G'day,
Volumetric efficiency is a measure of the quantity of fuel/air charge induced into the cylinder as compared to how much the cylinder could contain just sitting there under static conditions.
You're right in a way, there is a tendency to improve the volumetric efficiency as you climb since the decreasing outside air pressure reduces the back-pressure on the exhaust which makes it easier for the exhaust stroke to purge the cylinder of burnt waste gases, making more space available for the new charge on the next induction stroke.
However the reduced air density has a much more detrimental affect on the volumetric efficiency and so you will tend to get a net loss in power output as you climb.
It's true that if you lower the temperature at a given pressure altitude the density of the air will increase. However in this case we are not staying at one altitude but increasing altitude as we move to the right along the X-axis of the graph in Fig. 4.8.
As you climb, the cold will make the air molecules move closer together (increase density) but there will be far fewer of them because of the increased altitude. There will actually be a net decrease in density as you climb despite the temperature effect.
Lower air density means less volumetric efficiency which means lower power output.
In a normally aspirated engine, this effect will be noticed as soon as you start your climb. However, if we can find some way to artificially increase the pressure at the inlet manifold, we can delay the onset of this effect significantly. That's the point of turbocharging.
Let's take a closer look at Fig 4.8 to make sure you understand the effects.
Normally Aspirated Engine:
The normally aspirated engine we are considering can produce 200 hp at sea level using full throttle. As it climbs (at full throttle) the air density decreases with altitude and so too does the volumetric efficiency. There's simply fewer air molecules getting drawn into the cylinder. That will mean the engine will steadily produce less power.
If you kept climbing, at some point the engine is unable to produce enough power to maintain any climb and the aircraft will end up hanging in level flight just above the stall.
Ground Boosting:
Let's ground boost the same engine. In this example engine, the inlet manifold of this engine is actually able to cope with higher pressure than that produced at sea level with full throttle, so let's fit it with a compressor to boost the inlet manifold pressure.
Now, at full throttle at sea level the engine is now able to produce 300 hp. However, as the aircraft climbs, the air density still decreases and so too does the volumetric efficiency of the cylinders. This will theoretically start to have an effect on engine power output as soon as we leave the ground.
We still lose engine power as we climb but because we started with a higher max power at sea level, the altitude at which the engine can no longer support a climb is greater than that reached with the normally aspirated engine.
Altitude Boosting:
Let's now consider the same engine but this time with altitude boosting. A beefier compressor is fitted enabling an engine to theoretically produce much more power at sea level - 400hp in this case. Our example engine however can only handle 300hp so we need to protect it by not using full throttle initially and keeping the power output at a maximum of 300 hp.
You will therefore need to climb with reduced throttle setting to prevent overboosting but as you climb and the air density decreases you can steadily increase the throttle setting and maintain the manifold pressure required to produce the 300 hp.
In this engine, the throttle setting for 300 hp maxes out at about 11000 ft and after that, just as with the other two engines, the decreasing air density will start to directly affect the volumetric efficiency and therefore the power output of the engine.
Altitude boosting simply delays the onset of the loss of volumetric efficiency until a much higher altitude. Both the ground boosted and the normally aspirated engines started suffering power reduction as soon as they left the ground. However all of them will suffer at some stage with the thinning air.
No but wouldn't it be great if that was true - as you climbed higher, the power would increase and you could reduce the throttle setting until eventually you were climbing with no power at all. Unfortunately, physics doesn't give us any breaks that way
What you need to remember is that the air density decreases with altitude and lower density = lower power output.
The best we can do is delay the inevitable power loss by using turbines and compressors to artificially increase or maintain the pressure at the inlet manifold despite the decreasing air density outside as we climb.
Cheers,
Rich