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#22
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![]() J. Nieuwenhuize wrote: Papa3 schreef: Not quite along the quantitative lines we've been following, but it is pretty amazing to see how little the average pilot pays attention to cg and its effect on performance in their common flight attitudes. Ask some of the stockier pilots in your club to "trim for 55kts" (or some similar, reasonable speed) and leave the trim there. On landing, take a look at the elevator. I would wager at least one in two is at or near full up deflection. Assuming this puts them at the outside edge of the Cl ranges discussed, that's an awful lot of downforce being produced (1/2RhoV2ClS IIRC). Aside from the "negative lift", what's the typical induced drag that goes along with this? I'm assuming it's pretty high given the relatively low aspect ratio, especially of older models... P3 Not quite correct actually; induced drag is proportional to the squared lift coefficient and inversely proportional to the aspect ratio. Knowing that the lift coefficient of your stabilizer is always lower (main wing stalls first) induced drag is fairly low and certainly lower than the weight penalty of a heavier tail. Also bear in mind that while thermalling a glider you're flying at a relatively moderate angle of attack, not at stall speed. (At the Discus for example you're flying about 30% above stall speed in a thermal) This is different in landing... Nevertheless I usually fly at the back end of the cg-range; mainly because of the difficulty to achieve "natural" ballast ;-) Aha! Now things make much more sense! Being one of those "stockier" types I find a fairly different experience in the 304C that some of us fly. For me, full back trim results in about 50 kts (nominal landing speed), and thermalling beyond about 30 degrees of bank seems to massively increase the sink rate. However, in an L33 full back trim flies about 5 kts slower and it loves steep banks with me. Other pilots in the 304 (at the rearward end of the CG range) report performance much more like I get with the L33. It must be that the elevator design is different... |
#23
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mattm wrote:
Being one of those "stockier" types I find a fairly different experience in the 304C that some of us fly. For me, full back trim results in about 50 kts (nominal landing speed), and thermalling beyond about 30 degrees of bank seems to massively increase the sink rate. However, in an L33 full back trim flies about 5 kts slower and it loves steep banks with me. Other pilots in the 304 (at the rearward end of the CG range) report performance much more like I get with the L33. It must be that the elevator design is different... Another data point... I'm a 304C pilot who lost a substantial amount of ballast about a year and a half ago. I now fly close to the rear CG limit and the ship climbs amazingly well with a 45% bank in thermals. I thermal around 50-52 knots dry and about 60-62 knots wet (about 20 pounds under max gross). I was a little surprised by the difference that 50 pounds less in the cockpit made, but I'm rather happy with the results. Jeremy |
#24
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Thanks. I have to think this over a bit - it's been quite a while
since I played with these formulas :-) Couple of questions below: J. Nieuwenhuize wrote: Not quite correct actually; induced drag is proportional to the squared lift coefficient and inversely proportional to the aspect ratio. Knowing that the lift coefficient of your stabilizer is always lower (main wing stalls first) ... Okay with the first point (relationship of induced drag to CL and Di) and proportionally much smaller contribution of tail vs. wing. induced drag is fairly low and certainly lower than the weight penalty of a heavier tail. Are you suggesting that a tail with a higher aspect ratio would be, by definition, heavier or talking about the tactic of putting additional weight in the tail to move the CG? Good stuff. P3 |
#25
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Matt -
More than likely, the issue is that your weight is closer to gross and closer to the forward end of the CG envelope in the 304C. Both of these things would favor a higher stalling speed and poorer steep-turn performance (because the wings and tail are more heavily loaded in a turn, and because the slow flight also necessitates more trim/elevator deflection - resulting in increased drag). Take care, --Noel mattm wrote: Being one of those "stockier" types I find a fairly different experience in the 304C that some of us fly. For me, full back trim results in about 50 kts (nominal landing speed), and thermalling beyond about 30 degrees of bank seems to massively increase the sink rate. However, in an L33 full back trim flies about 5 kts slower and it loves steep banks with me. Other pilots in the 304 (at the rearward end of the CG range) report performance much more like I get with the L33. It must be that the elevator design is different... |
#26
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Papa3 schreef:
induced drag is fairly low and certainly lower than the weight penalty of a heavier tail. Are you suggesting that a tail with a higher aspect ratio would be, by definition, heavier or talking about the tactic of putting additional weight in the tail to move the CG? Good stuff. P3 Heavier construction. Heavier stabilizer means larger moment of inertia, higher torsional stiffness of the tail... leading to maybe 4 or 6 times as much "extra" construction weight as only the extra stabilizer weight. And you have to correct that with even more wing surface ;-) |
#27
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![]() J. Nieuwenhuize wrote: Papa3 schreef: induced drag is fairly low and certainly lower than the weight penalty of a heavier tail. Are you suggesting that a tail with a higher aspect ratio would be, by definition, heavier or talking about the tactic of putting additional weight in the tail to move the CG? Good stuff. P3 Heavier construction. Heavier stabilizer means larger moment of inertia, higher torsional stiffness of the tail... leading to maybe 4 or 6 times as much "extra" construction weight as only the extra stabilizer weight. And you have to correct that with even more wing surface ;-) Okay. To summarize your comments, the induced drag created by a stabilizer, even one operating at it's maximum (negative) Cl is relatively insignificant to the overall system efficiency. Did I get that right? Further, the structural considerations involved in building a higher aspect ratio tail would more than negate any slight decrease in drag. Also correct? Ahh, engineering compromises... I'd still be interested to see the numbers in terms of total drag on a given elevator operating at basically neutral trim vs. max up elevator. I guess I could sit down and do this, but it would mean pulling out some old text books that are awfully dusty right now :-) P3 |
