Shortround6
Major General
Not true the Rolls Royce R was running 21 lb/in2 from a single stage supercharger in 1931.
Actually it is perfectly true. For altitude performance you have to compare the ambient air (outside) to the manifold pressure.
Sea level air pressure is 14.7 lb/in2 so a supercharger with a pressure of 2.43 will handle it, perhaps a bit more for flying at 1-2,000ft.
Now at 16,000ft the air pressure is about 7.97 lb/in2 so to get 6lb boostin the intake manifold (20.7 total) you need a compressor that will deliver a 2.59-2.6 pressure ratio.
The Merlin 61 gave 12lb of boost at 23,500ft (26.7lb /in2 total pressure) but the air at 23,500ft is about 5.82 lb/in sq. so you need a pressure ratio of about 4.59:1 . Rolls claimed 5.1:1, they may have used a different pressure chart?
NO single stage compressor could reach much over 4:1 pressure ratio with any sort of acceptable efficiency and most were around 3:1.