T₂ = 298 K × (1.8/1.0)^0.286 T₂ = 298 × 1.8^0.286 1.8^0.286 ≈ 1.178 T₂ ≈ 351 K → 78°C (theoretical ideal).
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“Cooling after compression is like cheating physics,” Kael grinned. “You increase density without losing the work already put in.” The turbo didn’t work instantly. At low RPM, exhaust flow was weak. Kael plotted mass flow rate vs. pressure ratio on a compressor map. The surge line showed where airflow reversed—flutter. The choke line where flow stalled. T₂ = 298 K × (1
Kael calculated: Using (η_t = (T₁ - T₂_actual)/(T₁ - T₂_ideal)), he found that 68% of the exhaust’s enthalpy (h = u + Pv) converted into shaft work. The rest became entropy—random molecular motion—which heated the turbine housing. Just let me know, and I’ll generate the PDF-ready content
To reduce lag, Kael lightened the turbine wheel (lower I) and designed a smaller A/R (area/radius) turbine housing—which increased exhaust velocity but reduced top-end flow. At full throttle, boost climbed past 2.2 atm. The engine detonated. Dr. Vane pointed to a small actuator: the wastegate. It diverted exhaust around the turbine when boost exceeded a setpoint.
Kael derived the energy balance: Total exhaust energy = Energy to turbine + Energy bypassed + Waste heat + Entropy.