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IdahoRenegade
Airman 1st Class
My take on the P-38 is that the Allison was rated at 1,425 HP (in the P-38J and later, anyway) with 1,600 HP at what would be WER. The propellers could handle that much HP and the turbocharger allowed the Allison to maintain more of its HP to a much higher level than simple single-stage supercharging did, but they never did run too much HP to the props at any altitude. The P-38 never really got a big shot of extra HP. Yes, it went from early Allison levels (1,050 HP) up to 1,425 HP / 1,600 HP, but the prop could handle that. Had the P-38 gotten an engine of maybe 2,250 HP, I think it would have needed some propeller attention, but since it never really did take a big HP jump, it wasn't necessary. Also, had the P-38 gotten a big HP jump, it would have been even easier to get to critical Mach number and have compressibility issues. That's the probable main reason it never DID get a lot more HP ... it was already pushing the critical Mach limit somewhat too often.
...Overspeed to maybe 3,150 engine rpm would not be a big deal because you'd be in a dive and not really wanting more thrust. Hitting critical Mach number in a dive would be a MUCH larger concern than propeller efficiency ... at least to the pilot.
In terms of HP of the '38, each engine wasn't far behind the Merlin in the '51. I have seen various source quoting mil power at 1425 or 1475 with WEP (depending on fuel and boost) from 1600 to 1725. Not a lot off the 1490/1720 of the '51, which obviously got the 4 blade prop. And at high altitude the HP on the Lightning didn't fall off as quickly as the '51s did with a mechanical supercharger. Your comment about how quickly it could already hit critical mach does make a lot of sense though. There might simply not have been the perceived need.
The other issue perhaps comes down to the single-source production of the '38 until the very end of the war (when Vultee built 100 or so). WPB was hesitant to allow anything to shut down the Lockheed production line. That at least was the claimed reason the P-38K never went into production. I need to study up a bit more on prop mechanisms to appreciate how big a change that would have been and how the mechanism actually works.