#28
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*sigh* I had a very eloquent rant that I tried to post yesterday; but
for some reason it isn't showing up. I don't have the heart to try to reconstruct the entire rant, so I'll summarize: It seems there only two types of aircraft design books/articles: 1) Those that use ballpark figures and rely on historical examples of existing designs --OR-- 2) Those designed for engineers, with accurate but very complicated equations in Engineering notation that are indecipherable by the layman. Is it so hard to bridge the gap, for those of us that can't decode long strings of Greek letters into practical terms? I'm a computer professional, so I'd like to think I'm decent with math - but even 3d-graphics-programming has only required a solid grasp of algebra, trigonometry, and matrix math. The calculus and short-handed equations in many technical articles might as well be modern art on the page, for all I can tell. Many factors are often not defined by the author - who assumes the reader knows what they mean; even those targetted at "first time" designers! In terms of this tail issue, for example, is it really too hard to put it in terms like... "At speed ____ your design would have to pull a Cl of ___, requiring an angle of attack of ____. With the airfoil chosen, the coefficient of moment in this situation is ____. Applying equation _____________ to that and the Center-of-Gravity at ___, you end up with a total pitching force of ____. This must be counter-balanced by the tail producing an equal and opposite amount of force. Given the wing downwash effects and angle of incidence, the horizontal stabilizer is flying at an angle of attack of ____. So to provide enough force, the coefficient of lift must be ____ and/or the tail area must be ____ (assuming no elevator deflection). " I mean, am I missing something; or can't you put it into those simple and direct terms? I guess I've left out is the stability margin - but that's got to be something you can factor into the above process, right? Surely such a direct-calculation approach would require iterative design to find the optimal solution in all flight regimes - but even that is better for the amateur designer than an inverse solution that cannot be solved by the average joe! Somebody please feel free to step up and slap me if I'm way off base here.... I've got a good wing design, a good fuselage, and a good vertical tail; all with numbers that I can calculate and verify - but I've been wrestling with this horizontal tail issue for a week and its really getting to me! Thanks, take care, --Noel |
#29
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![]() noel.wade wrote: *sigh* I had a very eloquent rant that I tried to post yesterday; but for some reason it isn't showing up. I don't have the heart to try to reconstruct the entire rant, so I'll summarize: It seems there only two types of aircraft design books/articles: 1) Those that use ballpark figures and rely on historical examples of existing designs --OR-- 2) Those designed for engineers, with accurate but very complicated equations in Engineering notation that are indecipherable by the layman. Is it so hard to bridge the gap, for those of us that can't decode long strings of Greek letters into practical terms? I'm a computer professional, so I'd like to think I'm decent with math - but even 3d-graphics-programming has only required a solid grasp of algebra, trigonometry, and matrix math. The calculus and short-handed equations in many technical articles might as well be modern art on the page, for all I can tell. Many factors are often not defined by the author - who assumes the reader knows what they mean; even those targetted at "first time" designers! In terms of this tail issue, for example, is it really too hard to put it in terms like... "At speed ____ your design would have to pull a Cl of ___, requiring an angle of attack of ____. With the airfoil chosen, the coefficient of moment in this situation is ____. Applying equation _____________ to that and the Center-of-Gravity at ___, you end up with a total pitching force of ____. This must be counter-balanced by the tail producing an equal and opposite amount of force. Given the wing downwash effects and angle of incidence, the horizontal stabilizer is flying at an angle of attack of ____. So to provide enough force, the coefficient of lift must be ____ and/or the tail area must be ____ (assuming no elevator deflection). " I mean, am I missing something; or can't you put it into those simple and direct terms? I guess I've left out is the stability margin - but that's got to be something you can factor into the above process, right? Surely such a direct-calculation approach would require iterative design to find the optimal solution in all flight regimes - but even that is better for the amateur designer than an inverse solution that cannot be solved by the average joe! Somebody please feel free to step up and slap me if I'm way off base here.... I've got a good wing design, a good fuselage, and a good vertical tail; all with numbers that I can calculate and verify - but I've been wrestling with this horizontal tail issue for a week and its really getting to me! Thanks, take care, --Noel I have wrestle with that my self. I had no background in it when I started and still my knowledge is very narrow. But over 25 years I have bulldoze my way through. 17 years ago things started slowly changing for me, aside for rudimentary formulas. With the advent of ACAD and aerodynamic software as well as the internet, things started to fall into place. To day I use a 2D and a 3D software. Both of them are commercial programs. Combined with subscriptions to Technical Soaring and other publications I slowly started to make sense of it. The results were, two projects that were limited to changing airfoils. My new project starts from scratch. For it to be fine tuned a rely on the 3D software, as well as what is out there on the flight line. Udo PS. Go to the Glider Tech Group, a Yahoo group. I just listed a file comparing the DU13.7-86 vs. the FX71-150/30 for two speeds with values that are appropriate for those speeds |
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