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![]() So, in between level flight and vertical flight, there must be a region where the wing lift is less than in level flight, right? I'm saying there is a continuous reduction in the lift the wing must provide as the climb angle increases. Only two months till March flying starts...gotta solve this problem while we still have time! -- Eric Greenwell - Washington State, USA (change ".netto" to ".us" to email me) Yeah....you got it......the lift is the cosine of the climb angle times the weight......... level.....0 degrees climb.. Cosine 0 = 1 so lift =100% glider weight 5 degree climb (reasonable tow climb angle) Cosine 5 = .996 so lift = 99.6% of glider's weight 45 degree climb (unlikely but just for demonstration) cosine 45 = . 707 so lift would be only 71% of glider's weight 90 degree climb Cosine 90 = o so lift would be zero. If we keep the airspeed constant, the drag shoud be constant....so the only variables are lift and thrust. as the thrust vector gets bigger, the direction of flgith gets steeper climb, and the lift vector gets smaller. Cookie |
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On Jan 5, 12:00*am, "
wrote: So, in between level flight and vertical flight, there must be a region where the wing lift is less than in level flight, right? I'm saying there is a continuous reduction in the lift the wing must provide as the climb angle increases. Only two months till March flying starts...gotta solve this problem while we still have time! -- Eric Greenwell - Washington State, USA (change ".netto" to ".us" to email me) Yeah....you got it......the lift is the cosine of the climb angle times the weight......... level.....0 degrees climb.. *Cosine 0 = 1 * *so lift =100% glider weight 5 degree climb (reasonable tow climb angle) * Cosine 5 = .996 * *so lift = 99.6% of glider's weight 45 degree climb (unlikely but just for demonstration) * cosine 45 = . 707 *so lift would be only 71% of glider's weight 90 degree climb * Cosine 90 = o * so lift would be zero. If we keep the airspeed constant, the drag shoud be constant....so the only variables are lift and thrust. * as the thrust vector gets bigger, the direction of flgith gets steeper climb, and the lift vector gets smaller. Cookie So according to you, pulling a load up a 10 degree slope should require less energy than pulling it on the flat! Anybody who has ever ridden a bicycle can tell you that is not the case! For a glider on tow, the combined vector of Lift and Thrust (provided by the tug) has to equal the combined vector of weight plus drag. As the glider is not rigidly connected to the tug, the extra lift has to come from its wings (at least at moderate climb angles). For a given airspeed this can only be done by increasing the angle of attack. Hence you are closer to the stalling angle. I am not sure that this is the correct explanation, but it seems to fit the observed facts. Derek C |
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At 09:25 05 January 2011, Derek C wrote:
On Jan 5, 12:00=A0am, " wrote: So, in between level flight and vertical flight, there must be a region where the wing lift is less than in level flight, right? I'm saying there is a continuous reduction in the lift the wing must provide as th= e climb angle increases. Only two months till March flying starts...gotta solve this problem while we still have time! -- Eric Greenwell - Washington State, USA (change ".netto" to ".us" to email me) Yeah....you got it......the lift is the cosine of the climb angle times the weight......... level.....0 degrees climb.. =A0Cosine 0 =3D 1 =A0 =A0so lift =3D100% glid= er weight 5 degree climb (reasonable tow climb angle) =A0 Cosine 5 =3D .996 =A0 =A0= so lift =3D 99.6% of glider's weight 45 degree climb (unlikely but just for demonstration) =A0 cosine 45 =3D . 707 =A0so lift would be only 71% of glider's weight 90 degree climb =A0 Cosine 90 =3D o =A0 so lift would be zero. If we keep the airspeed constant, the drag shoud be constant....so the only variables are lift and thrust. =A0 as the thrust vector gets bigger, the direction of flgith gets steeper climb, and the lift vector gets smaller. Cookie So according to you, pulling a load up a 10 degree slope should require less energy than pulling it on the flat! Anybody who has ever ridden a bicycle can tell you that is not the case! For a glider on tow, the combined vector of Lift and Thrust (provided by the tug) has to equal the combined vector of weight plus drag. As the glider is not rigidly connected to the tug, the extra lift has to come from its wings (at least at moderate climb angles). For a given airspeed this can only be done by increasing the angle of attack. Hence you are closer to the stalling angle. I am not sure that this is the correct explanation, but it seems to fit the observed facts. Derek C There are two components to the energy required in this case - (1) the energy required to overcome friction (which will indeed be slightly less, because of the reduced reaction force perpendicular to the slope), (2) the energy required to lift the load up