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Ing. Patrick Schwarzbauer Solar thermal organic Rankine cycle (ORC) -------------------------------------- ------------------ %Assumption OK! Q_solar_1=Q_ev_1; %set both heat capacities equal to calculate inlet temperature of solar cycle (see Figure XX) Tx=Q_solar_1/(mdot_solar*cp_w) + T5; %inlet temperature of solar cycle for preheating the refrigerant in [K] Tx_deg=Tx-273.15; %inlet temperature of solar cycle for preheating the refrigerant in [C] %Geometry:Compact plate HEX that consists of a stack of thin metal sheets, %seperated by N gaps of width a. To keep the calculation easy, a %quadratical geometry was choosen. L %Calculation phase) h7=426600; %Enthalpy of (x=1) [J/kg] in W mdot_rf=Q_ev/(h1-h5); %calculation of the mass flow rate in [kg/s] Q_ev_1=mdot_rf*(h6-h5) %Heat capacity of the Evaporator (ORC): heat up to saturation temperature in [W] Q_ev_2=mdot_rf*(h7-h6) %Heat capacity of the Evaporator (ORC): Evaporation from x=0 to x=1 in [W] Q_ev_3=mdot_rf*(h1-h7) %Heat capacity of the Evaporator (ORC): superheated gas (saturation temp. + 10K to make sure all the gas is evaporated) in W %------------------------------------- -------------------------------------- -------------------------------------- ------------------ %Heat exchanger(HEX) calculation for preheating (State 5 to 6): T6_deg=60; %satutration temperature of R134a in [C] T6=T6_deg+273.15; %satutration temperature of R134a in [K] %Assumption for inlet refrigerant temperature: T1_ev = 25 C, needed to %calcualte mean specific isobar heat capacity cp [cp]=J/(kg*K) cp_rf_5=1414.1; %specific isobar heat capacity cp [cp]=J/(kg*K) of inlet refrigerant cp_rf_6=1653.2; %specific isobar heat capacity cp [cp]=J/(kg*K) of exit refrigerant, before evaporation begins cpm_rf_1=(cp_rf_6+cp_rf_5)/2; T5=T6-Q_ev_1/(mdot_rf*cpm_rf_1); %inlet temperature R134a in [K] T5_deg=T5-273.15; %inlet temperature R134a [C] of each heat capacity (3- the saturated refrigerant %(-Q_solar) %Heat capacity of the Evaporator (ORC) Q_ev = 13891 represents L=0:0.1:1; the exterior dimensions. the length from 0 to 1m %analyzing the number of gaps NuD=7.54; %Nusselt number for each interior gap (assumption: laminar flow) Table 8.1 [Incropera et al. 2007, Page 489] k_ref_5=0.0803; %thermal conductivity of R134a at state 5, saturated liquid (25C)in [W/(m*K)][Incropera et al. 2007, Page 858] ATTENTION THERE IS A MISTAKE IN THIS BOOK! IT SAYS k*10^3 BUT IT SHOULD SAY k*10^(-3) k_ref_6=0.0675; %thermal conductivity of R134a at state 6, saturated liquid (60C)in [W/(m*K)][Incropera et al. 2007, Page 858] k_ref=(k_ref_5+k_ref_6)/2; %mean value of thermal conductivity (R134a) k_solar=0.625; %thermal conductivity of water in [W/(m*K)][Incropera et al. 2007, Page 643] delta1=(Tx-T6); %temp. difference between solar cycle inlet and ORC cycle outlet delta2=(T2_solar-T5); %temp. difference between solar cycle oulet and ORC cycle inlet %anlayzing N=0:10:100; -24-PDF Image | Solar thermal organic Rankine cycle (ORC)
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