Subject: Inlet area of P-51 scoop
From: ACRE NL
Date: 11/10/2002, 7:05 AM


Ageless Wings wrote:

Mornin', Andy

This is from the VeriEZ scoop.  I have the Veri and Long plans on the
Rutan CD in PDF format.

   Cheers,
    Andy

I have that CD, too!  Didn't even think of looking at the VariEze plans!  I
guess Burt switched to a prefab part before the Long EZ plans were
available.

Paul...

Now that we have some drawings for reference, I took the dimensions off of
my "prefabbed"  cowl.  Dimension 'A' on mine is 4.5" (the drawing calls for
4.6 inches), and the long axis of the ellipse on mine is 12.625".  The
drawing calls for 12.2".

Also, the radius of the lip on mine varies from 1 inch on the corners, to
1.1 inch measured at the long, straight sections. The plans call for 1.2".

The drawing's chart of dimensions only goes up to 100 horse engines (the
Continental O-200 engine for the VariEze ), whereas the later recommendation
for the Long was the Lyc O-235, which is around 108 hp, depending on flavor.

These dimensions do increase the cross section area of the inlet opening
somewhat, and may have been enlarged to try to make up for the 8 extra HP on
the larger recommended engine.

Harley

Give it 50 square inches roughly. .3 rule of thumb would be a core
about 167 square inches or about 13 by 13. Sounds about right to me
for about 100 HP.

One thing you got going for you in an air-cooled engine is the temp
difference between the fins and the air can be as much as 300 F. Since
the rate of heat transfer is proportional to the temp difference that
is far better than about 110 F you get with a liquid cooled system.
On the other hand the fin surface area of a rad can be far higher
than the fin surface area of an air-cooled engine. Back in WW II
P&W and CW machined the closely spaced thin fins on cylinders using a
gang of cam controlled thin slitting saws. In general the fin surface
area of a rad is proportional to the volume of the rad.

BTW if the temp of the air is 60 degrees higher exiting the rad
than the air entering the rad the back part of the
rad is indeed working less than half as well as the front part of
the rad. This is the reason for the rule of thumb that states the
first half is doing three quarters of the work and why rads are
getting thinner and thinner in cars.

The other factor is a thick rad is limited to the airflow it can pass
at low speeds. Once you jam as much air in there as you can at a given
speed more air will just refuse to flow through the rad regardless of
how large the opening. The air will merely decide to flow around
the opening. At that forward speed and below that forward speed you
will get more air through a larger area thinner rad.

Paul Lamar

I re-did the program for the size of the opening in square inches
for a range of MPH and temps exiting the rad. This assumes of
course all the air volume for that speed and intake hole
size does indeed go through the rad. This is where the .3 rule of thumb
comes into play and a properly shaped 100% efficient inlet duct is assumed.  
If for some reason the rad is too thick or the exit is restricted 
the air will not go in the hole and merely flow around the outside 
of the hole. Making it bigger only works up to a point. It can only
compensate for a duct less than 100% efficient. 

Another way of looking at this table is to say this is the
required volume of air flowing through the rad required to cool 
the engine. FPM X AREA = VOLUME

Paul Lamar
 
The AirCraft Rotary Engine NewsLetter.  Powered by Linux.
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Assumptions:
6000 BTU per minute waste heat
Specific heat of air = 0.01988 BTU per cubic foot per deg  
20% humidity 100 degree day
_______________________________________________________________
..........10...15...20...25...30...35...40...45...50...55... 60
---------------------------------------------------------------
  80 MPH  620  413  310  248  207  177  155  138  124  113  103
  85 MPH  583  389  292  233  194  167  146  130  117  106   97
  90 MPH  551  367  275  220  184  157  138  122  110  100   92
  95 MPH  522  348  261  209  174  149  130  116  104   95   87
 100 MPH  496  331  248  198  165  142  124  110   99   90   83
 105 MPH  472  315  236  189  157  135  118  105   94   86   79
 110 MPH  451  301  225  180  150  129  113  100   90   82   75
 115 MPH  431  287  216  172  144  123  108   96   86   78   72
 120 MPH  413  275  207  165  138  118  103   92   83   75   69
 125 MPH  397  264  198  159  132  113   99   88   79   72   66
 130 MPH  381  254  191  153  127  109   95   85   76   69   64
 135 MPH  367  245  184  147  122  105   92   82   73   67   61
 140 MPH  354  236  177  142  118  101   89   79   71   64   59
 145 MPH  342  228  171  137  114   98   85   76   68   62   57
 150 MPH  331  220  165  132  110   94   83   73   66   60   55

CLS
'6000 BTU per minute waste heat
'0.01988 BTU per cubic foot per deg
'20% humidity 100 degree day

BTUCon = .01988

OPEN "btu2.dat" FOR OUTPUT AS #1

PRINT #1, "Assumptions:"
PRINT #1, "6000 BTU per minute waste heat"
PRINT #1, "Specific heat of air = 0.01988 BTU per cubic foot per deg  "
PRINT #1, "20% humidity 100 degree day"

PRINT #1, "_______________________________________________________________"
PRINT #1, "..........10...15...20...25...30...35...40...45...50...55... 60"
PRINT #1, "---------------------------------------------------------------"


FOR MPH = 80 TO 150 STEP 5
FPM = MPH * 88
PRINT #1, USING "####"; MPH;
PRINT #1, " MPH";
FOR tempF = 10 TO 60 STEP 5
'PRINT #1, tempF;
airflowCFM = (6000 / (.0198 * tempF))
'PRINT #1, USING "############"; airflowCFM;
AreaSF = airflowCFM / FPM
'PRINT #1, USING "###########.##"; AreaSF;
AreaSI = AreaSF * 144
PRINT #1, USING "#####"; AreaSI;

NEXT tempF
PRINT #1,

NEXT

CLOSE #1

SHELL "more < btu2.dat"
SYSTEM