OK Mega Post Alert and if you fit a Supercharger you need to understand the maths!
Most engines will take 5 - 6 Psi boost without doing any mods other than timing to prevent detonation from increased cylinder pressures.
When fitting a supercharger, you should match the swept volume of the supercharger to the size of the engine. If the choice is made carefully, problems from overboosting and the required paraphernalia and tricks to solve these problems will be minimised.
The supercharger will also be kept in its safe operating speed with correct selection.
To choose a setup you need to know :-
1. Engine capacity
2. Maximum engine speed you will be using.
3. Boost level desired
I am setting out the calcs needed for a 2200cc engine in the steps below. (Because I have already done them to suit)
FIRST CALCULATION (Engine Litres/min @ 0 Psi )
Multiply engine capacity (in litres) times maximum engine Rpm. E.g. 2.2 litres x 5500 rpm = 12100 litres/minute. Divide this figure by two as engine only fills every second stroke. (12100/2 = 6050 litres/min.
This is the engines air requirements in litres/minute at 0 Psi boost.
SECOND CALCULATION (boost ratio)
Add the boost pressure desired (4 Psi) for the engine to 14.7 Psi (atmospheric pressure this is the weight of air for a better description).
(4 psi boost desired +14.7 =18.7 psi)
Divide this answer by 14.7 and this gives the boost pressure ratio. (18.7/14.7=1.272) This is the boost pressure ratio above atmospheric pressure.
THIRD CALCULATION (Actual air requirements @ desired boost)
Multiply the boost ratio by the litres/minute obtained for 0 Psi and you get the actual air requirements in Litres/min for the engine at that boost. In our example this is 6050 litres/min X 1.272 = 7695.6 litres/min for 4Psi boost.
Still with me? That bit is the easy bit!
To decide on the correct size of supercharger you need to know :-
1. The swept volume per revolution of the supercharger. (Eaton M62 1 litre/rev, SC14 from a 1G-GZE 1.5 litres/rev)
2. The maximum continuous safe operating speed for the supercharger. (Eaton M62 14000 rpm continuous, Toyota SC14 12000 rpm??)
3. The maximum pressure that can be safely produced by the supercharger continuously. (Eaton M62 12 psi, SC14 10Psi??? Heat issues??)
CALCULATION (Supercharger rotor speed)
Divide the desired air flow (7695.6 L/min) by the swept volume of the supercharger (SC14 from the 1G-GZE is 1.5 litres per revolution). This will tell you the maximum speed the supercharger rotors must be run at to produce the volume required.
7695.6 /1.5 litres = 5130.4 rpm for the SC14.
7695.6 /1 litre = 7695.6 rpm Eaton M62
CALCULATION (Pulley size ratio)
Divide the rotor Rpm by maximum desired engine rpm to get the drive ratio of the pulleys. For an SC14 on a 2200 @ 4psi boost the desired supercharger pulley ratio is
5130.4 /5500 rpm = 0.9328. So With an 8" shaft pulley (the diameter or distance around the pulley) on the supercharger the crank pulley for this ratio would be 7.462".
EXAMPLE OF CHANGE OF DRIVE RATIO
If the 2200 cc engines supercharger pulley ratio is increased to .8 using the 1.5 ltr/rev SC14 charger, the volume of air produced when running to 6000 would be 6000 x 0.8 x 1.5 litres =7200 litres/min
Boost produced would be 7200 litres/6050 litres (at 0 boost) =1.190 boost ratio For Psi boost ((1.190 x 14.7) - 14.7)=2.73 Psi. at idle and 4 + 2.73 psi at full boost (6.73PSI)
Hope this helps.
Yes I am a maths geek

and Yes I am a computer Geek to find all this crap in the first place, now I need a rock to hide under!
Edit: to correct for finger problems

and correct the maths thanks NJV6. Oh second edit to correct spelling in the edit
