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#1
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On May 20, 7:47*pm, Ramy wrote:
This is theoratically correct, but I found out more often than not that the lift right below cloudbase (keeping FAR clearance of course) is stronger and more widespread than couple of thousands below, which allows much faster speed without loosing altitude. Ramy Okay, I broke out the polar and did some simple math for a "typical" scenario. Take a cloud street that is 16 miles long with 4 knot average thermal strength and 10 knot peak thermal strength. Pilot A pulls back to 70 knots and climbs in the average lift (2.4 knot net climb rate). It takes him 14 minutes to reach the end of the street and he has gained 3,360 feet. Pilot B climbs in the strong core, taking 30 seconds to center and achieving a 8.4 knot average climb rate thereafter (note the higher sink rate for circling flight). After 5 minutes he has climbed 4,250 feet. He then cruises at 110 knots for 16 miles, giving up 890 feet in the process. Both pilots arrive at the end of the cloud street at the same time and altitude. Conclusion: stopping to circle in a thermal weaker than 10 knots puts you behind the pilot who climbs straight ahead. Taking Ramy's point about stronger lift closer to cloudbase into account, let's assume you find an average 5 knots after a circling climb instead of 4 knots for climbing straight ahead. In this case you need a minimum 8.3 knot thermal before stopping to circle makes sense. If you assume 6 versus 4 knots average lift cruising closer to cloudbase then you only need a 6.6 knot thermal - but that starts to feel like a pretty strong thermal strength gradient with altitude. This analysis doesn't take into account a slight true airspeed advantage for the pilot who climbs first due to his higher average altitude. Overall, I think this confirms that it pays to avoid circling under a cloudstreet for anything but the very strongest lift. This is even more true if you are heading into an upwind turnpoint. 9B |
#2
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On May 22, 9:02*am, Andy wrote:
On May 20, 7:47*pm, Ramy wrote: Overall, I think this confirms that it pays to avoid circling under a cloudstreet for anything but the very strongest lift. *This is even more true if you are heading into an upwind turnpoint. 9B BTW, I'm not arguing against McCready theory. However, I do think you need to account for the overall conditions and things like TAS and lift strength versus altitude, thermal centering time, winds an proximity of turnpoints. Not all of those factors are accounted for in the base theory and some of the outcomes are quite a bit more extreme that you might expect. See BB's analysis of upwind versus downwind turnpoints as an example. Using that advice gained me something like 4 mph on a long task where the first turn was into a 30 mph headwind. 9B |
#3
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On May 22, 10:02*am, Andy wrote:
On May 20, 7:47*pm, Ramy wrote: This is theoratically correct, but I found out more often than not that the lift right below cloudbase (keeping FAR clearance of course) is stronger and more widespread than couple of thousands below, which allows much faster speed without loosing altitude. Ramy Okay, I broke out the polar and did some simple math for a "typical" scenario. Take a cloud street that is 16 miles long with 4 knot average thermal strength and 10 knot peak thermal strength. Pilot A pulls back to 70 knots and climbs in the average lift (2.4 knot net climb rate). It takes him 14 minutes to reach the end of the street and he has gained 3,360 feet. Pilot B climbs in the strong core, taking 30 seconds to center and achieving a 8.4 knot average climb rate thereafter (note the higher sink rate for circling flight). After 5 minutes he has climbed 4,250 feet. He then cruises at 110 knots for 16 miles, giving up 890 feet in the process. Both pilots arrive at the end of the cloud street at the same time and altitude. Conclusion: stopping to circle in a thermal weaker than 10 knots puts you behind the pilot who climbs straight ahead. Taking Ramy's point about stronger lift closer to cloudbase into account, let's assume you find an average 5 knots after a circling climb instead of 4 knots for climbing straight ahead. In this case you need a minimum 8.3 knot thermal before stopping to circle makes sense. If you assume 6 versus 4 knots average lift cruising closer to cloudbase then you only need a 6.6 knot thermal - but that starts to feel like a pretty strong thermal strength gradient with altitude. This analysis doesn't take into account a slight true airspeed advantage for the pilot who climbs first due to his higher average altitude. Overall, I think this confirms that it pays to avoid circling under a cloudstreet for anything but the very strongest lift. *This is even more true if you are heading into an upwind turnpoint. 