I think I'm missing something here....
Isn't the volume of air the setup can move equivalent to whatever the primary is capable of moving? The second stage just increases the pressure and subsequently temperature - not decreasing volume.
It's not immediately intuitive, but the answer is no. The volume flow through the system is not constant. Not even close. Each compressor (whether mechanical [turbocharger] or thermal [intercooler] ) reduces the volume flow rate of the system by
compressing the charge air stream into s smaller space.... decreasing it's volume. And since
mass flow
is constant, and you are decreasing the volume, the volume flow must come down. And since density is mass/volume, this makes perfect sense, as the entire point of forced induction is to increase charge air
density. More mass in the same space.
If you need proof of this, just think about it.
A 360 cubic inch engine displaces 360 cubic inches every two revs (we're assuming 100% VE here for simplicity). Well, if it displaces 360 cubic inches every two revs, and it's spinning say, 3000rpm, then it's displacing 312 CFM.
The key thing to make your mind accept is that there is literally
only 312 CFM worth of space available inside that engine. Unless you swell the cylinder walls it's not getting any bigger. Ever.
As boost climbs, that number..... does nothing.... it's always 312 CFM at 3000rpm at 100% VE. Boost does
not change the volume of air moving through an engine. It changes the density of that airflow. If the volume increased, then you'd have to ask yourself, where the hell did it go then? Cause again.... the engine doesn't swell up when it comes under boost. Well, sometimes they do, but that involves a bunch of coolant and oil all over the ground.
Okay.... so we're good I hope. A 360 cubic inch engine is going to displace 312 CFM at 3000rpm and 100% VE all day, any day forever. No more, no less.
Now look at what your turbocharger is bringing in.... If it's a decent set of compounds you're talking 2000ish CFM coming in that thing. The fact that you can have this much and more volume flow coming in and not have any more than 300 some odd CFM moving through the engine is proof that the volume flow decreases dramatically throughout the system. The volume flow decreases proportionate to the density ratio the system achieves from first stage to intake manifold, including all intercooling.
I can understand that if you want a smaller secondary to light at a lower RPM for instance, you are sacrificing overall performance on the "high end" due to the heat addition of the air in the smaller secondary. So if you were to run a large secondary lets say maybe 2.5/2.8 or 2.6/2.8, you are not heating the air up as much if you were feeding a stock charger, but the pressure has to be less than with a smaller secondary (assuming constant volume).
If the above statements are true, then:
1. A larger secondary requires less intercooling (inter-stage or post-secondary) to be as effective as a small secondary assuming the same primary.
Correct. If the second stage is capable of higher volume flow (larger wheel) then you do not need as high a density ratio between stages through intercooling to allow all the air from the first stage to "fit" through the second stage. Not coincidentally this is largely based on the same concept of dynamic system volume flow I touched on above.
2. The setup with a larger secondary would move the same air at a lower pressure and temperature than a setup with a smaller secondary.
Correct me if I am wrong please.
The only way to move more air
mass by altering the second stage is by increasing the density ratio across the second stage either by increasing the PR for any given efficiency, or by increasing efficiency for any given PR, or both.
It's not a case where bigger is always better. If the bigger compressor starts slipping off of efficiency toward the surge line and a smaller one stays nearer the highest efficiency islands then the smaller compressor will rank a higher density ratio for any given PR and mass flow.
I guess I can't answer your last question in a general way. It's a question that must be answered for a specific scenario.
Or if not, I'm not bright enough, or familiar enough with the concepts to see how to generalize it right now.