I define efficiency as getting the same boost out of less capacity. Might not be more efficient if it takes more hp to do that. That's what I don't know about the Chevy 1.7l Eaton.
I certainly never thought that way before about the dominant excitement mode for my crank, but I'm digging the harmonics. Thank you for that!
Well, as the say, "it's complicated." Let's break this down. Let's define the supercharger efficiency as the amount of boost output, divided by the HP input. Thus, more HP input for the same amount of boost is less efficient.
As the RPM of the supercharger increases, the pumping losses increase, due to just thrashing the air around as it goes through the blower. So, one might think that a larger blower, operating at lower RPM (at the same boost), would be more efficient. And it is, to a point. But, if you spin the blower too slowly, you lose boost due to leakage around the rotors. Even though we call this a "positive displacement pump" (unlike turbochargers), the rotors don't seal perfectly. There is some gap between the rotors and the housing, and the slower the RPM and the higher the boost, the more air squeezes through the gap, reducing the boost and thus efficiency; and larger blowers have more total gap than smaller ones; and of course, they weigh more and take up more space.
So, the efficiency of the supercharger depends on RPM and boost. I went to Whipple's web site to try to find the efficiency curves, but they weren't posted publicly, otherwise I'd put the link here. But, what you should take away from this discussion is that choosing a blower is, like almost everything else about engineering, a process of choosing trade-offs. For the Chevy application, that 1.7 l. blower operating at higher blower RPM might be the most efficient way to go. From an efficiency point of view, a smaller blower might even be more "efficient" for our FGTs, but it won't produce as much torque and power at WOT and high engine RPM. And I sorta suspect that the vast majority of us are not too concerned about EPA efficiency.:rofl
Adiabatic heating: This is the heat of compressing the air. The heating of the air as it passes through the supercharger is almost entirely due to the compression in the supercharger, and not to the waste energy of thrashing the air through the supercharger. The size of the supercharger makes little difference in this heat increase, but higher RPM has a small influence.