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Chapter 13 Gas Turbine Power Plants

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inlet p 03 = 4 atm and T 03 = 1200°K. The power output of the L.P.<br />

turbine is 100 kW. Compressor and turbine efficiencies are 0.8,<br />

and the regenerator effectiveness is 0.75. Assuming that y varies<br />

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

the cycle efficiency and the mass flow rate of air. Hint:<br />

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

<strong>13</strong>.16 A Brayton cycle with regeneration and a power turbine<br />

(see Figure <strong>13</strong>.6) uses air as the working substance. At the compressor<br />

inlet p 0! = I atm and T 01 = 300°K, and at the H.P. turbine<br />

inlet p 03 = 4 atm and T 03 = 1200°K. The power output of the L.P.<br />

turbine is 200 kW. Compressor and turbine efficiencies are 0.8,<br />

and the regenerator effectiveness is 0.75. Assuming that y varies<br />

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

the cycle efficiency and the mass flow rate of air. Hint:<br />

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

<strong>13</strong>.17 A regenerative gas turbine develops a net power output of<br />

2930 kW. Air at 14.0 psia and 540°R enters the compressor and is<br />

discharged at 70 psia and 940°R. The air then passes through a<br />

regenerator from which it exits at a temperature of 1040°R. The<br />

turbine inlet temperature is 1560°R, and the turbine exhaust temperature<br />

is 1120°R. If the gas has the properties of air with a variable<br />

y, find the mass flow rate of air, the compressor power, the<br />

turbine power, the cycle thermal efficiency, the compressor efficiency,<br />

and the regenerator effectiveness.<br />

<strong>13</strong>.18 A Brayton cycle with regeneration and a power turbine<br />

uses air as the working substance. At the compressor inlet p 01 = I<br />

atm and T 01 = 288°K, and at the turbine inlet p 03 - 4 atm and T 03<br />

= 1100°K. the air is reheated to 1100°K between the compressor<br />

turbine and the power turbine. The mass flow rate of air is 7.3<br />

kg/s, and compressor and turbine efficiencies are 0.85. The regenerator<br />

effectiveness is 0.8. Assuming that y varies with average<br />

temperature in each process and using (11.5), determine the

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