Where:
Why do we care about the math? Because it directly dictates the Performance Calculation Where: Why do we care about the math
Oil-injection improves sealing and cooling. Additional terms in energy equation: $$ \fracdUd\theta = \dotQ gas + \dotQ oil - \dotW + \dotm in h in - \dotm out h out + \dotm oil c p,oil (T_oil - T_gas) $$ oil (T_oil - T_gas) $$