Example14.7

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GT- Minimum Total Cost Fuel 0.52985 #MACRO? T2 ( F) 1203.00 6.857 P2 (bar) 6.514 11391.7760 Air Feed 36.8080571346826 lb/s 76.9999999999999 T1 ( F) #MACRO? 1.013 P1 (bar) W_AC_or_GT (kW) Stack 37.3379 lb/s #MACRO? T7( F) 1.013 P7 (bar) lb/s 68.000 T8( F) - P8 (bar) #MACRO? Variables 36.8080571347 MW Air (lb/lb-mol 0.84122493108 MW Water (lb/lb-m 6.85674615367 11163.9405 CH4 C/H Ratio = 1662.66568584 #MACRO? CH4 LHV (Btu/lb) = 0.52985004839 #MACRO? Theor Air (lb air/ lb NA DAR 4.03047239 pinch_2 ( R) = Fair (lb/s) = Calculate T4 nAC = P2 (bar) = el (Avail Btu/s) = T3 (R) = (Total Btu/s) = Ffuel (lb/s) = hair+fuel (Btu/lb) = nGT = Process GCC

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14.7

Transcript of Example14.7

Original CGAM Problem

EnglishGT- Minimum Total CostFuelHeat Rate (BTU/kW-hr)0.52985lb/s9113.421534.507T2 ( F)1203.00T3 ( F)Gas (Air + Fuel)6.857P2 (bar)6.514P3 (bar)37.3379lb/s1421.344T5 ( F)11391.77601.099P5 (bar)Air Feed36.8080571347lb/s77T1 ( F)4318.7694500.000W_PT_Net (kW)1.013P1 (bar)W_AC_or_GT (kW)2184.6563520578T4 ( F)4.5(MW)6.188P4 (bar)37.3379lb/sStack37.3379lb/s802.061T6( F)250.000T7( F)1.066P6 (bar)1.013P7 (bar)lb/s401.000T9( F)-P9 (bar)lb/s68.000T8( F)Tpinch_2 ( R) =Tpinch_1 ( R) =-P8 (bar)106.6901285.3810VariablesPhysicalUnits ConversionFair (lb/s) =36.8080571347Calculate T4MW Air (lb/lb-mol)28.9653600 s = 1 hr3600nAC =0.8412249311MW Water (lb/lb-mol)18.015343.413 BTU/hr= W3.413P2 (bar) =6.8567461537Hfuel (Avail Btu/s) =11163.9405196503CH4 C/H Ratio =41000 W = kW1000T3 (R) =1662.6656858365Hair (Total Btu/s) =10461.7655024448CH4 LHV (Btu/lb) =21500bar to psia14.5038243277Ffuel (lb/s) =0.5298500484hair+fuel (Btu/lb) =579.1890240677Theor Air (lb air/ lb CH4)17.2359nGT =NADAR4.0304723889nPT =0.8594517521T4 (R) =2644.3263520578Tpinch_APH ( R) =218.3487314836Tpinch_1 ( R) =285.3810442254Tpinch_2 ( R) =106.6900572953Material and Energy BalancesTemperatures (Isentropic)Temperatures (Actual)Log_Mean_TempsPressuresTref =T0 (R) =536.67Pref =P0 (bar) =1.013T1 (R) =536.67P1 (bar) =1.013T2 (R) =922.92T2 (R) =994.18P2 (bar) =6.857T3 (R) =1662.67P3 (bar) =6.514T4 (R) =2644.33P4 (bar) =6.188T5 (R) =1751.53T5 (R) =1881.014TLMAPH (R) =242.119P5 (bar) =1.099T6 (R) =1261.731P6 (bar) =1.066T6,1 (R) =1146.051P7 (bar) =1.013T6,2 (R) =1136.332P8 (bar) =-T6,3 (R) =859.360P9 (bar) =-T7 (R) =709.670T8 (R) =527.67T8,1 (R) =752.67T8,2 (R) =752.67T8,3 (R) =860.67T9 (R) =860.67Entropy IsentropicEnthalpy IsentropicEnthalpy ActualAir_Fuel_Steamh0 (Btu/lb) =196.8487045333s1 (Btu/lb-R) =1.0811924578h1 (Btu/lb) =196.8487045333s2 (Btu/lb-R) =1.0811924578h2 (Btu/lb) =290.4243876332h2 (Btu/lb) =308.0861151738nCC =0.98h3 (Btu/lb) =481.0735812814Ffuel(lb/s) =0.5298500484s4 (Btu/lb-R) =0.3006512668h4 (Btu/lb) =579.1890240677s5 (Btu/lb-R) =0.3006512668h5 (Btu/lb) =318.6514995347h5 (Btu/lb) =355.2695921257Fair + Ffuel (lb/s) =37.3379071831h6 (Btu/lb) =184.7369346617h6.1 (Btu/lb) =154.2751309397h6.2 (Btu/lb) =151.7366919336h6.3 (Btu/lb) =80.6587928166h7 (Btu/lb) =43.0891991829H8 (Btu) =0H8,1 (Btu) =1402.77H8,2 (Btu) =4056.67H8,3 (Btu) =4151.450H9 (Btu) =5288.83HeatWorkQCC (BTU/s) =11391.776WAC_Actual (BTU/s) =-4094.4330Work (SI units)QLoss (BTU/s) =227.836WGT_Actual (BTU/s) =4094.43304318.7690240065(kW)Efficiency =0.3745026223WPT_Actual (BTU/s) =8360.6838818.7690239712(kW)WPT_Net (BTU/s) =4266.24999996664499.9999999647(kW)Power_Actual (kW) =4499.9999999647Total Cost ($/s)=0.0528147363EconomicsZAC($) =145506.589958168ZCC($) =19462.9879230349ZGT($) =275634.456493621ZAPH($) =266540.276260648ZHRSG($) =-Fuel($/s)=0.0480778516CRF(%) =18.20%CRF(%) =18.20%N(hr) =8000N(hr) =8000 =1.06 =1.06cf($/MBtu) =4.2204cf($/MJ) =0.004C11($/(lb/s)) =17.95C11($/(kg/s)) =39.5C12 =0.9C12 =0.9C21($/(lb/s)) =11.64C21($/(kg/s)) =25.6C22 =0.995C22 =0.995C23(1/R)=0.01C23(1/K)=0.018C24=26.4C24=26.4C31($/(lb/s))=212C31($/(kg/s))=266.3C32=0.92C32=0.92C33(1/R)=0.02C33(1/K)=0.036C34=54.4C34=54.4C41($/(m1.2)=2290C41($/(m1.2)=2290U(Btu/(s m2 R))=9.478/1000U(kW/(m2K))=18/1000

Process GCC