Question

Steam enters a nozzle operating at a pressure of 30 [bar] and a temperature of 320 [◦C] with negligible velocity. The steam exits the nozzle at a pressure of 15 [bar] and a velocity of 10 [m/s]. The mass flow rate is 2.5 [kg/s]. Assume the nozzle is well insulated.

Determine the exit temperature of the steam.

Answer 1

Since nozzle is insulated there is no transfer of heat from nozzle to surrounding. This implies that the process is an adiabatic process.

For an adiabatic proces we have ,

Here, we also could have written mass conservation equation and also energy equation for compressible fluid which realtes Pressure, density, and velocity, but here we can directly find exit temperature from Adiabatic relation so we haven't used those equation for this process.