Problem # p042

Conservation of mass and energy, steady state , steady flow

Inlet 1 :
Pressure p1 = 6 MPa
Enthalpy h1 = 3177.2 kJ/kg
Velocity vel,1 = 10 m/s
Elevation z1 = 10 m
Exit 2 :
Pressure p2 = 10 kPa
Quality x2 = 0.9
Enthalpy h2,f = 191.83 kJ/kg
Enthalpy h2,g = 2392.8 kJ/kg
Velocity vel,2 = 50 m/s
Elevation z2 = 1 m

The above turbine works under steady-state conditions at a mass-flow rate of 1.2 kg/s and a work-output of 900 kW. The conditions of the water entering (at pipe 1) and leaving (at pipe 2) the turbine have been measured and are tabulated above.
Potential and kinetic energies can NOT be neglected.
Determine how much heat the turbine looses per second to the environment.