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Appendix B-3: ORC standalone code with real-gas formulation $UnitSystem SI MASS DEG PA K J $Warnings ON "Input data" R$='R245fa' "Fluid selection" T[1]=360"Inlet total temperature " DELTAT_superheat=5"Degree of superheating" m_dot=0.04921"Working fluid mass flow rate" ER_ts=7"Expansion ratio" eta_pump=0.7 eta_mechanical=0.96 eta_generator=0.96 omega=7000"Rotational speed" phi=0.16"Flow coefficient" DELTAh_ideal=h[1]-h5s"Isentropic enthalpy drop" DELTAh_actual=h[1]-h[5]"Ideal enthalpy drop" V_dot[1]= Q[1]"Inlet volume flow rate" V_dot[5]= Q[5]"Exit volume flow rate" VR=V_dot[5]/V_dot[1]"Volumetric flow rate ratio" SF=(V_dot[5]^0.5)/(DELTAh_ideal^0.25)"Size factor" d[4]=0.08864+(1.722*SF)-(68.56*SF^2)+(0.7159*V_dot[5])-(0.9986*V_dot[5]^2)- (0.00001824*omega)+(1.245*(10^(-9))*(omega^2))"Rotor inlet diameter" d_max=0.1146+(2.468*SF)+(4.411*SF^2)+(0.7707*V_dot[5])-(2.009*V_dot[5]^2)- (0.00002232*omega)+(1.479*(10^(-9))*(omega^2))"Overall diameter" eta_turbine_ts=0.9211-4.39146121E-01*Phi-2.96596103E-02*VR+3.47118645E- 01*V_dot[5]+1.58206622E-02*ER_ts "Optimized turbine efficiency based on correlation obtained by linear regression" "Calculation" "Turbine Inlet" T_turbine_inlet_sh=T[1]+DELTAT_superheat "Turbine superheat inlet temperature" P[1]=P_sat(R$,T=T[1])"Inlet total saturation vapor pressure" Z=CompressibilityFactor(R$,T=T_turbine_inlet_sh,P=P[1])"Compressibility factor" h[1]= T_turbine_inlet_sh)"Inlet total enthalpy" S[1]=ENTROPY T_turbine_inlet_sh)"Inlet total entropy" rho[1]=DENSITY( T_turbine_inlet_sh)"Inlet total density" Q[1]=VOLUME( T_turbine_inlet_sh) "Inlet specific volume" "Turbine outlet" P[5]=P[1]/ER_ts"Exit pressure" S5s=S[1]"Isentropic expansion state point at turbine outlet" P5s=P[5]"Isentropic expansion state point at turbine outlet" h5s= h[5]=h[1]- T[5]= S[5]=ENTROPY P[5] rho[5]=DENSITY( P[5] "Pump isentropic efficiency" "Mechanical efficiency" "Electrical efficiency" "Turbine efficiency" {eta_turbine_ts=0.8}"Constant turbine isentropic efficiency" m_dot* m_dot* ENTHALPY(R$,P=P[1],T= (R$,P=P[1],T= R$,P=P[1],T= ENTHALPY(R$,P= R$,P=P[1],T= P5s,S=S5s)"Isentropic enthalpy" h[1]-h5s)"Exit enthalpy" eta_turbine_ts*( TEMPERATURE(R$,P= P[5] ,h=h[5])"Exit temperature" (R$,P= ,h=h[5])"Exit entropy" R$,P= ,h=h[5]) "Exit density" 303 | P a g ePDF Image | SMALL-SCALE RADIAL INFLOW TURBINE FOR WHR ORC
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