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Registered Member #3414
Joined: Sun Nov 14 2010, 05:05PM
Location: UK
Posts: 4245
Patrick wrote ...
yes, but we needed mre math to convince others, not just our hunch...
It's not a hunch, although my previous experience is with marine propellers.
I've never really done the maths properly before, though. Just chose the largest prop size that was practical, and worked from there.
Ideally, you want a low pitch angle as well. From what I was reading earlier, under ~12 degrees, something to do with 'stall'.. Apparently this is much more important for 'copters than for 'planes.
Registered Member #2529
Joined: Thu Dec 10 2009, 02:43AM
Location:
Posts: 600
Wikipedia page on disk loading:
Efficiency effects of disk loading:
Only, with professors, don't mention wikipedia, just pull down the references, and refer to them. They get sniffy.
If you use 17 inch props, you'll get 17^2/10^2 = 2.9 times the hover time than with a 10 inch prop assuming optimal pitch and motor stuff in each case.
It's almost EXACTLY the same as gliders. You know how gliders have those long thin wings and can fly for miles and miles without using any energy. It's like that, only your wing is spinning. You want the thinnest, longest wings possible.
Registered Member #3414
Joined: Sun Nov 14 2010, 05:05PM
Location: UK
Posts: 4245
Now we're getting somewhere, that's the graph I've been trying to plot.
If you get ~3 times flight time going from a ten inch prop to a 17 inch prop, you'll get to ten times flight time long before you get to 1 metre diameter.
How did you get to the 2.9 figure for a 17 inch prop, BB?
EDIT: Although, without ducting, I'm still guessing ~1 metre for ten times flight time
I think I'm there. 32^2/10^2=10.24. my hunch appears to be correct. 32 inches gives 10 times flight time, according to this method. This gives us a 'ballpark figure' to work from.
Registered Member #2529
Joined: Thu Dec 10 2009, 02:43AM
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Posts: 600
It's probably not 100% accurate because the longer rotor will weigh a bit more, but it's also thinner, and the motors can be lighter, because you don't need as much power.
Also adding multiple disks helps too; 4 rotors of 10 inches is ~4 times more efficient than 1 rotor of 10 inches, because they share the weight (up to the point where the weight of the rotor and motors and the structure completely dominate the mass of the vehicle, and then adding more doesn't help because the disk loading doesn't go down any further).
Registered Member #3414
Joined: Sun Nov 14 2010, 05:05PM
Location: UK
Posts: 4245
Well, the prop could still spin at the same speed, but with reduced pitch, for example, or it could be geared down.
I'm 'sort of' basing this on a direct 'scale up' of Patrick's existing assymetrical tri-copter design, as that's a design that was reached by well documented method, and for which we have some figures.
Working on a ten inch prop giving 8 minutes flying time (a figure I believe Patrick mentioned), I've arrived at the following graph:
EDIT: This also seems to fit Dr. Spark's 5 minute flight time with 5" props
If you use 17 inch props, you'll get 17^2/10^2 = 2.9 times the hover time than with a 10 inch prop assuming optimal pitch and motor stuff in each case.
Are you sure? I get a linear dependency of flight time on prop diameter. The graph you quoted is interesting. I can't derive a relationship between disk loading and efficiency, which does not take into account the mass of the aircraft explicitly.
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