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Chapter 13 Gas Turbine Power Plants

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- r<br />

^02 ~ -'<br />

and<br />

(<strong>13</strong>.8)<br />

which are derived as indicated in Section 2.8 and in Problem<br />

2.12. Equation (<strong>13</strong>.7) is the p-T relationship for the isentropic<br />

compression process, and (<strong>13</strong>.8) is the p-T relation for the isentropic<br />

expansion process. When the pressure ratios in the two<br />

eqautions are replaced by the cycle pressure ratio r p and substituted<br />

into (<strong>13</strong>.6), the resulting ideal Brayton cycle thermal efficiency<br />

is<br />

(<strong>13</strong>.9)<br />

where the exponent a equals (y - l)/y. Although the ideal efficiency<br />

is seen to depend solely on the cycle pressure ratio, the<br />

Brayton cycle 01-02'-03-04'-01 in Figure <strong>13</strong>.2 depends as well<br />

on the turbine inlet temperature T 03 . This is shown in the next<br />

section.<br />

<strong>13</strong>.3 Air Standard Brayton Cycle<br />

To introduce greater realism into the Brayton cycle analysis<br />

we can use compressor and turbine efficiencies. For the compressor<br />

we will utilize the definition already given in (12.18). Referring<br />

to Figure <strong>13</strong>.2 for states, the compressor efficiency becomes

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