Is a one-bladed propeller 10% to 15% more efficient?
Based on stuff I've read in the past and can vaguely remember today, a
one-bladed prop will give me an additional 10 to 15 percent efficiency. Is
this optimistic?
From : Don Stackhouse
Probably VERY optimistic. I'd say the 2 or 3 percent numbers Scott Black
posted on this subject are probably in the ballpark, although you might do
a little better.
There is an optimum number of blades for any given airframe/engine/flight
condition, and it isn't always one, or two, or six, or whatever. In
general, if you are limited in diameter and high in power, more blades
tends to be better. I think this particular case falls more towards the
opposite end of that spectrum, so one blade might be appropriate.
I was thinking that I could maybe spin a 6.5 inch pitch prop at 20,000 RPM
or so if I can find a really thin folder and just use one blade. The only
problem is that I don't have any information on single bladed props.
At that rpm and the airspeeds typical of these models, you're looking at
helical tip speeds around 400 mph for that example. This is not very high
at all as propellers go, so you have no nearby mach limits on diameter to
worry about. This gives you three options: more diameter (as Scott's post
suggested), or more blade chord, or some of both.
More diameter usually helps efficiency, but not always. In particular,
aircraft that fly at relatively high speeds usually benefit less from
increased diameter than do slower aircraft. In any case, since power is
related to the 5th power of diameter, you won't be able to change diameter
very much.
The other big factor here is Reynolds number ("Re"). Yes, that same
troublemaker that robs the performance from model wings (in comparison to
full-scale) steals performance from model propellers too.
Consider the Graupner CAM Speed Prop. At 20,000 rpm, the helical speed at
2.25" from the shaft will be around 270 to 300 mph. The chord at that point
is about 11/32", so the Re at sea level is about 80,000. This just happens
to be about the same Reynolds number as the wing of a typical 1.5 meter R/C
hand-launched glider in a thermal turn, something I just happen to have a
little experience with! ;-)
For one of the popular published airfoils used on some R/C HLG's (none of
mine, BTW, I design my own), going from a Re of 120K down to 80K doubles
the drag. It doubles again going from 80K down to 60K. While other airfoils
may do better, the point is that airfoils in this regime are very sensitive
to small changes in Reynolds number.
This is also one reason why V-tails are so effective in small models; even
though a properly designed V-tail has about the same total area as a
conventional or T-tail of the same effectiveness, its area is spread over
two panels instead of three. The resulting higher area per panel can be
used to give the panels a larger chord and improved Reynolds numbers.
This same principle can be applied to propellers. Using a one-bladed prop
concentrates the total blade area (which is relatively constant for a given
power and rpm) into a single blade, which allows for an increase in blade
chord and a corresponding improvement in Reynolds numbers. The improvement
in performance from this may be better than you can get from a diameter
increase. My guess is that a little of both will most likely be the best
approach.
Sooooo, is there anyone who can supply some info on how to make one-bladed
props (for speed - not free flight)? Or maybe you can direct me to a
magazine article or a book? I know the control line guys have been using
them in their speed events for some time.
There was an article in Model Aviation back in the late 70's I believe,
that discussed the techniques used in 1/2A proto speed, where the records
were all held by 1-bladed props. Typical rpm's and airspeeds for these
models were in the same general region as our Speed 400 pylon ships today.
The article went into quite a bit of detail on 1-bladed prop construction.
I have that issue in my collection out in the barn, and I'll try to find
it, but it might take me a LONG time. (If you saw my collection, just
recently unpacked, but not yet sorted, you'd see why. I get about a dozen
aviation magazines per month, ever since the 70's, and I don't throw ANY of
them away!) If someone else can find the date of that issue, please post it!
The props used a maple blade with a brass counterweight on the other side.
The counterweight had a slot in the side of it (like a piece of brass
channel with a thick base), so that the root of the blade was epoxied into
the slot with the brass webs on either side of the slot in front of and
behind the blade root. The prop mounting screw went through both brass
webs, plus the wooden blade root in the middle. They were about 1/4" bigger
in diameter than the equivalent 2-blade props.
On a 1-bladed prop, the C/G of the counterweight has to be shifted aft
(towards the motor on a tractor prop) to counterbalance the bending moment
from the thrust on the blade. It also has to be shifted slightly towards
the leading edge of the blade to counteract the drag of the blade (i.e.:
the "timing" of the counterweight C/G has to be retarded slightly, in the
direction opposite the rotation of the prop). Even so, it will not be
possible to exactly balance the loads on the single blade, and you can only
come close at one specific combination of rpm, airspeed and power. You WILL
have some vibration to deal with, so you may need to use airframe
construction techniques more like the ones used on recip-engined models.
Also I need to know how many watts will be absorbed by a prop with one
blade. My 6.5 inch pitch example above is probably bad science on my
part. Given that I can currently get my 4.7x4.7 to spin at about 19,500
what would be the most efficient one-blader that would absorb the same
number of watts?
Can't answer that without considering the entire model. Even the shape of
the nose has an influence on that. The Hamilton Standard propeller
performance charts may help get you a reasonable starting point. They only
go down to two blades, so you'll have to do some extrapolating. They're
also based on full-scale propeller performance, so you'll have to throw in
some allowances for Reynolds numbers.
As with other classes of powered pylon racing, the prop that does the best
on the turns will probably not be the same as the best one on the
straights. Your personal flying style also enters the equation at that
point. Do you like to pull tighter on the turns? You probably need a prop
optimized more for acceleration. Fly a wider, more elliptical course with a
more constant speed? A prop with less acceleration but more top speed could
be better.
Oh, well, at this point we've thrown in so many factors that the numbers
are of questionable usefulness, and the Ham. Std. charts are almost
impossible to get these days anyway (if you don't already have a set). At
this point I suspect your best solution will inevitably involve a lot of
carving and flight testing. Of course that means you now have a great
excuse to do more flying!
Don Stackhouse @ DJ Aerotech
djarotec@bright.net
http://www.bright.net/~djwerks/
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