P
pbehn
S
Shortround6
W
wuzak
What gearing would you guess the V-1710 would have needed to get 16200-16500' FTH without ram-compression?
It is getting self defeating.
there are a chart and an explanation on Page 344 of "Vees for Victory" showing the power needed by the supercharger to flow various amounts of air using different gear ratios.
The example goes something like this, Assume 10,000lbs of air flowing through the engine per hour, that is enough to make 1672hp in the cylinders (IHP) but the engine uses 147hp in internal friction, power internal drives and pumps. This cuts the power to about 1525hp and the 6.44 gears need about 110hp to supply that much air leaving you with 1415hp to the prop.
an engine with 9.60 gears needs about 240hp to drive the supercharger leaving you with 1285hp.
You also have a 9.5in impeller spinning at 28,800rpm with the 9.6 gears. which means the tip speed of the impeller blades is 1193fps if I have done the math right.
the speed of sound at sea level on a standard day is 1125fps. the higher pressure and temperature inside the supercharger allow for higher speeds before the tips break the sound barrier but obviously things are getting a bit tight.
Then you have the heat problem, the faster you spin the impeller the more you heat the intake charge and the closer you get to the detonation limits which can cause the peak pressure to be reduced. 8.80 gear engines were allowed to use 60 in of MAP for WER while the 9.60 gear engines were limited to 57in.
This also shows up with either (or both) reduced power for take-off or at low altitudes. The 8.80 gear engines in the P-40 made 1490 hp at 4300ft using 56in of boost (and 1580hp at 2500ft using 60in with the -73 engine). the 7.48 geared engine in the A-36 made 1500hp at 5400ft using 52in of boost. the 9.60 engines were rated at 1360hp at sea level using 57in. snf by opening the throttle made 1410hp at 9500ft at 57in.
They paid for that 3-3,500ft of altitude by losing about 80-125hp at sea level.
trying to go for 16,500ft is going to get you more of the same, less power down low, pushing closer to the detonation limits and pushing the engine harder for that last 1000ft of altitude.