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Part of the problem was that they were running into that trans-sonic drag thing. (if I have that right) were the drag rises more steeply at around mach 0.6 or 424mph at 20,000ft. SO a lot of the early estimates were somewhat off.
Transonic drag usually starts at the leading edge where the rate of change is highest for conventional airfoils (I.E a fat wing has a steep gradient in t/c). The local 'transonic bubble' moves aft to the max T/C (25% for conventional, 45% for a Mustang) as the local flow from leading edge to the Mac T/C approaches M=1. At or about that local 'velocity point' the full blown shock wave forms.
The 'drag rise' defined as a 10 increase in Cdo (The compressibility factor of drag added to Cdo) is associated with the build up from the adverse pressure gradient now beginning at the leading edge of the airfoil instead of the incompressible flow separation normally associated around the max T/C..
The point was reached as low as M=.55-.60% for the P-38, closer to .60-.62 for the 109 and .66 for the Mustang
Different airframes and airfoils ran into this problem at slightly different speeds (slightly being 20-40mph?) but if the onset of the drag rise was at a bit higher speed it offered a considerable advantage in that critical just over 400mph area.
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The Charts are a simple ones and just addresses the wing drag and not fuselage or fuselage to wing/stabilizer junctions (or radiators/canopys, etc).
A 10% change in the drag co-efficient in an 20-30mph speed range is going to play havoc with the drag calculation since the power required goes up with the cube of the speed and the higher speed needs 10% more power before cubing?
It may be that getting very fast prop fighters (over 440mph??) required not only a lot of power but some rather large elements of luck. Luck in that the shapes chosen for the fighters was done without full knowledge of the problem?
Some designers/teams guessed right and some guessed wrong?
If Curtiss was given the go-ahead to manufacture a "new" P-40 replacement for the late war period, which would be better, The P-40Q with its two stage Allison, cleaned up aero and bubble canopy, or the P-60A (turbo V-170) or P-60D (2 stage Merlin) with its laminar flow wing and revised cooling systems?
Take for instance, the XP-56 for example. The first one was lost due to tire blowing out but the second one was performing well except the engine was not generating full power and the aircraft was flying nose heavy. Issues which could have been reasonably solved but no effort was made due to the above issues.
Meaing it was a dog in comparion to more conventionally-designed aircraft.
Most of the R-2800-powered fighters did breal 400 mph, even one version of the F6F did.
All flew, but none made production. There are more such oddities, and it's almost as if everyone thought the other guys were onto something new until they built one for themselves and found out otherwise.
Would any of these planes perform better than the P-51? Why waste the money, build more P-51s.
I think that if you look at the main fuselage size, not including the aerodynamic flaring behind the cockpit, you will see that there is only a small taper from the engine area to the propeller, certainly not as much as on the 400 mph B-36 engine nacelles, which appears to be about 50% or more over a short distance. And since the XP-56 was cancelled before any wind tunnel testing, flow separation and turbulence concerns are hypothetical.There were more issues with the XP-56's performance than the engine giving less than expected power.
The size of the R-2800 and the shortness of the fuselage meant that the transition from the biggest cross section around the engine was quite steep causing flow separation and turbulent air ahead of the propeller.
Additionally the exhaust was ejected into the turbulent flow and the cooling outlets were just ahead of the prop.
The XP-56 may not have cracked 400mph even if it had 5000hp.