9B Andy, Ok, I tried to take your scenario and put some numbers to it. I used the polar for an LS-4 (no DG 300 numbers handy). I Assumed 4 knots of lift along the 16 mile street and a 10 knot thermal at the end. The glider starts at 3000 feet below the clouds and ends at cloud base at the end of the street (similar to Reichmann). I added 20 seconds of centering penalty and a 20% higher sink rate while thermalling. Don't know if the table will get scrambled on most viewers but here is the data. It shows that flying near MC speeds is optimum as long as you can find the strong thermal ahead. If you expect to find a strong thermal ahead don't slow down to minimum sink speeds. I think I will use a MC speed of about (expected climb from thermal - average street strength) as a good compromise MC setting to fly. In this case 10 - 4 = MC setting of 6 to fly. MC miles/hr time minutes Average speed 45 14.99 64.05 50 14.53 66.06 55 14.14 67.89 0 60 13.80 69.56 1 68 13.34 71.96 2 76 13.18 72.84 3 84 12.62 76.05 4 90 12.33 77.86 5 94 12.18 78.80 6 98 12.07 79.55 7 104 11.95 80.35 8 112 11.87 80.85 9 118 11.87 80.88 10 124 11.90 80.66 TT |
#4
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On May 26, 1:09*pm, Tim Taylor wrote:
On May 22, 10:02*am, Andy wrote: On May 20, 7:47*pm, Ramy wrote: This is theoratically correct, but I found out more often than not that the lift right below cloudbase (keeping FAR clearance of course) is stronger and more widespread than couple of thousands below, which allows much faster speed without loosing altitude. Ramy Okay, I broke out the polar and did some simple math for a "typical" scenario. Take a cloud street that is 16 miles long with 4 knot average thermal strength and 10 knot peak thermal strength. Pilot A pulls back to 70 knots and climbs in the average lift (2.4 knot net climb rate). It takes him 14 minutes to reach the end of the street and he has gained 3,360 feet. Pilot B climbs in the strong core, taking 30 seconds to center and achieving a 8.4 knot average climb rate thereafter (note the higher sink rate for circling flight). After 5 minutes he has climbed 4,250 feet. He then cruises at 110 knots for 16 miles, giving up 890 feet in the process. Both pilots arrive at the end of the cloud street at the same time and altitude. Conclusion: stopping to circle in a thermal weaker than 10 knots puts you behind the pilot who climbs straight ahead. Taking Ramy's point about stronger lift closer to cloudbase into account, let's assume you find an average 5 knots after a circling climb instead of 4 knots for climbing straight ahead. In this case you need a minimum 8.3 knot thermal before stopping to circle makes sense. If you assume 6 versus 4 knots average lift cruising closer to cloudbase then you only need a 6.6 knot thermal - but that starts to feel like a pretty strong thermal strength gradient with altitude. This analysis doesn't take into account a slight true airspeed advantage for the pilot who climbs first due to his higher average altitude. Overall, I think this confirms that it pays to avoid circling under a cloudstreet for anything but the very strongest lift. *This is even more true if you are heading into an upwind turnpoint. 9B Andy, Ok, I tried to take your scenario and put some numbers to it. *I used the polar for an LS-4 (no DG 300 numbers handy). *I Assumed 4 knots of lift along the 16 mile street and a 10 knot thermal at the end. *The glider starts at 3000 feet below the clouds and ends at cloud base at the end of the street (similar to Reichmann). *I added 20 seconds of centering penalty and a 20% higher sink rate while thermalling. Don't know if the table will get scrambled on most viewers but here is the data. *It shows that flying near MC speeds is optimum as long as you can find the strong thermal ahead. *If you expect to find a strong thermal ahead don't slow down to minimum sink speeds. *I think I will use a MC speed of about (expected climb from thermal - average street strength) as a good compromise MC setting to fly. *In this case 10 - 4 = MC setting of 6 to fly. MC * * *miles/hr * * * *time minutes * *Average speed * * * * 45 * * *14.99 * 64.05 * * * * 50 * * *14.53 * 66.06 * * * * 55 * * *14.14 * 67.89 0 * * * 60 * * *13.80 * 69.56 1 * * * 68 * * *13.34 * 71.96 2 * * * 76 * * *13.18 * 72.84 3 * * * 84 * * *12.62 * 76.05 4 * * * 90 * * *12.33 * 77.86 5 * * * 94 * * *12.18 * 78.80 6 * * * 98 * * *12.07 * 79.55 7 * * * 104 * * 11.95 * 80.35 8 * * * 112 * * 11.87 * 80.85 9 * * * 118 * * 11.87 * 80.88 10 * * *124 * * 11.90 * 80.66 TT Sorry found a sign error in my calculations. Here are the corrected values: MC miles/hr time minutes Average speed 45 14.99 64.05 50 14.53 66.06 55 14.14 67.89 0 60 13.80 69.56 1 68 13.34 71.96 2 76 13.25 72.46 3 84 12.90 74.43 4 90 12.75 75.27 5 94 12.70 75.57 6 98 12.69 75.68 7 104 12.71 75.54 8 112 12.82 74.88 9 118 12.95 74.11 10 124 13.12 73.16 |
#5
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On May 26, 2:16*pm, Tim Taylor wrote:
