Subject: Galloping Ghost total loss cooling system.
From: Rotary Engine
Date: 10/3/2011, 8:43 PM
To: AAA Put this in the To box


Paul,

I did the same calculation as you did and got a different result.
Assuming a density altitude of 7,000 feet and a true airspeed of 500
mph, the indicated airspeed is 450. The corresponding q is 520 lb/sq ft.
The wing area is 170, not 235, because 10 feet had been clipped off, so
the available force at CL=1.0 would be 170 * 520 or 88,400 pounds.
Assuming the airplane weighed 8,840 pounds (as good a guess as any;
probably a bit more than that, actually), CL or rather normal force in
1G level flight would be 0.1. CL required for 11 G would be 11 times
that, or 1.1. For a wing of aspect ratio 4.3, lift curve slope is
probably around 0.08 per degree, so an angle of attack increase of 12.5
degrees would be required.

 From this I conclude that the 11 G reported from the telemetry was a
transient, and the stable G with a floating elevator would have been
quite a bit lower. But the initial shock may have slammed him down
against the stick or panel (the acceleration would have been down and
forward, because of deceleration from G and also from temporary loss of
fuel flow) and knocked him out, or at least made him blind and woozy.
Speed over the top of the loop was around 360, I think; power came back
in, speed was 505 at impact with 105 in. Hg.

Peter Garrison

It all depends on what you start with:) I did not know about the 10 foot
wing clip. The stock P51 empty weight was:

Model.........     XP-51..    P-51A...P-51B/C-1...P-51B/C...P-51D/K...P-51H
Empty Weight...    6280 ...6433....6840........6985.......    7635 ....7040

I assumed there was a weight reduction as when you are pulling a bunch
of G's in the corner weight has a large affect on induced drag.
C sub L squared over pi times the  Aspect Ratio. Short wings sometimes
hurt :) As I recall there is now a weight minimum for unlimited's.

Dave Leonard was pulling 2.5 G's with his lowly turbo rotary powered
230 MPH RV6. Confirmed by the G meter tell tail. I don't know what the
unlimited's are pulling in the corners.


BTW I just finished a great book on the the
development of the P51 called "Mustang Designer Edgar Schmued and
the P-51" By Ray Wagner. The Brits criticized the P-51 as being too
heavy. North American initially used higher design G limits load factors
than the Brits. When the Mustang P51-G was redesigned for the lighter weight
using the Brit G limits it came out about 600 pounds lighter. The redesign
used thiner (.042 instead of 065) 2025-T6 skins in some areas. 7075T6 was
invented about that time but it was in short supply so North American decided
to make their own 2025-T6. Note the wrinkle in the GG fuse!

Thanks for redoing the calcs Peter.



Paul Lamar



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