Here is some math the 429idi did a while back when I asked him how to calculate cfm and also boost for my M112. Maybe this can help you.
"The math is pretty simple.
420 cubic inches
3300rpm. (use 1650 since it's a four stroke)
1728 to convert cubic inches per minute to cubic feet per minute.
.85 estimated ve
420x1650=693000/1728=401cfmx.85= 340actual cfm@3300rpm
The m90 is called that because it moves 90 cubic inches of air per revolution, so you just figure it like an engine. Of course superchargers, like engines, are not 100% volumetric efficient.
90x12000=1080000/1728=625cfm An m90 has an actual flow at 12000rpm of 535cfm@10psi and ~550cfm@5psi
None of these figure for thermal expansion due to temperature increase, but they will give you an idea."
Here is the info for boost on the M112:
"The actual flow was not calculated, I have the blower maps on my computer.
To make 10 psi at 3300rpm you will need ~40lbs/min of air flow. 40/.075=533cfm. (a cubic foot of air weighs .075lbs at 70 degrees)
An m112 needs to spin ~9800rpm to flow that.
9800/3300=2.96
7/2.96~2.35" pulley
The crank pulley is 7", 2.96 is your sc to engine ratio.
2.96x112=332 cubic inches per engine revolution
332/210(half of 420)=1.578 pressure ratio
1.578x14.7(atmospheric pressure at sea level)=23.2psia
23.2-14.7=8.5psi boost without figuring for temp increase, and the s/c has a higher ve than the engine, so boost would be higher. In a real world setting, it would be 10-11 psi boost.
The unfortunate thing, is that you probably can't get a pulley that small. The smallest one I have seen is 2.7", which will give you ~8psi."