Figures from actual measurements on my vehicle when towing a 2tonne+ caravan up a mountain range:
P1 = 1.00Bar Abs, T1 = 23°C = ~296K and
P2 = 1.98Bar Abs, T2 = 184°C = ~457K.
P2 = 1.98Bar Abs, T2 = 184°C = ~457K.
Our re-arranged equation gives us:
d2 / d1 = post-turbocharger density/pre-turbocharger density = 1.98/1.00 x 296/457 = 1.283
This means our turbocharger has increased the density of the air charge to ~28% above the ambient air. It is a long way short of the 98% increase we might have expected by looking only at the boost pressure to ambient pressure ratio (1.98/1.00 = 1.98).
Now let us have a look at the figures for the air entering the engine, after having passed through the vehicle’s standard intercooler.
P3 = 1.98 Bar Abs; T3 = 91°C = ~364K. The intercooler has dropped the air temperature by a massive 93°C ! Even better news is the air charge density we have recovered:
d3 / d2 = post-intercooler density/pre-intercooler density = 1.98/1.98 x 457/364 = 1.256
So we have now increased our air charge density by another ~26% by cooling it through the intercooler.
(The boost pressure before and after the intercooler is assumed to be the same. It was measured only after the intercooler)
Now the total increase in density is:
d3 / d1 = post-intercooler density/pre-turbocharger density = 1.98/1.00 x 296/364 = 1.61
or ~61% higher than the ambient air density.
Now we’re talking some serious improvement in performance, as long as we increase the
fuel supply along with this increased air charge.