a given height (NB this assumes that you are pulling the load at a constant speed - otherwise we would have to take kinetic energy into account as well) (1) can be reduced to (near) zero by reducing friction - using rollers for example, or in your alternative example of a bicycle - the equivalent effect in a glider on tow is reducing drag by careful streamlining or increased aspect ratio. (2) is fixed, and independent of speed or slope angle - raising any object a given height requires a fixed amount of energy (= mass*acceleration due to gravity*height change). Both components of the energy input are provided by you pulling the load up the slope. A glider on tow is exactly the same. The wing lift corresponds to the reaction force between the surface and the load. The drag corresponds to the friction force between the surface and the load. The tug corresponds to you pulling the load - and is doing all the work against friction and gravity. The lift/reaction force does no work - all it does is stop the load sinking into the ground or the glider falling further and further below the tug. Imagine a perfect glider with no drag* on tow (= pulling a load up the slope with no friction, or a perfect bicycle) ... what happens if you release the rope (or stop pedalling)? If the wing lift were responsible for the climb rate then you would carry on climbing until you ran out of atmosphere (or hill) * fortunately not currently available in the shops, since it would ruin the sport! |
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On Jan 5, 10:33*am, Doug Greenwell wrote:
At 09:25 05 January 2011, Derek C wrote: On Jan 5, 12:00=A0am, " wrote: So, in between level flight and vertical flight, there must be a region where the wing lift is less than in level flight, right? I'm saying there is a continuous reduction in the lift the wing must provide as th= e climb angle increases. Only two months till March flying starts...gotta solve this problem while we still have time! -- Eric Greenwell - Washington State, USA (change ".netto" to ".us" to email me) Yeah....you got it......the lift is the cosine of the climb angle times the weight......... level.....0 degrees climb.. =A0Cosine 0 =3D 1 =A0 =A0so lift =3D100% glid= er weight 5 degree climb (reasonable tow climb angle) =A0 Cosine 5 =3D .996 =A0 =A0= so lift =3D 99.6% of glider's weight 45 degree climb (unlikely but just for demonstration) =A0 cosine 45 =3D . 707 =A0so lift would be only 71% of glider's weight 90 degree climb =A0 Cosine 90 =3D o =A0 so lift would be zero. If we keep the airspeed constant, the drag shoud be constant....so the only variables are lift and thrust. =A0 as the thrust vector gets bigger, the direction of flgith gets steeper climb, and the lift vector gets smaller. Cookie So according to you, pulling a load up a 10 degree slope should require less energy than pulling it on the flat! Anybody who has ever ridden a bicycle can tell you that is not the case! For a glider on tow, the combined vector of Lift and Thrust (provided by the tug) has to equal the combined vector of weight plus drag. As the glider is not rigidly connected to the tug, the extra lift has to come from its wings (at least at moderate climb angles). For a given airspeed this can only be done by increasing the angle of attack. Hence you are closer to the stalling angle. I am not sure that this is the correct explanation, but it seems to fit the observed facts. Derek C There are two components to the energy required in this case - (1) the energy required to overcome friction (which will indeed be slightly less, because of the reduced reaction force perpendicular to the slope), (2) the energy required to lift the load up a given height (NB this assumes that you are pulling the load at a constant speed - otherwise we would have to take kinetic energy into account as well) (1) can be reduced to (near) zero by reducing friction - using rollers for example, or in your alternative example of a bicycle - the equivalent effect in a glider on tow is reducing drag by careful streamlining or increased aspect ratio. (2) is fixed, and independent of speed or slope angle - raising any object a given height requires a fixed amount of energy (= mass*acceleration due to gravity*height change). * Both components of the energy input are provided by you pulling the load up the slope. A glider on tow is exactly the same. *The wing lift corresponds to the reaction force between the surface and the load. *The drag corresponds to the friction force between the surface and the load. *The tug corresponds to you pulling the load - and is doing all the work against friction and gravity. *The lift/reaction force does no work - all it does is stop the load sinking into the ground or the glider falling further and further below the tug. Imagine a perfect glider with no drag* on tow (= pulling a load up the slope with no friction, or a perfect bicycle) ... what happens if you release the rope (or stop pedalling)? *If the wing lift were responsible for the climb rate then you would carry on climbing until you ran out of atmosphere (or hill) * fortunately not currently available in the shops, since it would ruin the sport! *- Hide quoted text - - Show quoted text - To take your points above in order: 1) Gliders, at least decent ones, are pretty low drag anyway. 