On May 26, 1:09*pm, Tim Taylor wrote: On May 22, 10:02*am, Andy wrote: On May 20, 7:47*pm, Ramy wrote: This is theoratically correct, but I found out more often than not that the lift right below cloudbase (keeping FAR clearance of course) is stronger and more widespread than couple of thousands below, which allows much faster speed without loosing altitude. Ramy Okay, I broke out the polar and did some simple math for a "typical" scenario. Take a cloud street that is 16 miles long with 4 knot average thermal strength and 10 knot peak thermal strength. Pilot A pulls back to 70 knots and climbs in the average lift (2.4 knot net climb rate). It takes him 14 minutes to reach the end of the street and he has gained 3,360 feet. Pilot B climbs in the strong core, taking 30 seconds to center and achieving a 8.4 knot average climb rate thereafter (note the higher sink rate for circling flight). After 5 minutes he has climbed 4,250 feet. He then cruises at 110 knots for 16 miles, giving up 890 feet in the process. Both pilots arrive at the end of the cloud street at the same time and altitude. Conclusion: stopping to circle in a thermal weaker than 10 knots puts you behind the pilot who climbs straight ahead. Taking Ramy's point about stronger lift closer to cloudbase into account, let's assume you find an average 5 knots after a circling climb instead of 4 knots for climbing straight ahead. In this case you need a minimum 8.3 knot thermal before stopping to circle makes sense.. If you assume 6 versus 4 knots average lift cruising closer to cloudbase then you only need a 6.6 knot thermal - but that starts to feel like a pretty strong thermal strength gradient with altitude. This analysis doesn't take into account a slight true airspeed advantage for the pilot who climbs first due to his higher average altitude. Overall, I think this confirms that it pays to avoid circling under a cloudstreet for anything but the very strongest lift. *This is even more true if you are heading into an upwind turnpoint. 9B Andy, Ok, I tried to take your scenario and put some numbers to it. *I used the polar for an LS-4 (no DG 300 numbers handy). *I Assumed 4 knots of lift along the 16 mile street and a 10 knot thermal at the end. *The glider starts at 3000 feet below the clouds and ends at cloud base at the end of the street (similar to Reichmann). *I added 20 seconds of centering penalty and a 20% higher sink rate while thermalling. Don't know if the table will get scrambled on most viewers but here is the data. *It shows that flying near MC speeds is optimum as long as you can find the strong thermal ahead. *If you expect to find a strong thermal ahead don't slow down to minimum sink speeds. *I think I will use a MC speed of about (expected climb from thermal - average street strength) as a good compromise MC setting to fly. *In this case 10 - 4 = MC setting of 6 to fly. MC * * *miles/hr * * * *time minutes * *Average speed * * * * 45 * * *14.99 * 64.05 * * * * 50 * * *14.53 * 66.06 * * * * 55 * * *14.14 * 67.89 0 * * * 60 * * *13.80 * 69.56 1 * * * 68 * * *13.34 * 71.96 2 * * * 76 * * *13.18 * 72.84 3 * * * 84 * * *12.62 * 76.05 4 * * * 90 * * *12.33 * 77.86 5 * * * 94 * * *12.18 * 78.80 6 * * * 98 * * *12.07 * 79.55 7 * * * 104 * * 11.95 * 80.35 8 * * * 112 * * 11.87 * 80.85 9 * * * 118 * * 11.87 * 80.88 10 * * *124 * * 11.90 * 80.66 TT Sorry found a sign error in my calculations. Here are the corrected values: MC * * *miles/hr * * * *time minutes * *Average speed * * * * 45 * * *14.99 * 64.05 * * * * 50 * * *14.53 * 66.06 * * * * 55 * * *14.14 * 67.89 0 * * * 60 * * *13.80 * 69.56 1 * * * 68 * * *13.34 * 71.96 2 * * * 76 * * *13.25 * 72.46 3 * * * 84 * * *12.90 * 74.43 4 * * * 90 * * *12.75 * 75.27 5 * * * 94 * * *12.70 * 75.57 6 * * * 98 * * *12.69 * 75.68 7 * * * 104 * * 12.71 * 75.54 8 * * * 112 * * 12.82 * 74.88 9 * * * 118 * * 12.95 * 74.11 10 * * *124 * * 13.12 * 73.16 Nice job Tim. At what speed do you get to top of lift before you reach the 10-knotter? The curves are pretty flat on the slow end down to just above best L/D speed (say Mc=1). Also notice that once you get to 3 knots on the McCready there is only 13 seconds of difference between the best and worst times up to Mc=9. That means you MUST center a thermal on the first circle to make it worthwhile to stop. Your 20% higher sink for circling flight is about right for 25-30 degrees of bank - at 45 degrees the sink rate is around 70% higher, so the thermals would have to be fat AND easy to core. More typically I find that around 1/3 of the time when I turn in a thermal I wish I hadn't and another 1/3 of the time it takes me a few turns to center it - that's on a good day. I don't know if that nets out to a 20 second expected loss or not. I'm normally pickier about stopping to circle at the beginning of the street versus when I'm getting towards the end - though I am now reconsidering this view. Higher TAS with altitude and likely stronger lift closer to cloudbase would argue for climbing up early rather than late. My -27 is a little better on the run than my old LS-4 which I think biases the optimal a bit more to straight ahead climbing over circling. My flying style has certainly migrated in that direction. 9B |
#6
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On May 27, 4:28*am, Nine Bravo Ground wrote:
