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#11
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I like Mike Borgelt's approach. Collect the data for your glider during a couple test flight and enter the data into his free software to determine the quadratic equation A, B, and C values.
http://www.borgeltinstruments.com/so...ies.html#Polar "Mike" wrote in message ... Paul, Actually I entered the data in your conversion spreadsheet as a Cambridge Polar File and then posted the resulting See You data points. Using the best L/D and speed and the 2 meter sink rate at speed, when I checked the resulting generated polar, it was pretty close to the Johnson measured polar. Close enough that I would fly with it. Best L/D was actually measured at 36.8 @ 92 kph and the 2 meter sink speed @ 148kph. Test weight was 315.2 kg. On Apr 1, 6:13 am, "Paul Remde" wrote: Hi Mike, Those numbers look like they may be correct. Hopefully, when you enter those numbers into SeeYou Mobile, it displays the correct glide ratio and other data. If you send me the 3 airspeed and sink rate pairs (with the lowest speed one at the best L/D speed). I would be glad to put them onto my Polars web site. I will also need to know the wing loading at which the numbers were obtained. Best Regards, Paul Remde "Mike" wrote in message ... On Mar 31, 9:50 pm, Randy wrote: Mike, I do not understand what to enter on the SeeYou Mobile Polar setting page. There are six available boxes. Name Sgs 1-35 Min Load - 6.38 Stall Speed - 43 mph a - b - c - I do not know what goes in a, b, c boxes. Even when I look at the polars for my own glider, I do not understand what the numbers mean. If I entered the data correctly into Paul's spreadsheet, and the conversion from a cambridge file to a See you file is correct, the data supplied by Dick Johnson's actual test polar at his weight is ... a= 2.1 b= -4.4 c= 3.2 |
#12
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On Apr 1, 7:19*am, Andy wrote:
On Apr 1, 6:13*am, AGL wrote: On Mar 31, 10:14*pm, Randy wrote: A friend of mine has a Schweizer 1-35 and we need to find the correct polar numbers to put into his SeeYou Mobile program. Check which of the three models of 1-35 it is. * Numbers for a "C" that doesn't retract are different. There are very clear graphs of the polars updated in 2002 in the latest Flight Manual. * There are not too many "A" models, so I'm not sure about that one since the Flight Manual doesn't specify differences in the polar. *Seehttp://members.goldengate.net/~tmrent/soar/docs/135/types135.htm I use the following numbers are for a "regular" 1-35 with a retractable wheel. The numbers are good for final glides from 5 nm out, dry @ 685# * * (We have low cloud bases here) * I use "SoarPilot," but a polar is a polar. *Your mileage may vary given the wide range of wing finishes I've seen on 1-35's. 53 kts *-1.42 kts 82 kts -3.5 kts 109 kts -7.58 Be careful with that "stall speed" number. *It can vary from 30 kts to 56 kts, depending on model, flap settings, and ballast. *Check page 10 of the Flight Manual. ms Wow - be careful what you put into your glide calculator. You have a lot riding on it, like your butt. First of all, units matter. SeeYou accepts as settings a variety of units for airspeed and vertical speed. The manual doesn't appear to say this explicitly, but I believe you need to enter coefficients for the polar derived from the same system of units you specify in SeeYou's settings. Second, a,b and c are the coefficients of a quadratic curve that is a best fit for the glider polar. *You generate this quadratic by picking three points off the polar - preferably for speeds that you typically fly. Best L/D, medium cruise, fast cruise, for example. Pick speeds for no water ballast - the computer can figure out the ballast effects. The three pairs of speeds, plugged into the generic quadratic formula y=ax^2+bx+c will give you three equations with three unknowns, which you can solve using high school algebra. I suspect this is what Paul's spreadsheet does. If you are using knots as the units for airspeed and vertical speed then the above pairs of polar coordinates yield: a * * * -0.0014 b * * * 0.1197 c * * * -3.7796 This gives a polar with a best L/D of 37 at 52 knots, an L/D of 25 at 80 knots and an L/D of 17 at 100 knots. You should check the calculations and figures yourself to ensure they are correct as I have not looked at a polar directly and it's your friend's but that will end up short of the