Jet Propulsion/Gas turbine energy exchange

In a gas turbine processes energy is converted from one form to another.

Kinetic energy to fluid temperature

Changing the velocity of the fluid by pressure changes simultaneously changes the temperature. Compression work raises the apparent temperature of the fluid. We can relate Mach number to the internal energy of the fluid:

$$M^2 = \frac{2}{\gamma-1} \frac{u^2}{c_P T}$$

... more gas dynamics

Work addition to the fluid by blades

Combustion energy addition

Heat transfer to and from walls