2) Kinetic energy from the tug is being used to raise the mass of the glider up against gravity, so that it gains potential energy. Once that source of kinetic energy is removed (i.e. you pull off tow), the mass will stop going up and will start to descend due to the force of gravity acting downwards. To maintain forward momentum gliders have to continually descend through the air in which they are flying. Gliders appear to get near to the stall during slow aerotows at much greater than their normal free flight stalling airspeeds. I would suggest that aerotowing must increase the wing loading in some way. Derek C |
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At 17:23 05 January 2011, Derek C wrote:
On Jan 5, 10:33=A0am, Doug Greenwell wrote: At 09:25 05 January 2011, Derek C wrote: On Jan 5, 12:00=3DA0am, " wrote: So, in between level flight and vertical flight, there must be a region where the wing lift is less than in level flight, right? I'm saying there is a continuous reduction in the lift the wing must provide as th=3D e climb angle increases. Only two months till March flying starts...gotta solve this problem while we still have time! -- Eric Greenwell - Washington State, USA (change ".netto" to ".us" to email me) Yeah....you got it......the lift is the cosine of the climb angle times the weight......... level.....0 degrees climb.. =3DA0Cosine 0 =3D3D 1 =3DA0 =3DA0so lift = =3D3D100% glid=3D er weight 5 degree climb (reasonable tow climb angle) =3DA0 Cosine 5 =3D3D 996 = =3DA0 =3DA0=3D so lift =3D3D 99.6% of glider's weight 45 degree climb (unlikely but just for demonstration) =3DA0 cosine 45 =3D3D . 707 =3DA0so lift would be only 71% of glider's weight 90 degree climb =3DA0 Cosine 90 =3D3D o =3DA0 so lift would be zero. If we keep the airspeed constant, the drag shoud be constant....so the only variables are lift and thrust. =3DA0 as the thrust vector gets bigger, the direction of flgith gets steeper climb, and the lift vector gets smaller. Cookie So according to you, pulling a load up a 10 degree slope should require less energy than pulling it on the flat! Anybody who has ever ridden a bicycle can tell you that is not the case! For a glider on tow, the combined vector of Lift and Thrust (provided by the tug) has to equal the combined vector of weight plus drag. As the glider is not rigidly connected to the tug, the extra lift has to come from its wings (at least at moderate climb angles). For a given airspeed this can only be done by increasing the angle of attack. Hence you are closer to the stalling angle. I am not sure that this is the correct explanation, but it seems to fit the observed facts. Derek C There are two components to the energy required in this case - (1) the energy required to overcome friction (which will indeed be slightly less, because of the reduced reaction force perpendicular to the slope), (2) th= e energy required to lift the load up a given height (NB this assumes that you are pulling the load at a constant speed - otherwise we would have to take kinetic energy into account as well) (1) can be reduced to (near) zero by reducing friction - using rollers fo= r example, or in your alternative example of a bicycle - the equivalent effect in a glider on tow is reducing drag by careful streamlining or increased aspect ratio. (2) is fixed, and independent of speed or slope angle - raising any objec= t a given height requires a fixed amount of energy (=3D mass*acceleration d= ue to gravity*height change). =A0 Both components of the energy input are provided by you pulling the load up the slope. A glider on tow is exactly the same. =A0The wing lift corresponds to the reaction force between the surface and the load. =A0The drag corresponds = to the friction force between the surface and the load. =A0The tug correspon= ds to you pulling the load - and is doing all the work against friction and gravity. =A0The lift/reaction force does no work - all it does is stop th= e load sinking into the ground or the glider falling further and further below the tug. Imagine a perfect glider with no drag* on tow (=3D pulling a load up the slope with no friction, or a perfect bicycle) ... what happens if you release the rope (or stop pedalling)? =A0If the wing lift were responsibl= e for the climb rate then you would carry on climbing until you ran out of atmosphere (or hill) * fortunately not currently available in the shops, since it would ruin the sport! =A0- Hide quoted text - - Show quoted text - To take your points above in order: 1) Gliders, at least decent ones, are pretty low drag anyway. 2) Kinetic energy from the tug is being used to raise the mass of the glider up against gravity, so that it gains potential energy. Once that source of kinetic energy is removed (i.e. you pull off tow), the mass will stop going up and will start to descend due to the force of gravity acting downwards. To maintain forward momentum gliders have to continually descend through the air in which they are flying. Gliders appear to get near to the stall during slow aerotows at much greater than their normal free flight stalling airspeeds. I would suggest that aerotowing must increase the wing loading in some way. Derek C 2) that's exactly the point! The energy from the tug (not its kinetic energy, but the work done in pulling the tow rope) is being used to increase the potential energy of the glider ... the glider wing lift is not contributing to the increase in potential energy because it is perpendicular to the direction of motion and hence does no work. |
