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Chapter 13 Gas Turbine Power Plants

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fuel-air ratio, the net power developed, and the specific fuel consumption.<br />

The lower heating value of the fuel is 43,100 kJ/kg.<br />

<strong>13</strong>.19 A Brayton cycle with gas generator and a power turbine<br />

uses air as the working substance, the mass flow rate of air is 32<br />

kg/s. At the compressor inlet p 01 = 1 ami and T 01 = 300°K, and at<br />

the H.P. turbine inlet p 03 = 21 atm and T 03 = 1573°K. The power<br />

output of the L.P. turbine is 10 MW. For the gas generator compressor<br />

and turbine efficiencies are 0.8. The exhaust temperature<br />

from the power turbine is 789°K. Assuming that y varies with<br />

average temperature in each process and using (11.5), determine<br />

the power turbine efficiency, the pressure and temperature at the<br />

power turbine inlet, the cycle thermal efficiency. Hint: The work<br />

of the H.P. turbine equals the compressor work.<br />

<strong>13</strong>.20 A Brayton cycle with intercooling uses air as the working<br />

substance. At the compressor inlet p 01 = 1 atm and T 01 = 300°K,<br />

and at the turbine inlet p 03 =10 atm and T 03 = 1100°K. The first<br />

compressor stage discharges air at a pressure of 3 atm, and the<br />

intercooler cools the air down to 300°K. The mass flow rate of air<br />

is 0.2 kg/s, and the two compressors and the turbine have efficiencies<br />

of 0.85. Assuming that y varies with average temperature<br />

in each process and using (11.5), determine the required compressor<br />

power with and without intercooling. Also compute the<br />

net power output with and without intercooling.<br />

<strong>13</strong>.21 A regenerative gas turbine, which also utilizes reheating<br />

and intercooling, develops a net power output of 3665 kW. Air at<br />

14.7 psia and 530°R enters the compressor and is discharged from<br />

the first stage at 60 psia and 840°R. The air enters the second<br />

stage at 530°R and is discharged from the second stage at 176<br />

psia and 760°R. The air then passes through a regenerator from<br />

which it exits at a temperature of <strong>13</strong>35°R. The turbine inlet temperature<br />

is 2200°R, and the gas leaves the first turbine stage at 60<br />

psia and 1745°R and is reheated to 2200°R. The turbine exhaust

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