20 yrs ago a friend was able to inter the formula for adiabatic compression [at out side temp and 14.7 psi which numbers could be changed] in my computer and from there we made up a program which had the ideal temp rise or 100% efficiency --45%--65% and 75% across top of page and boost pressure from 2--100 psi
down left side. This was done in Lotus [sp] saved program but doesn't work in my current computer but I printed
out results and saved some.
This formula I got from the book Turbocharging by Huge Macinnes
Roots blowers were listed at 45%-50% efficient tubos and centrifugal 65 --75%
Print out at 70 deg day 14.7 psi atmosphere at 14 lbs boost shows 315.51 at 45% efficiency--239.97 at 65%
and 217.31 at 75%
This print out is more like Bville with less atm psi at 12.7psi and 70 deg day [ well 70 in the morning ]
14 lbs boost 345.64 at 45% 260.83 at 65% and 235.38 at 75%
These temps are just compressed air adding fuel or gas not figured, in but alcohol and nitro added to roots blowers makes them work from the laten heat of evaporation.
The colder the air the higher the density and results in more mass of air in engine and vice versa with hotter air.
This is why we use Procharger superchargers
And they do have the latest designs.
Also with the Procharger you can run a larger intercooler.
JL222