Glad you brought this up. When the compressor side of the turbo creates pressure as we all know compressing that air creates heat. Now let's say Sam would get 2 psi at 350. Is that compressed air heated or just the ambient air temp.
If it is ambient temp and we wanted say 15 lbs. of final boost then it would seem to me that the turbo only has to compress the air to 13 lbs. and the other 2 would come from the boost from the speed. Is that right?
And if that is right is the 15 lbs. of boosted air the same temp as the temp rise for 13 lbs. of boost or 15??
The turbo only sees the inlet air density and the pressure ratio it is compressing it to.
If ambient air pressure at Bonneville was 12.5 psi and you wanted 15 psi boost for a manifold air pressure of 27.5 psi absolute, your pressure ratio would be (12.5+15.0)/12.5
So the turbo would be operating at a pressure ratio of 2.2:1
If you were getting a ram air boost of 2 psi, then the effective inlet pressure would be 14.5. To get to that same manifold pressure of 27.5 you would need to get 13 psi boost, so your turbo would be working at a pressure ratio of (14.5+13)/14.5 = 1.89.
Since the turbo is working at a lower pressure ratio the outlet temps would in almost all cases be lower. There would be some heating due to compression in the ram boost, so the inlet temps would be slightly higher in the second case but depending on the efficiency of the ram boost recovery and the compressor efficiency of the turbo, outlet temps would very likely be lower. More importantly if the turbo was working at the limit of its efficiency that extra inlet pressure might allow you to reach boost levels that would be unattainable without the ram air effect to increase the turbo inlet density.
The efficiency on many turbo compressors falls off very quickly when they get over a 2.0 - 2.5:1 pressure ratio.
Larry