On May 26, 2:16*pm, Tim Taylor wrote: On May 26, 1:09*pm, Tim Taylor wrote: On May 22, 10:02*am, Andy wrote: On May 20, 7:47*pm, Ramy wrote: This is theoratically correct, but I found out more often than not that the lift right below cloudbase (keeping FAR clearance of course) is stronger and more widespread than couple of thousands below, which allows much faster speed without loosing altitude. Ramy Okay, I broke out the polar and did some simple math for a "typical" scenario. Take a cloud street that is 16 miles long with 4 knot average thermal strength and 10 knot peak thermal strength. Pilot A pulls back to 70 knots and climbs in the average lift (2.4 knot net climb rate). It takes him 14 minutes to reach the end of the street and he has gained 3,360 feet. Pilot B climbs in the strong core, taking 30 seconds to center and achieving a 8.4 knot average climb rate thereafter (note the higher sink rate for circling flight). After 5 minutes he has climbed 4,250 feet. He then cruises at 110 knots for 16 miles, giving up 890 feet in the process. Both pilots arrive at the end of the cloud street at the same time and altitude. Conclusion: stopping to circle in a thermal weaker than 10 knots puts you behind the pilot who climbs straight ahead. Taking Ramy's point about stronger lift closer to cloudbase into account, let's assume you find an average 5 knots after a circling climb instead of 4 knots for climbing straight ahead. In this case you need a minimum 8.3 knot thermal before stopping to circle makes sense. If you assume 6 versus 4 knots average lift cruising closer to cloudbase then you only need a 6.6 knot thermal - but that starts to feel like a pretty strong thermal strength gradient with altitude. This analysis doesn't take into account a slight true airspeed advantage for the pilot who climbs first due to his higher average altitude. Overall, I think this confirms that it pays to avoid circling under a cloudstreet for anything but the very strongest lift. *This is even more true if you are heading into an upwind turnpoint. 9B Andy, Ok, I tried to take your scenario and put some numbers to it. *I used the polar for an LS-4 (no DG 300 numbers handy). *I Assumed 4 knots of lift along the 16 mile street and a 10 knot thermal at the end. *The glider starts at 3000 feet below the clouds and ends at cloud base at the end of the street (similar to Reichmann). *I added 20 seconds of centering penalty and a 20% higher sink rate while thermalling. Don't know if the table will get scrambled on most viewers but here is the data. *It shows that flying near MC speeds is optimum as long as you can find the strong thermal ahead. *If you expect to find a strong thermal ahead don't slow down to minimum sink speeds. *I think I will use a MC speed of about (expected climb from thermal - average street strength) as a good compromise MC setting to fly. *In this case 10 - 4 = MC setting of 6 to fly. MC * * *miles/hr * * * *time minutes * *Average speed * * * * 45 * * *14.99 * 64.05 * * * * 50 * * *14.53 * 66.06 * * * * 55 * * *14.14 * 67.89 0 * * * 60 * * *13.80 * 69.56 1 * * * 68 * * *13.34 * 71.96 2 * * * 76 * * *13.18 * 72.84 3 * * * 84 * * *12.62 * 76.05 4 * * * 90 * * *12.33 * 77.86 5 * * * 94 * * *12.18 * 78.80 6 * * * 98 * * *12.07 * 79.55 7 * * * 104 * * 11.95 * 80.35 8 * * * 112 * * 11.87 * 80.85 9 * * * 118 * * 11.87 * 80.88 10 * * *124 * * 11.90 * 80.66 TT Sorry found a sign error in my calculations. Here are the corrected values: MC * * *miles/hr * * * *time minutes * *Average speed * * * * 45 * * *14.99 * 64.05 * * * * 50 * * *14.53 * 66.06 * * * * 55 * * *14.14 * 67.89 0 * * * 60 * * *13.80 * 69.56 1 * * * 68 * * *13.34 * 71.96 2 * * * 76 * * *13.25 * 72.46 3 * * * 84 * * *12.90 * 74.43 4 * * * 90 * * *12.75 * 75.27 5 * * * 94 * * *12.70 * 75.57 6 * * * 98 * * *12.69 * 75.68 7 * * * 104 * * 12.71 * 75.54 8 * * * 112 * * 12.82 * 74.88 9 * * * 118 * * 12.95 * 74.11 10 * * *124 * * 13.12 * 73.16 Nice job Tim. *At what speed do you get to top of lift before you reach the 10-knotter? The curves are pretty flat on the slow end down to just above best L/D speed (say Mc=1). Also notice that once you get to 3 knots on the McCready there is only 13 seconds of difference between the best and worst times up to Mc=9. That means you MUST center a thermal on the first circle to make it worthwhile to stop. Your 20% higher sink for circling flight is about right for 25-30 degrees of bank - at 45 degrees the sink rate is around 70% higher, so the thermals would have to be fat AND easy to core. More typically I find that around 1/3 of the time when I turn in a thermal I wish I hadn't and another 1/3 of the time it takes me a few turns to center it - that's on a good day. I don't know if that nets out to a 20 second expected loss or not. I'm normally pickier about stopping to circle at the beginning of the street versus when I'm getting towards the end - though I am now reconsidering this view. Higher TAS with altitude and likely stronger lift closer to cloudbase would argue for climbing up early rather than late. My -27 is a little better on the run than my old LS-4 which I think biases the optimal a bit more to straight ahead climbing over circling. My flying style has certainly migrated in that direction. 9B Just as a hypothetical, I figured out how much "centering loss" you might experience rolling into a 10-knot thermal. If I assume 1/3 of the time you get 10 knots from the first turn, 1/3 of the time you spend a turn at 2 knots and a turn at 5 knots before centering and 1/3 of the time you burn a circle on a thermal that turns out not to be there, then the expected centering loss is the equivalent of 40 seconds circling at zero sink. 9B |
#7
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On May 27, 8:25*am, Nine Bravo Ground wrote:
On May 27, 4:28*am, Nine Bravo Ground wrote: On May 26, 2:16*pm, Tim Taylor wrote: On May 26, 1:09*pm, Tim Taylor wrote: On May 22, 10:02*am, Andy wrote: On May 20, 7:47*pm, Ramy wrote: This is theoratically correct, but I found out more often than not that the lift right below cloudbase (keeping FAR clearance of course) is stronger and more widespread than couple of thousands below, which allows much faster speed without loosing altitude. Ramy Okay, I broke out the polar and did some simple math for a "typical" scenario. Take a cloud street that is 16 miles long with 4 knot average thermal strength and 10 knot peak thermal strength. Pilot A pulls back to 70 knots and climbs in the average lift (2.4 knot net climb rate). It takes him 14 minutes to reach the end of the street and he has gained 3,360 feet. Pilot B climbs in the strong core, taking 30 seconds to center and achieving a 8.4 knot average climb rate thereafter (note the higher sink rate for circling flight). After 5 minutes he has climbed 4,250 feet. He then cruises at 110 knots for 16 miles, giving up 890 feet in the process. Both pilots arrive at the end of the cloud street at the same time and altitude. Conclusion: stopping to circle in a thermal weaker than 10 knots puts you behind the pilot who climbs straight ahead. Taking Ramy's point about stronger lift closer to cloudbase into account, let's assume you find an average 5 knots after a circling climb instead of 4 knots for climbing straight ahead. In this case you need a minimum 8.3 knot thermal before stopping to circle makes sense. If you assume 6 versus 4 knots average lift cruising closer to cloudbase then you only need a 6.6 knot thermal - but that starts to feel like a pretty strong thermal strength gradient with altitude.. This analysis doesn't take into account a slight true airspeed advantage for the pilot who climbs first due to his higher average altitude. Overall, I think this confirms that it pays to avoid circling under a cloudstreet for anything but the very strongest lift. *This is even more true if you are heading into an upwind turnpoint. 9B Andy, Ok, I tried to take your scenario and put some numbers to it. *I used the polar for an LS-4 (no DG 300 numbers handy). *I Assumed 4 knots of lift along the 16 mile street and a 10 knot thermal at the end. *The glider starts at 3000 feet below the clouds and ends at cloud base at the end of the street (similar to Reichmann). *I added 20 seconds of centering penalty and a 20% higher sink rate while thermalling. Don't know if the table will get scrambled on most viewers but here is the data. *It shows that flying near MC speeds is optimum as long as you can find the strong thermal ahead. *If you expect to find a strong thermal ahead don't slow down to minimum sink speeds. *I think I will use a MC speed of about (expected climb from thermal - average street strength) as a good compromise MC setting to fly. *In this case 10 - 4 = MC setting of 6 to fly. MC * * *miles/hr * * * *time minutes * *Average speed * * * * 45 * * *14.99 * 64.05 * * * * 50 * * *14.53 * 66.06 * * * * 55 * * *14.14 * 67.89 0 * * * 60 * * *13.80 * 69.56 1 * * * 68 * * *13.34 * 71.96 2 * * * 76 * * *13.18 * 72.84 3 * * * 84 * * *12.62 * 76.05 4 * * * 90 * * *12.33 * 77.86 5 * * * 94 * * *12.18 * 78.80 6 * * * 98 * * *12.07 * 79.55 7 * * * 104 * * 11.95 * 80.35 8 * * * 112 * * 11.87 * 80.85 9 * * * 118 * * 11.87 * 80.88 10 * * *124 * * 11.90 * 80.66 TT Sorry found a sign error in my calculations. Here are the corrected values: MC * * *miles/hr * * * *time minutes * *Average speed * * * * 45 * * *14.99 * 64.05 * * * * 50 * * *14.53 * 66.06 * * * * 55 * * *14.14 * 67.89 0 * * * 60 * * *13.80 * 69.56 1 * * * 68 * * *13.34 * 71.96 2 * * * 76 * * *13.25 * 72.46 3 * * * 84 * * *12.90 * 74.43 4 * * * 90 * * *12.75 * 75.27 5 * * * 94 * * *12.70 * 75.57 6 * * * 98 * * *12.69 * 75.68 7 * * * 104 * * 12.71 * 75.54 8 * * * 112 * * 12.82 * 74.88 9 * * * 118 * * 12.95 * 74.11 10 * * *124 * * 13.12 * 73.16 Nice job Tim. *At what speed do you get to top of lift before you reach the 10-knotter? The curves are pretty flat on the slow end down to just above best L/D speed (say Mc=1). Also notice that once you get to 3 knots on the McCready there is only 13 seconds of difference between the best and worst times up to Mc=9. That means you MUST center a thermal on the first circle to make it worthwhile to stop. Your 20% higher sink for circling flight is about right for 25-30 degrees of bank - at 45 degrees the sink rate is around 70% higher, so the thermals would have to be fat AND easy to core. More typically I find that around 1/3 of the time when I turn in a thermal I wish I hadn't and another 1/3 of the time it takes me a few turns to center it - that's on a good day. I don't know if that nets out to a 20 second expected loss or not. I'm normally pickier about stopping to circle at the beginning of the street versus when I'm getting towards the end - though I am now reconsidering this view. Higher TAS with altitude and likely stronger lift closer to cloudbase would argue for climbing up early rather than late. My -27 is a little better on the run than my old LS-4 which I think biases the optimal a bit more to straight ahead climbing over circling. My flying style has certainly migrated in that direction. 