Hi,
ON A MORE GENERAL NOTE:
Is there a rule of thumb for how much power you have to lose to a geared, engine-driven supercharger in order to keep a full-throttle height of X thousand feet? Also, with respect to the following graph taken off the War Thunder forums, can Calum or some other knowledgeable person please explain why the higher boost pressure results in a lower altitude for maximum speed (and if I am right a lower full-throttle height) in a given supercharger gear? The way all three boost levels meet for the same Vmax at 12,000ft appears to be a neat coincidence.
I'm not quite sure which values you'd like to consider constant for your rule of thumb, but generally, the response will not be linear if you use the same basic engine and only increase supercharger capacity. Higher supercharger compression ratios will raise the charge temperature, which will lower the charge mass at the same boost pressure. Aftercooling can reduce the temperatures, but will increase overall drag, and lower the efficiency of the flow through the intake drag.
Higher boost pressure while keeping supercharger, supercharger rpm, and engine rpm constant (as well as the physical parameters of the engine) results in a reduced altitude for maximum speed since the supercharger compresses the air by an approximately constant ratio under these conditions.
Accordingly, if you need a higher boost pressure, you need a higher ambient pressure, which means a lower altitude.
The altitude for maximum speed is also called "full throttle height", because the throttle can be fully opened at that altitude (and above) without exceeding the maximum permissable boost pressure.
As the intake pressure with a forward-facing ("ram") air intake is not really the ambient pressure, but increased by the dynamic pressure caused by the relative motion between ambient air and aircraft. the values for full throttle height are slightly different between "static", climb and high-speed conditions. The more efficient the intake, the greater the difference.
That in the Spitfire graph, the three boost levels meet at 12000 ft is not just a coincedence, but the result of a falling ambient pressure. With the supercharger in low gear (probably called "moderate" or something in British terminology), at 12000 ft all the supercharger can deliver is +18 lbs/sqin boost pressure with the throttle wide open.
If your Spitfire XIV is cleared for +18 lbs/sqin, you'll have to close the throttle when you descend below 12000 ft. If it's cleared for +25 lbs/sqin, you can leave it wide open until you get down to about 6500 ft and thus gain a bit of speed at lower altitudes, as indicated in your graph. If you'd fail to close the throttle below 6500 ft, the engine would run at greater boost than +25 lbs/sqin ...
As usually, the limits in wartime were defined to avoid engine failures, you'd want to avoid over-boosting. The vast majority of WW2 aviation engines were fitted with automatic boost regulators to help the pilots with that, as excessive boost had the potential to destroy an engine within a very short period of time.
Boost pressure was only a coarse approximation for the parameters that decided if the engine was going to run OK, with charge temperature being another important parameter, so the method was not perfect. (Jumo at least managed to come up with sort of an analog engine control computer that accounted for charge temperature, giving them a better way to optimize engine power of the late-war Jumo 213, but that was a pretty complex solution.)
Regards,
Henning (HoHun)