can calculate lift by using either Bernoulli's equation OR Newton's, and arrive at the SAME result. One just calculates the pressure variations around an object using the local velocities (Bernoulli), and the other uses the velocity variations themselves. The neat thing is, by adding up the calculated pressure variations or by adding up the velocity variations, one can determine the total aerodynamic force on an object. The math doesn't lie. The math in fact proves both theories (when properly applied!!!) to be correct. There are some well known theories that are incorrect, and very few have tried to spout them in this discussion. Here are the biggest ones. Equal transit time-we all know now that this is bogus and why. Skipping Stone theory-basically says that it is simply the impact and deflection of air on the bottom of the wing that lifts. This has been proven wrong by many. Half Venturi Theory-clearly wrong because a wing is not a venturi nozzle, and as such works differently. Now, I will admit, I have been around long enough to have run the gamut of what I believe to be the right theory. I was initially taught the equal transit time/venturi theory. Then I was taught that it is simply the downwash "pushing back up" (Tim's favorite). None of these really made complete sense to me. For example, I realized that the downwash is behind and below the wing, and is no longer touching the wing so how can it apply a force to the wing anymore. I saw wind tunnel testing with smoke pulses which showed the "top airflow" going way faster than "equal transit" would suggest. So, I went off to do some more learning, and have since learned about flow turning, the correct application of Bernoulli's theorem, circulation. Now I know where the pieces all fit, and the elements I was missing for so long. Am I a disgruntled former equal transit guy desperately hanging on....no. I am happy to have opened my mind enough to see beyond that. I am happy to have opened my mind enough to accept that my original belief was flawed. I am happy to have opened my mind enough to LEARN. Thank You Ron. |
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The Willamette Valley, Oregon
Joined Dec 2008
730 Posts
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beveled-leading-edge airfoil
I was thinking about this some more-- re the second figure in post 725 -- the one with the bevel oriented in the way that appears disposed to push air upwards--
Strictly speaking, if we draw the chord line as running from the sharp pointy leading-edge back to the middle of the thick trailing-edge, then when the flat top and bottom surfaces are horizontal, the angle-of-attack as indexed to the chord line is slightly negative, as was already pointed out. (Assuming a horizontal free stream or relative wind.) However, the actual flow around the airfoil may not care so much about our somewhat arbitrary definition of the chord line / angle-of-attack. I initially guessed that in this orientation, the airfoil would produce some downlift, due to the "wedging" action of the front of the airfoil deflecting air upwards. But could it be that the air initially forced upwards at the leading-edge would produce a vacuum above the upper flat surface so that the airfoil would actually produce net uplift? If no, then never mind the next question. But if yes, then is there still eventually a downwash somewhere behind the airfoil? Maybe the inability of the primitive trailing-edge shape to generate a downwash is part of what precludes this airfoil from generating upward lift in this orientation relative to the flow? Yet, reflexed airfoils generate uplift-- and a downwash-- even with their reflexed trailing edges. I'm curious what other people think about whether this airfoil--the second figure in post 725-- might actually generate some uplift in the orientation where the top and bottom surfaces are completely parallel to the free stream or relative wind, due to the way the up-deflected air would curve over the flat top surface and possibly create suction and then possibly curve back down again in some sort of downwash. Of course, if we just had the wedgy front edge with no flat surface behind, just an immediate truncation to a vertical trailing edge, so that the airfoil looked like a right triangle as viewed from the side, then it seems obvious that the airfoil would generate downlift not uplift when the flat bottom surface was parallel to the free stream or relative wind. But maybe adding the flat top and bottom surfaces behind the wedge would change that around so that the airfoil does generate uplift? Has anybody seen actual results from anything like this explored with a wind tunnel or airfoil modeling program? Just curious.... Steve Quote:
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WAG #1 -
The section will have hysteresis in the CL versus Alpha curve as the "TE" moves back and forth between the upper and lower rear edge. WAG #2- There will be a range of angles where the section makes little or no lift as the "TE" bounces between the upper and lower rear edge. But outside that range it will have the normal slope of Cl versus Alpha. I would lean toward WAG#1 at low Reynolds numbers, but #2 at higher Reynolds numbers. Pat MacKenzie |
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Latest blog entry: er9x heli 450 heli set up (flybar)
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New York
Joined Oct 2008
4,653 Posts
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regarding the "refinements" of my diagram in post 725 i might be in a position to actually test the hypothesis of stardust, aeronaut, et al that the second produces more lift. if this turns out to be true then i must rethink my model of flight.
i do own a wind tunnel as described in the kf science thread . however it would take some time to set up again so there might be an easier test. i also have a couple microgram scales left over from my attempts at sub-gram planes. this weekend when i go home i will set up the two "chiselfoils" next to each other and see how they behave outside in wind. it would be an excellent way to kill time and avoid family members if nothing else. but remember, confuscious say: "man with open mind... sometimes end up with brain on the linoleum"
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Fort St. John, BC
Joined Apr 2010
304 Posts
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Dave, that would be neat if you did test it and let us know. I could be wrong with my hypothesis...I don't really know. I am just going with my gut feeling due to the fact that with it "right side up" in picture #2, it appears to have a really rough "chamber" like a normal airfoil. Of course that trailing edge could be the complete undoing of my theory
I do suspect that with the bevel up, any sort of positive angle of attack, even very slight, will be when we really see the lift. With it upside down, I think it would require more AoA, but I do not know for sure.Test it, lets find out
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