Max Boost Before a Charge-Air Temperature Limit
The inverse of the turbo pressure-ratio tile: the gauge boost at which the compressor-outlet charge-air temperature reaches a limit, boost = ambient x ([1 + eff x (T_out/T_in - 1)]^(1/0.283) - 1). An 80 F inlet, 70% compressor, 250 F limit tops out near 15 psi; a more efficient compressor or a cooler inlet buys more. Compressor-outlet temp (ignores intercooling). A planning estimate; the compressor map and engine build govern.
Formula and source
PR = [1 + (efficiency/100) x (T_out/T_in - 1)]^(1/0.283); max_boost = ambient_psia x (PR - 1); temperatures absolute (Rankine). The charge-air-temperature model solved for the boost.
Turbocharger charge-air-temperature model (compressor-map sizing; ideal-gas adiabatic compression with gamma = 1.4) solved for the boost, first-principles, by name; the compressor map and the engine build govern.
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