Translations:Thermodynamic and Mechanical Study/176/en

${\dot{T}}_{i} = \frac{{\dot{m}}_{i n} (C_{p} T_{S} - C_{v} T_{i}) - {\dot{m}}_{o u t} R T_{i} + (U A)_{i} (T_{i, r e s} - T_{i})}{C_{v} m_{i}} .$