But it's not just compression it's things like cam overlap, manifolds, heads, valves, etc.
This is why the easiest and most accurate way is still a dyno. Like you said you can get close but to perform at the top tier you need real data.
Volumetric efficiency itself is a measure of how well the geometric compression ratio translates to actual compression of the air. Boost doesn't affect volumetric efficiency, only the density of the fluid. However at certain pressure ratios, the laws of compressibility alter the volumetric efficiency of the engine, because compressibility changes the rules of airflow. When the air approaches sonic velocities(achieved when pressure ratios approach 2:1 between a reservoir and a throat) then a constriction increases pressure, which is the opposite in a subsonic flow.
Think about this when designing intake manifolds, thin long runners are great for low speed operation, because it increases velocity of the air, at higher mass flow, the pressure ratio between the manifold and runner approaches 2:1 and you get sonic choking at the throat. So you design big fat short runners for high mass flow, but then the air doesn't accelerate enough at low speed. So then you try to get the best of both worlds, you use really smooth bell mouth runners to get more flow at low speeds, while still flowing well at higher mass rates.
Look I'm not going to argue with you. (I have 9 ASEs) You're right the VE calculation, it is the measurement of air actually in/compressed vs theoretical at sealevel 14.7 psi. However you are dead wrong on boost not affecting VE. On boosted engines VE can be over 100%. Air pressure affects VE as does RPM etc.
The short answer to your question about compression not being a constant is VE.
There's only 8 ASE certs, I got'em all. Boost affects density of air, not VE, because boost doesn't affect the mechanical volume of the piston and cylinder. VE relates to volume, not to density, it's in the name Volumetric Efficiency, how efficiently you can fill that volume. VE is affected because of boost because of the pressure ratio in the manifold vs the cylinder. When pressure ratios approach 2:1 IE at and above 10 psi of manifold pressure(24 psi absolute), you have to treat the airflow as a compressible fluid. Thus the geometry that worked so well at a lower pressure ratio will work differently at a higher one.
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