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People, does anyone has a good (online, if possible) source with charts of engine powers vs. altitudes? Or some kind of tables?
Appreciate it in advance
Simple charts can be done if you know the power at a given altitude, say 1200hp at 16,000ft in high gear.
plot the 1200hp at 16,000ft on a graph and and plot "0" HP at 55,000ft. Connect with straight line and it should be pretty close at any altitude above the 16,000ft mark.
Some discrepancy about the "0" point some say 56,000ft or higher but it won't throw things off by that much.
If you have access to an atmospheric density or pressure chart you can use the percentage change of either density or pressure between a known altitude (as in the above example, 1200hp at 16,000ft) and an unknown altitude (what would the sample engine give at 24,000ft?)to estimate the the power available. as in pressure at 16,000ft is 16.21 in.hg while the pressure at 24,000ft is 11.59in.hg or 71.5% of the pressure at 16,000ft. Our engine should make about 71.5% power at 24,000ft compared to 16,000ft.
It may not be exact but it should be close.
Going from the known height to sea level is a lot trickier. The theoretical output of the engine should follow the same line(curve?) but problems with engine strength, cooling, and detonation almost always mean that power output is either held constant from sea level to rated altitude or actually declines from rated altitude towards sea level.
2 speed engines have two peaks and the DB engines would show a curve rather than a saw tooth as the descend from critical altitude.
Here is a table and graph for the Allison -33 found in P-40B/C.
I haven't made much sense of the graph on page two.
http://www.raafwarbirds.org.au/targetvraaf/p40_archive/pdfs/1710-33.pdf
There are more of these for later Allison versions at the bottom of this page:
Perils P40 Archive Data
You might even find info for the Packard built Merlin fitted to later P-40Fs.
R-2800s is actually a pretty consistent engine in a supercharged configuration up to about 20,000ft, and more so in a turbo configuration up to 30,000+ ft.
Most power charts i've seen are derived from aircraft performance tests which give these numbers.
Manufacturers recommended outputs also tend to be conservative for liability reasons, although they also recognize that the expectation of having pilots fly with in recommended conditions may not always suit an emergency situation. They'd rather see the pilot push the engine at the cost of some engine life, rather than risk the pilots life.
Bill
Here is a table and graph for the Allison -33 found in P-40B/C.
I haven't made much sense of the graph on page two.
http://www.raafwarbirds.org.au/targetvraaf/p40_archive/pdfs/1710-33.pdf
Bill
With all this in mind each aero engine sort of has a distinct and unique character of performance by altitude which cannot be represented in a simple one-two calculated line graph projecting by guess work.
To outline, the character of the Merlin is given at 2000m, that of the Daimler at 1000m. The BMW under 1000m, the Jumo 213 at 5000m and the Allison is the most interesting disparity between published figures and actual performance, it's character is given at 12,000' but it was a completely different animal under 5000' which many are not aware of, I've talked to RAAF vets who rated it as highly as a Spit at that height.
They're like personalities. A properly modelled graph using comprehensive data input would be filled with kinks and troughs for every aero engine type.
For example Thunderbolts reportedly had overspeeding problems with the turbo at high altitude which killed performance that should've been available. So you need to go by actual test flight records and stick to those figures, without projecting imaginary lines outside their specific range or it's just fantasy.
let us take the Allison you mentioned. There is a very good reason it performed so well at 5000ft and it is reflected in the charts.
Charting the Allison performance at low altitude by extending the graph from its performance at 12,000' doesn't give you its WEP tolerances (for the F-series motor) at 5000' which is the difference between ostensibly 1150hp and 1650hp. You'd never come up with the latter figure if you didn't know about the WEP potential of the motor under 5000' since about the most you can squeeze under WEP at throttle height is 1200hp. Any simplistic graphical extension would project this for maximum sea level performance.
It is because what Allison Div called throttle height (12,000' for F-series) was for the military rating, which under European standards is the climb setting. The throttle height for WEP, which under European standards is take off and emergency, is actually closer to 5000'. And you'd never know this by simply extending charts unless the additional power setting for under 5000' was stipulated.
If this disparity was not specifically mentioned in a given chart and only the military setting figures graphed, then you would need to model the engine itself using a comprehensive engineering software like Engine Analyzer Pro before you ever suspected it. How would you know otherwise, lucky guess?