Here's something I've always wondered about, regarding turbocharging vs. belt-driven centrifugal superchargers:
Centrifugal superchargers produce boost based upon engine speed while turbochargers produce boost based upon engine load. Consider the following example:
We build two identical cars, one with a turbocharger and the other with a centrifugal supercharger. Both produce identical power and both cars have a 10 lb wastegate.
In neutral, rev both engines to 3000 rpm and note the boost. The supercharger’s boost is 10 psi due to being related solely to engine speed and because the throttle is nearly closed (because it’s in neutral with no load.)
The turbocharger’s boost will be very low because the engine is producing little exhaust pressure and because the throttle is nearly closed.
Now apply a load by driving both cars up a step hill, still at 3000 rpm. Turbocharger boost will be 10 psi because the engine is burning a lot of fuel and the throttle is wide open. The supercharger boost will be far less, perhaps 5 psi, because the boost is based upon crank speed and the open throttle decreases the measured boost.
Net result: the turbo car will walk away from the supercharged car. Is this a fair comparison? The centrifugal supercharged car can downshift, increasing the rpm of the supercharger. Or, the gas pedal can be pushed further to builder higher engine rpm to bring the supercharger up to the point that it’s producing full boost. However, this takes time, which is the same as lag.
The key issue is that the pumping efficiency of a centrifugal compressor, be it in a turbocharger or centrifugal supercharger, is proportional with the square of the speed of the turbine. That is, its efficiency will increase by a factor of four by doubling the rpm of the impeller.
Because of this, the centrifugal supercharger, at low rpm, is producing little boost. Either it must be geared to spin faster at low rpm or the engine rpm must be increased until the compressor impeller gets to its “sweat spot” and produces full boost. If it geared to spin fast enough to produce full boost at low rpm, at higher rpm it is severely heating the intake charge.
The point is, under identical loaded conditions, a traditional turbocharger can be not only equal to a belt-driven unit, but superior. This is why big trucks tend to use turbochargers; they work great under load, independent of engine rpm.