Question

2. A combustion turbine has a reheater and two expansion turbines. There is a reheater between the first and second expansions. The pressure ratio of the compressor is 7 and the reheater operates at a pressure of 45 psia. The turbine inlet and reheat temperatures are both 2200 °F. The compressor has an efficiency of 85%, the turbines have an efficiency of 90%, and the regenerator has an efficiency of 70%. For an ambient pressure of 1 atmosphere and temperature of 60 °F, what is the cycle efficiency? What is the air flow rate through the machine for a net power output of 100,000 kW?

Answer 1

1. Te- Tet Po=fbar WT, 2 . 7. P = a bar = Ibars . 1932 WT2 T Inlet of compress o Tz outlet of compres Talas Actual outlet of comp. Tz = Inlet of Regen Tu = galit of 1st Tomb - S. Ts = outlet of Turks Given. Pi-latm + To= Inlet of and tonom . - T, = 60°F 288.706k Iz= outlet of Turbine @ - Ty' + Actual outlet of Tustine con 651. I Tonto = 2200°F 1477.594 k % = n Yr. = goli TT Tro= 7). formules of S ·lusing +213 1: “K | 9

As we know T.(M) here Airis used as fluid 1:1.4. epif.005 kJkg CV-700 kJ > T = T, X (7) T. 1477.59Y.To T = 288.706x1.743 As we know > T2 = 503.399 ] w Kiew TET 7- Ti'-T, 0.65 503.199 - 288.706 Te' - 288.706 Ta's 541.28ck ] Mgenerator = 0.70 = T3 - Ta' Ta'-Tz 0.70 Tz - 541.286. 110.276-54286.; T = 939.5795 179 = 10 69:463 in = (WT), +(WTZ) - We - Qsi 4 Qs What Heat supplied 16-17. Tea Ta Tz's .1110.2768] Wa, Wf we Torbime work, Turbine work 2 work of compressor

Qs, -Heat supplied } + mcp (Ty-T;) Q52 + Heat supplied A+ ® - mep e To - Ts' 1 - (Tv - Th') + (T. - T) - (T2 - 1)(n-p t y - Ty) + (Tc - To') Josep i Winet med (9477.59.4 - 1201.491) + (1477.594 -11 10:274)] -6541.266 - 288.706) = 390.841 mcp kw T, - med11477.594.- 939.57) +(1477.594 - 2014 12010457" = 8luidt to mi cp kw supp! A que vous metu 390.84 me .8141118 msp cycle Efficieny = 487. ina - Air Flow Rate = 2:54.5.8 kgisec 1 = 0.48 = 48%. -Wnet. = 3.90. B41 nap 100000 KW. 390,84 lica : 100000 ķSisec 005 kolege [ma= 254.58 kg sec-t. Am