9B Just as a hypothetical, I figured out how much "centering loss" you might experience rolling into a 10-knot thermal. *If I assume 1/3 of the time you get 10 knots from the first turn, 1/3 of the time you spend a turn at 2 knots and a turn at 5 knots before centering and 1/3 of the time you burn a circle on a thermal that turns out not to be there, then the expected centering loss is the equivalent of 40 seconds circling at zero sink. 9B Andy, I agree with BB, Ramy and your comments. Everything depends on where you are flying and the strength and variability of the conditions. Out west at Logan or Parowan you can risk going faster and lower beneath the cloud streets, at Uvalde I learned the hard way not to drop more than 2000 feet below the clouds or risk not getting back up or if you do very slowly (I had one save from 400 feet agl). The best lift was within 1000 feet of cloudbase on most streets. I will work on refining the model when I get time so I can run more scenarios easily. The general things to take aways from the exercise is that slowing to minimum sink is not usually a good idea unless you really need to climb, best l/d or slightly faster is much better. That being slightly conservative costs very little on potential speed and reduces the risk factor of not finding that next big thermal. The difference of flying at MC 4 to MC 7 is very little and you lose much less altitude at the lower MC to stay in the stonger lift and connected to the clouds. |
#8
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Tim Taylor wrote:
On May 27, 8:25 am, Nine Bravo Ground wrote: On May 27, 4:28 am, Nine Bravo Ground wrote: On May 26, 2:16 pm, Tim Taylor wrote: On May 26, 1:09 pm, Tim Taylor wrote: On May 22, 10:02 am, Andy wrote: On May 20, 7:47 pm, Ramy wrote: This is theoratically correct, but I found out more often than not that the lift right below cloudbase (keeping FAR clearance of course) is stronger and more widespread than couple of thousands below, which allows much faster speed without loosing altitude. Ramy Okay, I broke out the polar and did some simple math for a "typical" scenario. Take a cloud street that is 16 miles long with 4 knot average thermal strength and 10 knot peak thermal strength. Pilot A pulls back to 70 knots and climbs in the average lift (2.4 knot net climb rate). It takes him 14 minutes to reach the end of the street and he has gained 3,360 feet. Pilot B climbs in the strong core, taking 30 seconds to center and achieving a 8.4 knot average climb rate thereafter (note the higher sink rate for circling flight). After 5 minutes he has climbed 4,250 feet. He then cruises at 110 knots for 16 miles, giving up 890 feet in the process. Both pilots arrive at the end of the cloud street at the same time and altitude. Conclusion: stopping to circle in a thermal weaker than 10 knots puts you behind the pilot who climbs straight ahead. Taking Ramy's point about stronger lift closer to cloudbase into account, let's assume you find an average 5 knots after a circling climb instead of 4 knots for climbing straight ahead. In this case you need a minimum 8.3 knot thermal before stopping to circle makes sense. If you assume 6 versus 4 knots average lift cruising closer to cloudbase then you only need a 6.6 knot thermal - but that starts to feel like a pretty strong thermal strength gradient with altitude.. This analysis doesn't take into account a slight true airspeed advantage for the pilot who climbs first due to his higher average altitude. Overall, I think this confirms that it pays to avoid circling under a cloudstreet for anything but the very strongest lift. This is even more true if you are heading into an upwind turnpoint. 9B Andy, Ok, I tried to take your scenario and put some numbers to it. I used the polar for an LS-4 (no DG 300 numbers handy). I Assumed 4 knots of lift along the 16 mile street and a 10 knot thermal at the end. The glider starts at 3000 feet below the clouds and ends at cloud base at the end of the street (similar to Reichmann). I added 20 seconds of centering penalty and a 20% higher sink rate while thermalling. Don't know if the table will get scrambled on most viewers but here is the data. It shows that flying near MC speeds is optimum as long as you can find the strong thermal ahead. If you expect to find a strong thermal ahead don't slow down to minimum sink speeds. I think I will use a MC speed of about (expected climb from thermal - average street strength) as a good compromise MC setting to fly. In this case 10 - 4 = MC setting of 6 to fly. MC miles/hr time minutes Average speed 45 14.99 64.05 50 14.53 66.06 55 14.14 67.89 0 60 13.80 69.56 1 68 13.34 71.96 2 76 13.18 72.84 3 84 12.62 76.05 4 90 12.33 77.86 5 94 12.18 78.80 6 98 12.07 79.55 7 104 11.95 80.35 8 112 11.87 80.85 9 118 11.87 80.88 10 124 11.90 80.66 TT Sorry found a sign error in my calculations. Here are the corrected values: MC miles/hr time minutes Average speed 45 14.99 64.05 50 14.53 66.06 55 14.14 67.89 0 60 13.80 69.56 1 68 13.34 71.96 2 76 13.25 72.46 3 84 12.90 74.43 4 90 12.75 75.27 5 94 12.70 75.57 6 98 12.69 75.68 7 104 12.71 75.54 8 112 12.82 74.88 9 118 12.95 74.11 10 124 13.12 73.16 Nice job Tim. At what speed do you get to top of lift before you reach the 10-knotter? The curves are pretty flat on the slow end down to just above best L/D speed (say Mc=1). Also notice that once you get