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On Wed, 5 Jan 2011 09:23:29 -0800 (PST), Derek C
wrote: Gliders appear to get near to the stall during slow aerotows at much greater than their normal free flight stalling airspeeds. I would suggest that aerotowing must increase the wing loading in some way. I have to admit that I didn't bother to read all the 120+ postings about this topic, so please forgive me if the things that I'm going to post have already been mentioned in this thread. The main factor for the seemingly odd flying characteristics behind the tow plane is the downwash of the latter. Let me explain: The downwash has a significant angle (the air is deflected downwards behind the tow plane's wing to up to four degrees!), but due to the larger span of the glider it only affects the inner part of the glider's wing. Therefore, if the glider if lying laterally displaced, only one wing is affected by the downwash of the tow plane - four degrees of AoA difference between left and right wing need a lot of aileron to correct. Likeise, if the glider is flying straight behind the tow plane, the downwash *decreases* the AoA of the affected inner part of the wing. Getting the nose up by pulling back will restore the lift of the inner part of the glider's wing, but now the outer parts of the wing have a much higher AoA than they have in free flight. Voila, meet the the conditions for poor alieron efficiency (high AoA!) and tip stall. The downwash is reduced by - wingloading of the tow plane - wing span of the tow plane In other words: The more a tow plane looks like a motorglider (say, a Dimona, or Katana Extreme), the less the flight characteristics of the glider are affected. Anyone who has ever been towed behind a motorglider or a microlight will testify that problems like poor lateral control or running out of elevator don't exist there, despite a far slower tow (55 kts compared to a typical 70-75 kts behind a typical tow plane like Reorqeur or Pawnee). One interesting fact: When Akaflieg Braunschweig flight-tested their SB-13 flying wing (with a back-swept wing), they encountered a nose-down momentum after lift-off that could not be recovered and usually lead to a crash immediately after lift-off. Explanation: The downwash of the tow plane (Robin Remorqeur) hit the inner part of the wing, decreasing its AoA (and lift) and therefore shifting the center of lift backwards due to the sweepback. Increasing the length of the tow rope helped. Greetings from a snowy Germany Andreas |
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On Jan 5, 6:52*pm, Andreas Maurer wrote:
On Wed, 5 Jan 2011 09:23:29 -0800 (PST), Derek C wrote: Gliders appear to get near to the stall during slow aerotows at much greater than their normal free flight stalling airspeeds. I would suggest that aerotowing must increase the wing loading in some way. I have to admit that I didn't bother to read all the 120+ postings about this topic, so please forgive me if the things that I'm going to post have already been mentioned in this thread. The main factor for the seemingly odd flying characteristics behind the tow plane is the downwash of the latter. Let me explain: The downwash has a significant angle (the air is deflected downwards behind the tow plane's wing to up to four degrees!), but due to the larger span of the glider it only affects the inner part of the glider's wing. Therefore, if the glider if lying laterally displaced, only one wing is affected by the downwash of the tow plane - four degrees of AoA difference between left and right wing need a lot of aileron to correct. Likeise, if the glider is flying straight behind the tow plane, the downwash *decreases* the AoA of the affected inner part of the wing. Getting the nose up by pulling back will restore the lift of the inner part of the glider's wing, but now the outer parts of the wing have a much higher AoA than they have in free flight. Voila, meet the the conditions for poor alieron efficiency (high AoA!) and tip stall. The downwash is reduced by - wingloading of the tow plane - wing span of the tow plane In other words: The more a tow plane looks like a motorglider (say, a Dimona, or Katana Extreme), the less the flight characteristics of the glider are affected. Anyone who has ever been towed behind a motorglider or a microlight will testify that problems like poor lateral control or *running out of elevator don't exist there, despite a far slower tow (55 kts compared to