blanchard7684
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Error 1. Overall you are using an overly simplistic equation of state to describe a system that operates via heat and mass transfer.But,,, unless the engine is at wide open throttle, neither engine is full of air. While driving around a manifold vacuum of 15 in-hg is pretty normal. 15in Hg converts over to about 7.3 psia (pounds per square inch absolute).
At sea level atmospheric pressure it typically around 14.7 psia, this pressure is also referred to as 0 psig (pounds per square inch gauge) or one atmosphere.
So driving around at that 7.3 psia in the manifold, each cylinder is only getting filled with about half of the air it could hold.
Now assuming you believe Boyles law (unlike someone else here) we can easily see what pressure another displacement engine would be at if it was ingesting that same amount of air.
Lets use this example,,,say you're driving down the road at steady throttle cruising with a manifold vacuum of 15 in-hg or 7.3 psia in a 6.2L Tahoe, burning however much fuel that amount of air can burn at stochiometric ratio (14.1 for 10% ethanol gasoline or 14.7 for pure gasoline). What manifold pressure (which will still be less that atmospheric pressure) would be required to fit that same amount of air in a 5.3L?
Using Boyles law and rearranging the equation to solve for P2, that makes the pressure in a 5.3's cylinders (that's holding the exact same amount of air as the 6.2 cylinder is at 7.3 psia), come out to 8.5 psia, or about 17.3 in-hg vacuum.
So for the 5.3 ingest the exact same amount of air, it would need to open its throttle body a little further than the 6.2 and allow 8.5 psia (of the 14.7 psia available in the atmosphere) to come in. Its still running at vacuum, but it's at higher pressure (closer to atmospheric) than the 6.2, but its holding the exact same amount of air.
Now that both engines have the same amount of air in them (just one at a slightly higher pressure at bottom dead center to hold it), if you inject the same amount of fuel, you'll end up with the same afr for both engines, even though they have different displacements. And if you burn the same amount of fuel, at the same afr, in two engines with the same efficiencies,,, then they make the same power at those manifold vacuum points ( 7.3 psia and 8.5 psia for the 6.2 and 5.3 respectively in this example).
This is the whole argument above about different cylinder pressures for displacements. All the pressures talked about so far in this thread are in vacuum/ below atmospheric pressure, just some are higher (closer to atmospheric) than others.
What I described above can happen for all power levels below whatever the power level is when the smaller engine reaches wide open throttle (355hp in the case of a 5.3).
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Error 2. Pressure is a measure of restriction in a flowing system. You are conflating mass flow of air to a measure of upstream pressure (in the intake manifold).
Error 3. You are assuming manifold pressure is equivalent to pressure at BDC of intake stroke. If it was the same, then how is anything flowing if there is no additional motive force from pressure drop?
Error 4.
"Rearranging and solving for P2 makes the pressure in 5.3's cylinders (that is holding the exact same amount of air as 6.2 at 7.3 psia) come out to 8.5 psia"
The natural and logical inference from this is that, for every increment of displacement I remove, I gain cylinder pressure at BDC. The higher pressure at BDC means the smaller engine maintains the same power as a larger displacement engine.
Error 5. You are taking a specific operating condition for a 6.2 and substituting it into a 5.3 and assuming the only variable that changes is manifold pressure. If throttle opens up a bit, so does engine speed.
Error 6. This example says the entire induction system upstream of the short block, is absolutely meaningless.
Error 7. The difference in performance between a 5.3 and 6.2 are only reflected at wot, and not at any other rpm range.