to 3 knots on the McCready there is only 13 seconds of difference between the best and worst times up to Mc=9. That means you MUST center a thermal on the first circle to make it worthwhile to stop. Your 20% higher sink for circling flight is about right for 25-30 degrees of bank - at 45 degrees the sink rate is around 70% higher, so the thermals would have to be fat AND easy to core. More typically I find that around 1/3 of the time when I turn in a thermal I wish I hadn't and another 1/3 of the time it takes me a few turns to center it - that's on a good day. I don't know if that nets out to a 20 second expected loss or not. I'm normally pickier about stopping to circle at the beginning of the street versus when I'm getting towards the end - though I am now reconsidering this view. Higher TAS with altitude and likely stronger lift closer to cloudbase would argue for climbing up early rather than late. My -27 is a little better on the run than my old LS-4 which I think biases the optimal a bit more to straight ahead climbing over circling. My flying style has certainly migrated in that direction. 9B Just as a hypothetical, I figured out how much "centering loss" you might experience rolling into a 10-knot thermal. If I assume 1/3 of the time you get 10 knots from the first turn, 1/3 of the time you spend a turn at 2 knots and a turn at 5 knots before centering and 1/3 of the time you burn a circle on a thermal that turns out not to be there, then the expected centering loss is the equivalent of 40 seconds circling at zero sink. 9B Andy, I agree with BB, Ramy and your comments. Everything depends on where you are flying and the strength and variability of the conditions. Out west at Logan or Parowan you can risk going faster and lower beneath the cloud streets, at Uvalde I learned the hard way not to drop more than 2000 feet below the clouds or risk not getting back up or if you do very slowly (I had one save from 400 feet agl). The best lift was within 1000 feet of cloudbase on most streets. I will work on refining the model when I get time so I can run more scenarios easily. The general things to take aways from the exercise is that slowing to minimum sink is not usually a good idea unless you really need to climb, best l/d or slightly faster is much better. That being slightly conservative costs very little on potential speed and reduces the risk factor of not finding that next big thermal. The difference of flying at MC 4 to MC 7 is very little and you lose much less altitude at the lower MC to stay in the stonger lift and connected to the clouds. I made a summary of Reichmann for the simple-minded (i.e. me) a few years ago. MC 0 = Bad, unless you're struggling to stay airborne. The penalty for flying MC 1, as opposed to what your flight computer says, is pretty small, and the gains in range are big in comparison. As a rule of thumb, flying 1/2 the MC recommended by the theory/computer is a good strategy. This was for individual thermals, not streets, but the calculations above suggest it works for streets as well. |
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On May 27, 3:25*pm, Tim Taylor wrote:
On May 27, 8:25*am, Nine Bravo Ground wrote: On May 27, 4:28*am, Nine Bravo Ground wrote: On May 26, 2:16*pm, Tim Taylor wrote: On May 26, 1:09*pm, Tim Taylor wrote: On May 22, 10:02*am, Andy wrote: On May 20, 7:47*pm, Ramy wrote: This is theoratically correct, but I found out more often than not that the lift right below cloudbase (keeping FAR clearance of course) is stronger and more widespread than couple of thousands below, which allows much faster speed without loosing altitude. Ramy Okay, I broke out the polar and did some simple math for a "typical" scenario. Take a cloud street that is 16 miles long with 4 knot average thermal strength and 10 knot peak thermal strength. Pilot A pulls back to 70 knots and climbs in the average lift (2.4 knot net climb rate). It takes him 14 minutes to reach the end of the street and he has gained 3,360 feet. Pilot B climbs in the strong core, taking 30 seconds to center and achieving a 8.4 knot average climb rate thereafter (note the higher sink rate for circling flight). After 5 minutes he has climbed 4,250 feet. He then cruises at 110 knots for 16 miles, giving up 890 feet in the process. Both pilots arrive at the end of the cloud street at the same time and altitude. Conclusion: stopping to circle in a thermal weaker than 10 knots puts you behind the pilot who climbs straight ahead. Taking Ramy's point about stronger lift closer to cloudbase into account, let's assume you find an average 5 knots after a circling climb instead of 4 knots for climbing straight ahead. In this case you need a minimum 8.3 knot thermal before stopping to circle makes sense. If you assume 6 versus 4 knots average lift cruising closer to cloudbase then you only need a 6.6 knot thermal - but that starts to feel like a pretty strong thermal strength gradient with altitude. This analysis doesn't take into account a slight true airspeed advantage for the pilot who climbs first due to his higher average altitude. Overall, I think this confirms that it pays to avoid circling under a cloudstreet for anything but the very strongest lift. *This is even more true if you are heading into an upwind turnpoint. 