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# 9-54 - 9-54 Equations Gas Turbine System Air enters the...

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9-54 Equations Gas Turbine System Air enters the compressor of a gas turbien at P 1 =100 kPa, T 1 =300 K. The isentropic efficiencies of the compressor and turbine are specified to be 90%, 80% and 70%. The temperature at the turbine inlet is 1400 K. The volumetric flow rate at the compressor inlete is 5 m 3 /sThe power developed is 5e6 Btu/hr. Calculate and plot a) the thermal efficiency b) the back work ratio c) the net power developed versys pressure ratio for ratios between 2 and 20 Refer to states as shown in EES DiagramW indow \$ifnot ParametricTable PressureRatio = 10 (1) \$endif known information P 1 = 100 [kPa] (2) T 1 = 300 [K] (3) T 3 = 1400 [K] (4)

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˙ V = 5 m 3 / s volumetric flow at inlet (5) h 1 = h ( Air, T = T 1 ) inlet state (6) s 1 = s ( AIr, T = T 1 , P = P 1 ) (7) P 2 = PressureRatio · P 1 neglect pressure losses (8) s 2 id = s 1 ideal compressor is isentropic (9) h 2 id = h ( Air, s = s 2 id , P = P 2 ) (10) η c = h 2 id - h 1 ( h 2 - h 1 ) definition of isentropic efficiency (11) T 2 = T ( Air, h = h 2 ) (12) w c = h 1 - h 2 (13) Effectiveness = 0 . 8 (14) Effectiveness = h x - h 2 h 4 - h 2 (15) T x = T ( Air, h = h x ) (16) q 23 = h 3 - h
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