You got it, Bryan, the larger prop spins
at a lower rpm – however, because it is geared to the engine with a 2:85
ratio there is less load on the engine and therefore the engine revs to a
higher rpm producing more power (and compensating some by the increase in
engine rpm). But, the prop knows nothing about the HP of the engine –
all it knows is the torque the gear box is providing it to turn. The 2.85
provides more torque for the same engine rpm so can turn a large prop for the
same power. But, because the engine is not loaded as heavily with the
2.85, I can get a bit more rpm –so this compensates a small bit for the
slower turning prop – because its turning a bit faster than it would had
the engine rpm remained the same as with the old prop and gear box.
The prop rpm decreased for the same old
engine rpm (but, I got a bit of that back due to the higher engine rpm with the
new gear box)– however, the larger diameter of the prop pushes more air
mass so therefore I accelerate faster on take off roll. To determine the prop
rpm simply divide engine rpm by gear box ratio – to get engine rpm simply
multiply prop rpm by gear box ratio.
With my old 68x72 I would turn around
5200-5400 on a normal day. So prop rpm was 5300 / 2.17 = 2442 rpm.
With the 74x88 and 2.85 gear box, the engine would turn 6000 rpm So
new prop rpm is 6000 / 2.85 = 2105 rpm or almost 300 rpm slower. But the old
prop disc area was P(68/2)^2 = 3632 sq inches where as the new one is
P(74/2)^2 = 4300 sq inches. That gives me a 15.5% increase in disc area
with the new prop compared to a 11.6% decrease in RPM. So if everything else
were equal it would appear I would have an net 4% increase in thrust (not
counting the supposedly greater efficiency of the slower turning prop –
which might be a couple percent. But, remember this is 4% is constantly
applied during every revolution of the prop on take off. So its similar
to applying a constant acceleration to an object. Even using the very
small thrust of Ion rocket engines – they get the space craft up to
tremendous speeds because of the continuous application of that small
acceleration.
So as Ernest says – there are many,
many factors involved in how a prop functions – our math calculations are
very simplified models of the real world – so don’t be surprised if
the don’t always provide the expect answer – nature really doesn’t
care about conforming to our simply models {:>)
Enough – makes my head hurt.
Ed
From: Rotary motors in aircraft
[mailto:flyrotary@lancaironline.net] On
Behalf Of Bryan Winberry
Sent: Thursday, March 04, 2010
1:49 PM
To: Rotary
motors in aircraft
Subject: [FlyRotary] Re: Vance
Jaqua and Propellers
Ed,
You’re losing me here. If I
understand you correctly, you are taking off with lower prop RPM now compared
to the original prop? But the RD-1C allows the engine to produce more
HP(via more rpm). Isn’t the goal to turn the prop just short of
its’ max RPM for T/O? Come to think of it, maybe that’s your
point. Do you know the prop rpm’s for the two scenario’s?
Bryan
From: Rotary motors in aircraft
[mailto:flyrotary@lancaironline.net] On
Behalf Of Ed Anderson
Sent: Thursday, March 04, 2010
12:40 PM
To: Rotary
motors in aircraft
Subject: [FlyRotary] Vance Jaqua
and Propellers
Hi Bob, Lynn
I agree with your assessments - doesn't make any sense
otherwise.
There was a very smart individual I knew by name of Vance
Jaqua. I had several exchanges with him about propellers that made more
sense to me than what I read in Prop theory. I mean he really made sense
about props as it relates to the real and theoretical world. One of
things he pointed out regarding static thrust - was how crucial prop loading
was to thrust produced/ per horse power at/near static conditions. He
took on some of the basic tenants of current prop theory and pointed out some
thinking that just didn’t seem to make sense in the real world.
Here is an extract out of his “thinking paper” on propellers
he shared with me (my comments in
blue)
The mass that we are going to accelerate for a classic
airplane propeller, is roughly a sort of cylinder of air the size of which is
related to the diameter of the prop. (in
other words, whatever we do and however efficient it is or is not –
it’s all relative to this cylinder of air which is related to the
diameter of the prop – so the diameter of the prop appears to sort of set
a foundation element for all else)
The size of that cylinder of air controls the amount of
weight flow through the prop disk (That all important M(Mass) in our thrust and power calculations that we
discussed above). Now using that MV (momentum
= mass * velocity)formula, we can get 100 pounds force of thrust by
either accelerating 1 unit of mass by 100 feet per second, or by accelerating
100 units of mass by 1 foot per second, (or any other combination for which the
answer is 100).
However, remember the expression for power - M times
velocity squared, divided by two. This puts a big difference on how much power
we need to make the force. The 100 feet per second case computes to 5,000 ft
pounds of energy, where the 1 foot per second case is only 50 foot pounds. This
is for the static thrust case, and explains why helicopters and STOL type
airplanes use those big, rather slow turning propellers to get off the ground.
(this also helps explains why my going from a faster turning (68x72)
prop using the 2.17 gear box to a slower turning larger diameter (74x88) prop
using the 2.85 gear box increased my static thrust and take off
performance – it gave lighter disc loading)
As the airplane flies faster, the need for those large
diameters becomes less important, because now your disk is "running
into" lots of pounds per second just because of your forward
velocity.
I thought these few words of Vance explained more to me than
an entire book of theory on props.
Here is a chart that Vance provided that illustrates
his point about low disc loading contributed to more static thrust.
Particularly note the difference it makes at zero airspeed (our static
condition). A very lightly loaded prop of 1 Hp /sq ft produces around 9
lbs of thrust per HP at static whereas the higher loaded (more HP per sq ft of
prop disc area) the prop is - the less static thrust produced.
This might seem counter intuitive but Vance points out a
helicopter might have a disc loading as light as 0.25 Hp/sq ft. A helicopter
can clearly produce great amounts of static thrust as it lifts its own weight
vertically off the ground at “zero” airspeed. It would appear
that greater power and smaller prop produces less thrust due to the fact that a
smaller diameter blade is likely highly pitched to absorb the greater power and
likely has a large portion of its blade stalled or otherwise turbulent,
distorted air flow as the powerful engine churns the air. Even the book
theory indicates a slower turning prop is more efficient in using power to move
air.

Unfortunately, to the best of my knowledge, Vance never
turned his notes into a finished paper. He certainly had a viewpoint that
I found understandable.
Ed
Ed Anderson
Rv-6A N494BW Rotary Powered
Matthews, NC
eanderson@carolina.rr.com
http://www.andersonee.com
http://www.dmack.net/mazda/index.html
http://www.flyrotary.com/
http://members.cox.net/rogersda/rotary/configs.htm#N494BW
http://www.rotaryaviation.com/Rotorhead%20Truth.htm
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