File:3_Isentropic Turbine.EES 10/10/2014 4:16:47 AM Page 1 EES Ver. 9.701: #3770: For use only by students and faculty Mechanical Engineering Dokuz Eylül University, TURKEY {!INPUTS} F$ = 'Water' "Type of fluid" m_dot = 100 [kg/s] "Mass flowrate of fluid" T[1] = converttemp(C,K, 650 [C])"Temperature of fluid at the inlet section" P[1] = 4 [MPa] "Pressure of fluid at the inlet section" P[2] = 0.01 [MPa] "Pressure of fluid at the outlet section" eta_t_2 = 0.84 [-] "Evaluate the properties at the inlet" h[1] = enthalpy(F$, T=T[1],P=P[1]) s[1] = entropy(F$, T=T[1], P=P[1]) h_s[1] = h[1] s_s[1] = s[1] "Evaluate the properties at the outlet" s_s[2] = s[1] h_s[2] = enthalpy(F$, s=s_s[2],P=P[2]) x_s[2] = quality(F$, s=s_s[2],P=P[2]) T_s[2] = temperature(F$, s=s_s[2],P=P[2]) {! (a) Turbine Work output} W_s_turbine = m_dot*(h[1] - h_s[2]) W_turbine = W_s_turbine*eta_t_2 {! (b) Entropy generation} "Entropy balance equation" S_dot_gen = m_dot*(s[2] - s[1]) "Energy balance equation" (h[1]-h_s[2])*eta_t_2 = (h[1]-h[2]) "Entropy at the exit" s[2] = entropy(F$, h=h[2], P=P[2]) File:3_Isentropic Turbine.EES 10/10/2014 4:16:47 AM Page 2 EES Ver. 9.701: #3770: For use only by students and faculty Mechanical Engineering Dokuz Eylül University, TURKEY SOLUTION Unit Settings: SI K MPa kJ mass deg ht,2 = 0.84 [-] Sgen = 70.82 [kJ/s-K] F$ = 'water' W s,turbine = 141349 [kJ/s] m = 100 [kg/s] W turbine = 118733 [kJ/s] No unit problems were detected. Arrays Table: Main hi hs,i Pi si ss,i Ti Ts,i [kJ/kg] [kJ/kg] [MPa] [kJ/kg-K] [kJ/kg-K] [K] [K] 1 2 3790 2602 3790 2376 4 0.01 7.497 8.205 7.497 7.497 xs,i 923.2 319 0.9132 Water 1 h [kJ/kg] 3500 P1 = 4 MPa P2 = 0.01 MPa 3000 2500 2 2s 0.9 0.8 2000 0.6 1500 5.0 6.0 7.0 8.0 s [kJ/kg-K] 9.0 10.0
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