Subject: Shifting gears. Prop efficiency definition.
From: Paul
Date: 2/7/2000, 11:30 PM

Vance Jaqua wrote:


OK I am interested in a rough approximation so I
will accept a
5% error due to the disk loading effects.

Now getting back to the constant speed prop verses
the the fixed
pitch prop verses the infinitely variable gear box
driven prop.

Lets look at the constant speed verses the fixed
pitch prop.

Let us say the fixed pitch prop operates at about
2200 RPM and 120 HP on average
while the constant speed prop engine runs at 2700
RPM and 150 HP and
while the O-320 Lancair accelerates from zero to a
rotation speed of 100 feet
per second.

It took 27 seconds for the fixed pitch prop to reach
100 feet per second and
only 9 seconds for the constant speed prop to reach
100 feet per second.

First of all that chart is advertising hype and
probably bears very little relationship to real data
VJ

 > Let us also say the gross weight of this airplane
was 1600 pounds in
both cases.

The average acceleration with the fixed pitch was
about 3.7 feet per second per
second or .11 G. While the constant speed prop did
it at 11 feet per second per
second or .34 G.

F = W * G's so in the fixed pitch  case we had an
average thrust of 176 pounds
and 544 pounds average in the constant speed case.

At 50 fps we have available out of the 120 HP 2200
RPM engine 1320  pounds of thrust

or a prop eff of 13%. (thrust in/thrust out. HP
in/HP out).  Out of the 150
HP 2700 RPM constant speed engine we have 1650
pounds of thrust or a prop eff. of
32%.

Here again is your chart.

fixed pitch 70X78             const spd   var gear
   mph  rpm   bhp f lbs eff    f lbs eff  f lbs eff
    0   1940  108  407   0      603   0    525   0
   30   1950  109  393  28      530  26    505  25
   60   1960  110  353  51      480  50    460  47
   90   2080  118  327  66      425  63    420  62
  120   2400  130  307  76      366  73    365  73
  160   2500  149  283  81      299  80    299  80
  190   2720  160  268  83      268  83    268  83

I think there is something wrong as you show the
eff. for the constant
speed prop at 30 MPH (44 fps) being only two points
difference than the
fixed pitch prop.

Your number for the fixed pitch prop is way too high
IMHO.
I don't think the difference in disk loading can
make up for such
a wide discrepancy.

It is 2 percent lower because the disc loading is
higher the fixed pitch prop is getting  3.6 lbs per hp
and the constant speed prop is getting  only 3.3 lbs
per horsepower because of higher disc loading  6 hp
per sq ft versus 4 hp per sq ft - why is this hard to
believe? Vance

Why is 393 pounds of thrust out of the fixed pitch prop hard to believe? :-)

Because it is taking the O-320 Lancair 27 seconds instead of 9 seconds
to get to 100 feet per second with a fixed pitch prop. That is why 393 pound 
of thrust out of the fixed pitch prop is hard to believe regardless of the 
minor change in disk loading. These are real measured numbers ostensible.

Where did I go wrong explaining this? :-) Is my math wrong someplace?
 
Paul Lamar
 
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