trinity_gt
10 Year Member
Is that actually true? I may be wrong, and I welcome someone to set me straight, but I haven't had someone convince me of it yet. So density is mass/volume. The volume of the fenderwell or underhood is fixed, no? So the only way to increase the density of that air is to increase the mass. But we know we're not doing that. So therefore, my logic says the density doesn't change.
The volume of the fenderwell or under the hood doesn't matter.
For a given barometric pressure and humidity, temperature will define the density. For a given volume, what must change is mass.
Air density is approximated by p = P/RT where p is the density, P is the absolute pressure, R is a gas constant and T is absolute temperature. Assuming 101.3kPa barometric pressure (P), a gas constant of 287.05 for "dry air" and a temperature of 25oC, the density of air is 1.184kg/m^3.
So let's assume that the air we pull in from the fenderwell is at 25oC. Every cubic meter of air the engine pulls in will have a density of approximately 1.184kg.
If we up the temperature of air being pulling air from under the hood that's at 65.6oC (150oF). Now the density of that same cubic meter of air is only 1.042kg. This is a difference of 0.l142kg or 12%.
12% less mass means 12% less constituents, one of which is oxygen.
I think of this analogy. I go to a nitrous bottle in my garage. The volume is fixed (by the cylinder), and the mass is fixed (since it's sealed). I put a torch on it to heat it up. The temperature goes up significantly, but the density of the nitrous inside doesn't change.
Right, but this situation is not like the air in an automotive intake tract because you're allowing pressure to increase in the bottle while mass and volume are artificially constrained, mass particularly incorrectly. The barometric pressure at the inlet to the intake tract is comparatively constant over the range of temperatures. It doesn't really change much from 101.3kPa whether it's -20oC or +60oC. We know the volume consumed by an engine is fixed (swept volume, VE etc) so if temperature varies then the mass of the volume consumed by the engine has to change. See above.
Hotter air is less dense air, less dense air has less oxygen with which to burn fuel and thus it has less power producing potential. This is why inter- and aftercoolers exist.
I still maintain that it doesn't make a significant difference on power output, especially on a car that has an intercooler that is going to largely even out the temps anyway, and when the difference in temps isn't enough to add any more timing.
A 13% reduction in the mass of air from pulling in 150oF underhood air versus 70oF ambient air will result in a power loss and it will also make an engine more prone to detonation.
Gale Banks agrees:
http://www.bankspower.com/techarticles/show/22-cool-air-equals-power