I think you may be overthinking it. Simply put more fuel = hotter.
there’s a lot going on in the engine, for one higher N1/Ng will mean higher intake temp.
Also primary combustion uses only approximately 20% of the compressed air then around 20% secondary air is used to complete combustion the rest is mostly used to cool the engine. I suspect part of your answer may come from the proportion of this ratio as it changes for different fuel flows and is not linear compared to compressor speed but that would be a guess.
A running engine with flat pitch will burn less than half the fuel but the compressor isn’t spinning at half the speed.
Last edited by SLFMS; 23rd October 2023 at 07:35.