OK ED,
That's 7.134 gallons an hour ( Cruise at
6,000rpm) at 14.7:fuel ratio at sea level for a single rotor or 14.268 for a 2
rotor, both at 100% VE.
SO
7.134 x 6( lb/gal)/0.6 ( BSFC) = 71 HP (single
rotor)
Wot ( 7,500) will be 8.975 gal an
hour and 17.95 gal an hour for a 2 rotor, at sea level, both at 100
VE.
SO
8.975 x6 / 0.6= 89hp (single rotor)
These numbers are not so good - am I using the
wrong BSFC number (0.6 for 14.7:1)? Should we also be looking for greater VE
with the P-port?
George (down under)
Well I'll be Ed,
2.4137sq" = (.877x.877xPi = 2.416), therefore
.877 Radius or 1.754 Dia or 44.55 mm for the carb opening.
I'm working on the rest!
George ( down under)
George, I've done a bit of this type of calculation,
perhaps Lynn won't mind if I give it a stab
To get an airflow in CFM to a fuel Flow in
Gallons per minute
I start with your airflow of 173.6 CFM and
convert that to mass air flow rather than volume because the air/fuel ratio
is based on mass ratio not volume ratio.
The reason for this
is that a cubic foot of fuel will weigh the same everywhere but a
cubic foot of air will weigh differently at different air densities
(altitudes). I'll use the notation of Ft^3 (foot cube) for CF and Ft^2
(foot squared) for Sq ft as it makes it easier to show where units cancel
out.
At sea level the mass/weigth of 1 cubic foot of air is around
0.076 lbm/Ft^3 (of air). So with 173.6 Ft^3/Min * 0.076
lbm/Ft^3 = 13.1936 lbm/minute of air(the two CFM or Ft^3 factors
cancel out leaving you with units of pounds mass (lbm) per minute).
Then taking your air/fuel ratio value of 14.7 we have 13.1936 /14.7 = 0.8975
lbm/minute of fuel.
Various figures are used for weight of gasoline
depending in part on its octane. The most common use figure is 6 lbs/
gallon, so I'll use that figure.
So 1 minute at your flow rate we
have 0.8975 Lbm/Min / 6 lb/gal = 0.149587 Gal/Min or in more
conventional terms 0.149587 gal/min * 60 min/hour = 8.975
Gal/hour fuel flow for that air flow and air/fuel
ratio.
There are other approaches, but unless I've screwed up this
should be pretty close to the answer.
For inlet, you take the CFM and
you need one other factor - what velocity do you want through your
inlet? Lets say you want a higher velocity of around 176 feet/sec (120
MPH) then we know that Volume = Area * length. If were want 176
feet/sec velocity from 176 CFM air flow then coverting CFM to cubic feet per
second were have 176Ft^3/min / 60 Second/Minute = 29.333 Ft^3/
Second
So solving for Area (of opening) =
Volume/Length = 2.9333Ft^3/sec/ 175 Ft/Sec = .01676 Ft^2of area
which is 0.01676Ft^2 * 144 inch^2/Ft^2 = 2.4137 inch^2 of opening for
that assumed velocity.
Again, if I haven't screwed up for an air
velocity through the opening of 176 feet/sec that would be the opening
size. If you wanted slower air flow then the area of the opening would
increase, faster and it would decrease up to a choke point where the
air flow would flow no faster.
Hope that helped
Ed NOT
LYnn
----- Original Message -----
From: George Lendich
To: Rotary
motors in aircraft
Sent: Sunday, July 29, 2007 7:10 PM
Subject:
[FlyRotary] Air/fuel flow
Lynn,
Following from previous
post from your self, I'm looking at AIR FLOW and FUEL FLOW for my single
rotor.
EG [40 cu" per face x 3 ( 7,500/3)]/1728 = 173.6 CFM( Air)/ 14.7 (
Ratio)= 11.8 cfm ( Fuel)
40x3x2,000/1728=138CFM( Air)/14.7(
ratio)=9.44cfm( fuel)
Question,
1. how does one convert cfm to Gallons
per minute?
2. how does one convert CFM to diameter of inlet?
George (
down under)