The only way to know the answer is by turbo data sheets and comparing ultimate output (flow, or volume) at a given level of boost. Then calculating that flow vs the engine's displacement and volumetric efficiency.
Gaby will probably know this data.
Girevik77 said:
Engine displaces its entire volume for every 360 degrees of crank rotation.
No, a 4-stroke engine needs two complete revolutions to ingest it's displacement of air or combustible mixture, assuming 100% volumetric efficiency.
So it would be 720 degrees of revolution for a 100% efficient N/A engine.
For forced induction, volumetric efficiency is generally a fair amount greater than 100%, due to forcing more air into the cylinders.
So, more boost also means more air which increases volumetric efficiency, but only to a point.
There's a tradeoff of heat, boost pressure, turbo efficiency at low vs high RPM, turbo ARs etc.
So for your example, for a naturally aspirated engine with a volumetric efficiency of 100%, each flows half of your numbers.
3L x 6000RPM = 9000L of air per minute
2L x 6000RPM = 6000L of air per minute
Add turbos, which are at different boost levels to each other, and they could be each flowing enough to get each engine to the same amount of airflow as the other (hypothetically), meaning both turbos could be flowing the same amount of air per minute at a given boost level.
i.e.
N/A
3L x 6000RPM = 9000L of air per minute (3 x (6000/2) x 1.0) (the 1.0 for 1 bar of atmospheric air pressure at sea level, again assuming 100% efficiency)
2L x 6000RPM = 6000L of air per minute
Assuming 1.5 bar of absolute pressure is enough to get both engines to 150% volumetric efficiency:
3L TURBO @ 0.5 bar x 6000RPM
(3 x (6000/2) x 1.5) (the 1.5 for 1.5 bar absolute manifold pressure -> atmospheric + turbo)
= 13 500 l/minute
2L TURBO @ 0.5 bar x 6000RPM
(2 x (6000/2) x 1.5) (the 1.5 for 1.5 bar absolute manifold pressure -> atmospheric + turbo)
= 9000 l/minute
So, still the figures don't match the difference between the A45 and N55.
A45 was originally 265 kW (I know it was increased in 2016 I think)
N55 is 225ish, mostly?
So let's tweak the numbers so that the 2.0L T flows 17% more than the 3.0L T (based on an approx. 17% power difference?)
3L TURBO @ 0.5 bar x 6000RPM
(3 x (6000/2) x 1.5) (the 1.5 for 1.5 bar absolute manifold pressure -> atmospheric + turbo)
= 13 500 l/minute
2L TURBO @ 0.755 bar x 6000RPM
(2 x (6000/2) x 1.755) (the 1.5 for 1.5 bar absolute manifold pressure -> atmospheric + turbo)
= 10 530 l/minute
So, maybe it flows less and the A45 has a higher volumetric efficiency than the N55, or maybe they run the engine richer to make more power etc?
Volumetric efficiency has an effect on power, but it's only one factor out of a lot of things (removal of heat, mixture, engine inertia etc etc).