airfield on final glide if there are errors in the data or the math. Hope that helps, 9B While the units of sink and speed matter the convention is to use the a, b, c quadratic coefficients with sink in m/s and speed in km/h. Changing the units that SeeYou Mobile or SeeYou uses won't change the values of a, b or c that you need to enter. The Polar dialog in SeeYou (not SeeYou Mobile) has a little calculator built in where you can enter sink vs. speed numbers and derive a, b, c coefficients or visa versa. There the sink/speed numbers are dependent on the display units selected but SeeYou must be internally converting to standard units to calculate the a, b, c. Andrej can kick me if I'm wrong. Paul's spreadheet is very handy. Darryl Darryl |
#13
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On Apr 1, 11:40*am, Darryl Ramm wrote:
On Apr 1, 7:19*am, Andy wrote: On Apr 1, 6:13*am, AGL wrote: On Mar 31, 10:14*pm, Randy wrote: A friend of mine has a Schweizer 1-35 and we need to find the correct polar numbers to put into his SeeYou Mobile program. Check which of the three models of 1-35 it is. * Numbers for a "C" that doesn't retract are different. There are very clear graphs of the polars updated in 2002 in the latest Flight Manual. * There are not too many "A" models, so I'm not sure about that one since the Flight Manual doesn't specify differences in the polar. *Seehttp://members..goldengate.net/~tmrent/soar/docs/135/types135.htm I use the following numbers are for a "regular" 1-35 with a retractable wheel. The numbers are good for final glides from 5 nm out, dry @ 685# * * (We have low cloud bases here) * I use "SoarPilot," but a polar is a polar. *Your mileage may vary given the wide range of wing finishes I've seen on 1-35's. 53 kts *-1.42 kts 82 kts -3.5 kts 109 kts -7.58 Be careful with that "stall speed" number. *It can vary from 30 kts to 56 kts, depending on model, flap settings, and ballast. *Check page 10 of the Flight Manual. ms Wow - be careful what you put into your glide calculator. You have a lot riding on it, like your butt. First of all, units matter. SeeYou accepts as settings a variety of units for airspeed and vertical speed. The manual doesn't appear to say this explicitly, but I believe you need to enter coefficients for the polar derived from the same system of units you specify in SeeYou's settings. Second, a,b and c are the coefficients of a quadratic curve that is a best fit for the glider polar. *You generate this quadratic by picking three points off the polar - preferably for speeds that you typically fly. Best L/D, medium cruise, fast cruise, for example. Pick speeds for no water ballast - the computer can figure out the ballast effects. The three pairs of speeds, plugged into the generic quadratic formula y=ax^2+bx+c will give you three equations with three unknowns, which you can solve using high school algebra. I suspect this is what Paul's spreadsheet does. If you are using knots as the units for airspeed and vertical speed then the above pairs of polar coordinates yield: a * * * -0.0014 b * * * 0.1197 c * * * -3.7796 This gives a polar with a best L/D of 37 at 52 knots, an L/D of 25 at 80 knots and an L/D of 17 at 100 knots. You should check the calculations and figures yourself to ensure they are correct as I have not looked at a polar directly and it's your friend's but that will end up short of the airfield on final glide if there are errors in the data or the math. Hope that helps, 9B While the units of sink and speed matter the convention is to use the a, b, c quadratic coefficients with sink in m/s and speed in km/h. Changing the units that SeeYou Mobile or SeeYou uses won't change the values of a, b or c that you need to enter. The Polar dialog in SeeYou (not SeeYou Mobile) has a little calculator built in where you can enter sink vs. speed numbers and derive a, b, c coefficients or visa versa. There the sink/speed numbers are dependent on the display units selected but SeeYou must be internally converting to standard units to calculate the a, b, c. Andrej can kick me if I'm wrong. Paul's spreadheet is very handy. Darryl Darryl Good catch Darryl. On that basis I believe the values a a -0.00015 b 0.0125 c -0.5905 Of course it's RAS so you should do your own math. 9B |
#14
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On Apr 1, 9:15*am, "Wayne Paul" wrote:
I like Mike Borgelt's approach. *Collect the data for your glider during a couple test flight and enter the data into his free software to determine the quadratic equation A, B, and C values.http://www.borgeltinstruments.com/so...ies.html#Polar "Mike" wrote in ... Paul, Actually I entered the data in your conversion spreadsheet as a Cambridge Polar File and then posted the resulting See You data points. Using the best L/D and speed and the 2 meter sink rate at speed, when I checked the resulting generated polar, it was pretty close to the Johnson measured polar. Close enough that I would fly with it. Best L/D was actually measured at 36.8 @ 92 kph and the 2 meter sink speed @ 148kph. Test weight was 315.2 kg. On Apr 1, 6:13 am, "Paul Remde" wrote: Hi Mike, Those numbers look like they may be correct. Hopefully, when you enter those numbers into SeeYou Mobile, it displays the correct glide ratio and other data. If you send me the 3 airspeed and sink rate pairs (with the lowest speed one at the best L/D speed). I would be glad to put them onto my Polars web site. I will also need to know the wing loading at which the numbers were obtained. Best Regards, Paul Remde "Mike" wrote in message ... On Mar 31, 9:50 pm, Randy wrote: Mike, I do not understand what to enter on the SeeYou Mobile Polar setting page. There are six available boxes. Name Sgs 1-35 Min Load - 6.38 Stall Speed - 43 mph a - b - c - I do not know what goes in a, b, c boxes. Even when I look at the polars for my own glider, I do not understand what the numbers mean. If I entered the data correctly into Paul's spreadsheet, and the conversion from a cambridge file to a See you file is correct, the data supplied by Dick Johnson's actual test polar at his weight is ... a= 2.1 b= -4.4 c= 3.2 I just want to point out that if you have SeeYou Mobile you probably have SeeYou and then all you need are sink numbers at three reasonably spaced speeds and SeeYou (the desktop program not SeeYou Mobile) can create the polar itself from these. For sake of argument lots lock in on a fixed set of numbers and see what the a,b,c parameters for SeeYou Mobile turn out to be. Lets use the sink measurments of.... Airspeed Sink 53kts 1.42kts 82kts 3.50kts 109kts 7.58kts Assume these measurements made at a weight of 685lb and a wing area of 103.8 ft2 (from wikipedia) gives a wing loading "as flown" of 6.60lb/ ft2. The wing loading is not needed to calculate the a b c parameters but it does affect how they scale at other weights. In SeeYou and SeeYou Mobile the "minimum weight" is a bit of a misnomer - it is really the weight as flown that gives the sink numbers we are using. I think this leads to some common mistakes. By just working with wing- loading SeeYou and SeeYou Mobile easily scales the polar for different wing loadings. So now in SeeYou (not SeeYou Mobile) go to ToolsPolar and click the "Add" button. SeeYou will create a new polar with Glider Type called "default". Change the Glide Type field to "SGS 1-35" or whatever you want. In the minimum load field type "6.60lb/f2" -- Enter exactly what is between the quotation marks. SeeYou is smart and will let you mix and match different units you want in all these fields and just entering the right unit names after the numeric values. In the stall speed field type "37kts" (but stall speed does not get used to calculate the a, b, c parameters.). In the 1) row type "53kts" in the first field and "1.42kts" (not "-1.42kts" and not "1.42" - since SeeYou may assume different units). Then in the 2) row fields type "82kts" and "3.5kts" and in the 3) row type "109kts" and "7.58kts" As you enter these data pairs the Polar dialog box calculates the a, b and c polar coefficients as a 2.12491 b -3.3237 c 1.94564 (extra silly precision shown to show exactly what I get). And Andy I should have made it clearer that the a, b, c coefficients assume speed in km/h and sink in m/s but the convention here is to scale the speed in km/h divided by 100 to get more convenient coefficients. Paul Remde's polar calculating spreadsheets in the "Polar Adjustment and Conversion Spreadsheets" section at http://www.cumulus-soaring.com/polars.htm will do these same calculations and have the benefit of showing nice graphs etc. But I wanted to point out SeeYou can do a lot itself. The SeeYou polar UI us a bit confusing at first until you realize you can enter the units with the numbers. Darryl |
#15
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I want to thank everyone for their help with my
question. It is very much appreciated! Randy |
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