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# Steam turbine output power

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The mass rate of flow into a steam turbine is 4500 kg/h and the heat transfer from the turbine is 8.8 kW. The following data are known for the steam entering and leaving the turbine.

Inlet Exit
Pressure 20 bar 1 bar
Temperature 420 C
Quality 100%
Velocity 60 m/s 150 m/s
Elevation above datum 5 m 3 m

Determine the output power of the turbine.

https://brainmass.com/engineering/manufacturing-engineering/steam-turbine-output-power-217937

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Solution:

The useful power can be determined by applying the equation of energy:
(1)
where
steam (water) mass flow rate (kg/s)

inlet specific static enthalpy (and similarly for the outlet) (kJ/kg)
inlet, respectively outlet velocities (m/s)
elevations above datum (m)
g = gravity acceleration (g = 9.8 m/s2)
output (useful) power of turbine (kW)
heat transfer rate from turbine (kW)
 (2)

Assuming an isentropic process between inlet and outlet, the following formula applies:
(3)
where
k = adiabatic exponent (for superheated steam, k = 1.3)
T1 = 420C = 420 + 273 = 693 K
specific heat of steam at constant pressure (kJ/kg.K)
Assuming a constant average value of specific heat during the process, we can use the formula:
(4)
where
R = steam gas constant, R = 461.9 J/kg.K

By substituting in (2), one yields:
(5)

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