a typical 70-75 kts behind a typical tow plane like Reorqeur or Pawnee). One interesting fact: When Akaflieg Braunschweig flight-tested their SB-13 flying wing (with a back-swept wing), they encountered a nose-down momentum after lift-off that could not be recovered and usually lead to a crash immediately after lift-off. Explanation: The downwash of the tow plane (Robin Remorqeur) hit the inner part of the wing, decreasing its AoA (and lift) and therefore shifting the center of lift backwards due to the sweepback. Increasing the length of the tow rope helped. Greetings from a snowy Germany Andreas The two most scary aerotows I have ever had we 1) 2 up in a K13 behind a Rotax engined Falke at about 50 knots indicated airspeed 2) 2 up in a K13 behind a 150hp Piper Cub when we visited another site. This tug wasn't very powerful anyway and its pilot seemed to be trying to demonstrate how slowly he could fly. Indicated airspeed slightly under 50 knots. In both cases the glider wallowed about and it seemed very difficult to keep above the wake turbulence/prop wash. I have not been towed by a Dimona or Katana, but they seem to be a bit faster than the above, so may not give the same problems. I think the problem is more lack of airspeed than the type of the tug aircraft. Greetings from (now) snow free England, Derek C |
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I'm still not convinced by those who propose that the wings of the
glider generate no extra lift (or even generate less lift) when climbing on tow. We know that on a winch launch the glider climbs because the wings generate more lift than in level/descending flight. This must be true because there is nothing pulling it up. However, we are told that on aerotow the wings generate the same (or less) lift as in level/descending flight and the tug just pulls the glider up the slope. Does this mean that the tug climbs in the same way, i.e. wings generate only enough lift to carry the weight of the tug, and the prop drags the tug up the slope? This doesn't match what I've read about how aircraft work. L=W only in level flight. I think the tug's wings generate more lift than its weight, and thus it climbs. If this is true, the same must be true for the glider behind it. Bring on an aerodynamicist to show me I'm wrong. |
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On Wed, 5 Jan 2011 15:09:39 -0800 (PST), Derek C
wrote: Hi Derek, The two most scary aerotows I have ever had we 1) 2 up in a K13 behind a Rotax engined Falke at about 50 knots indicated airspeed Well... 50 kts is pretty slow... 2) 2 up in a K13 behind a 150hp Piper Cub when we visited another site. This tug wasn't very powerful anyway and its pilot seemed to be trying to demonstrate how slowly he could fly. Indicated airspeed slightly under 50 knots. Clear case: Low aspect ratio, wing loading twice of the ASK-13. How much above the stall speed of the Cub? 10 kts at maximum? Scary... I guess you had a word with the tow pilot afterwards. In both cases the glider wallowed about and it seemed very difficult to keep above the wake turbulence/prop wash. Yes, the typical situation for a very slow aerotow. I have not been towed by a Dimona or Katana, but they seem to be a bit faster than the above, so may not give the same problems. I think the problem is more lack of airspeed than the type of the tug aircraft. Well, I guess we both agree that this problem only manifests itself at the low-speed area of the envelope, don't we? The general consensus here in Germany (as well as my own experience) is that an aerotow behind a motorglider is *much* easier to control despite the fact that it takes place at 110-115 kph (60-63 kts) instead of the 130-140 kph (70-75 kts) that are typical for Morane MS 893 and Robin Remorqeur. Of course similar wing loadings result in similar reactions to gusts, which helps to follow the tow plane. Regards Andreas |
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On 1/5/2011 10:52 AM, Andreas Maurer wrote:
On Wed, 5 Jan 2011 09:23:29 -0800 (PST), Derek C wrote: Gliders appear to get near to the stall during slow aerotows at much greater than their normal free flight stalling airspeeds. I would suggest that aerotowing must increase the wing loading in some way. I have to admit that I didn't bother to read all the 120+ postings about this topic, so please forgive me if the things that I'm going to post have already been mentioned in this thread. The main factor for the seemingly odd flying characteristics behind the tow plane is the downwash of the latter. Let me explain: The downwash has a significant angle (the air is deflected downwards behind the tow plane's wing to up to four degrees!), but due to the larger span of the glider it only affects the inner part of the glider's wing. (big snip) Andreas' posting was the clearest description for me of the wake effect. I'd love to see "3-D" perspective view of the wake behind a towplane, as I doubt I'm visualizing it well. -- Eric Greenwell - Washington State, USA (change ".netto" to ".us" to email me) |
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