Evaluate the power output of turbine, Mechanical Engineering

Evaluate the power output of turbine:

Q: A turbine in steam power plant operating under steady state conditions receives the superheated steam at 3MPa and 350ºC at the rate of 1kg/s and having velocity of 50m/s at an elevation of 2m above the ground level. The steam leaves turbine at 10kPa with a quality of 0.95 at an elevation of 5m above ground level. The exit velocity of steam is 120m./s. The energy losses as heat from turbine are estimated at 5kJ/s. Estimate the power output of turbine. How much error will be introduced, if kinetic energy and the potential energy terms are ignored?      

Sol.: Given that; the turbine is running under steady state condition. At inlet:

P1 = 3MPa; T1 = 350°C; mf = 1 kg/sec; V1 = 50 m/s; Z1=2mAt exit: P2  = 10kPa; x = 0.95; Z2  = 5 m;  V2  = 120 m/s Heat exchanged during expansion = Q = - 5 kJ/sec From superheat steam which is given as table, at 3MPa and 350ºC h1 = 3115.25 kJ/kgh2 = hf2  + xhfg2 From saturated steam table;  at 10kPa h2  = 191.81 + 0.95(2392.82) = 2464.99 kJ/kg

From the steady flow energy equation:

 

13_Evaluate the power output of turbine2.png

933_Evaluate the power output of turbine.png

If the changes in kinetic and potential energies are neglected; then

SFEE as; Q - Ws = mf (h2 - h1) - 5 - 1W2 = 1 × (2464.99 - 3115.25) 1W= 645.26KJ/sec

% Error introduced if kinetic energy and potential energy terms are ignored:

1348_Evaluate the power output of turbine1.png

2173_Evaluate the power output of turbine3.png

Posted Date: 10/15/2012 7:46:46 AM | Location : United States







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