9B Andy, Ok, I tried to take your scenario and put some numbers to it. *I used the polar for an LS-4 (no DG 300 numbers handy). *I Assumed 4 knots of lift along the 16 mile street and a 10 knot thermal at the end. *The glider starts at 3000 feet below the clouds and ends at cloud base at the end of the street (similar to Reichmann). *I added 20 seconds of centering penalty and a 20% higher sink rate while thermalling. Don't know if the table will get scrambled on most viewers but here is the data. *It shows that flying near MC speeds is optimum as long as you can find the strong thermal ahead. *If you expect to find a strong thermal ahead don't slow down to minimum sink speeds. *I think I will use a MC speed of about (expected climb from thermal - average street strength) as a good compromise MC setting to fly. *In this case 10 - 4 = MC setting of 6 to fly. MC * * *miles/hr * * * *time minutes * *Average speed * * * * 45 * * *14.99 * 64.05 * * * * 50 * * *14.53 * 66.06 * * * * 55 * * *14.14 * 67.89 0 * * * 60 * * *13.80 * 69.56 1 * * * 68 * * *13.34 * 71.96 2 * * * 76 * * *13.18 * 72.84 3 * * * 84 * * *12.62 * 76.05 4 * * * 90 * * *12.33 * 77.86 5 * * * 94 * * *12.18 * 78.80 6 * * * 98 * * *12.07 * 79.55 7 * * * 104 * * 11.95 * 80.35 8 * * * 112 * * 11.87 * 80.85 9 * * * 118 * * 11.87 * 80.88 10 * * *124 * * 11.90 * 80.66 TT Sorry found a sign error in my calculations. Here are the corrected values: MC * * *miles/hr * * * *time minutes * *Average speed * * * * 45 * * *14.99 * 64.05 * * * * 50 * * *14.53 * 66.06 * * * * 55 * * *14.14 * 67.89 0 * * * 60 * * *13.80 * 69.56 1 * * * 68 * * *13.34 * 71.96 2 * * * 76 * * *13.25 * 72.46 3 * * * 84 * * *12.90 * 74.43 4 * * * 90 * * *12.75 * 75.27 5 * * * 94 * * *12.70 * 75.57 6 * * * 98 * * *12.69 * 75.68 7 * * * 104 * * 12.71 * 75.54 8 * * * 112 * * 12.82 * 74.88 9 * * * 118 * * 12.95 * 74.11 10 * * *124 * * 13.12 * 73.16 Nice job Tim. *At what speed do you get to top of lift before you reach the 10-knotter? The curves are pretty flat on the slow end down to just above best L/D speed (say Mc=1). Also notice that once you get to 3 knots on the McCready there is only 13 seconds of difference between the best and worst times up to Mc=9. That means you MUST center a thermal on the first circle to make it worthwhile to stop. Your 20% higher sink for circling flight is about right for 25-30 degrees of bank - at 45 degrees the sink rate is around 70% higher, so the thermals would have to be fat AND easy to core. More typically I find that around 1/3 of the time when I turn in a thermal I wish I hadn't and another 1/3 of the time it takes me a few turns to center it - that's on a good day. I don't know if that nets out to a 20 second expected loss or not. I'm normally pickier about stopping to circle at the beginning of the street versus when I'm getting towards the end - though I am now reconsidering this view. Higher TAS with altitude and likely stronger lift closer to cloudbase would argue for climbing up early rather than late. My -27 is a little better on the run than my old LS-4 which I think biases the optimal a bit more to straight ahead climbing over circling. My flying style has certainly migrated in that direction. 9B Just as a hypothetical, I figured out how much "centering loss" you might experience rolling into a 10-knot thermal. *If I assume 1/3 of the time you get 10 knots from the first turn, 1/3 of the time you spend a turn at 2 knots and a turn at 5 knots before centering and 1/3 of the time you burn a circle on a thermal that turns out not to be there, then the expected centering loss is the equivalent of 40 seconds circling at zero sink. 9B Andy, I agree with BB, Ramy and your comments. *Everything depends on where you are flying and the strength and variability of the conditions. Out west at Logan or Parowan you can risk going faster and lower beneath the cloud streets, at Uvalde I learned the hard way not to drop more than 2000 feet below the clouds or risk not getting back up or if you do very slowly (I had one save from 400 feet agl). *The best lift was within 1000 feet of cloudbase on most streets. I will work on refining the model when I get time so I can run more scenarios easily. *The general things to take aways from the exercise is that slowing to minimum sink is not usually a good idea unless you really need to climb, best l/d or slightly faster is much better. That being slightly conservative costs very little on potential speed and reduces the risk factor of not finding that next big thermal. *The difference of flying at MC 4 to MC 7 is very little and you lose much less altitude at the lower MC to stay in the stonger lift and connected to the clouds. Yup, It was a little while back that I realized that speed in soaring contests mostly has to do with the pilot's ability to estimate probabilities. How fast or slow you fly in cruise matters little within a broad range. How well you thermal matters only a bit. The thing that takes you to the next level is being able to answer a simple question over and over again "if I fly straight ahead on course right now instead of circling, will I find a better thermal before I get desperate?" The great pilots know when to press on and when to stop and climb. 9B |
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