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Ing. Patrick Schwarzbauer Solar thermal organic Rankine cycle (ORC) delta3=(Ty-T6); %temp. difference between solar cycle inlet and ORC cycle outlet delta4=(Tx-T6); %temp. difference between solar cycle oulet and ORC cycle inlet deltathetam_2=(delta3- delta4)/log(delta3/delta4); %mean spefic heat capacity A2=Q_ev_2/(U2*deltathetam_2) %total heat transfer area for boiling N_2=A2/(Ext_length.^2) + 1; %Number of gaps calculated N_2_choosen=2 %Number of gaps choosen a2=Ext_length/N_2_choosen %gap width in [m] %------------------------------------- -------------------------------------- -------------------------------------- ------------------ %Heat exchanger(HEX) calculation for superheating (State 7 to 1): L_3=0:0.1:1; %anlayzing the length from 0 to 1m N_3=0:10:100; %analyzing the number of gaps cp_rf_7=1395.3; %specific isobar heat capacity cp [cp]=J/(kg*K) of inlet refrigerant @ 17 bar and saturation temperature 60 C cp_rf_1=1482; %specific isobar heat capacity cp [cp]=J/(kg*K) of exit refrigerant, superheated gas (18 bar) cpm_rf_3=(cp_rf_6+cp_rf_5)/2; k_ref_7=19.14*10^(-3); %cof R134a at state 7, saturated vapour (60C)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_1=20.09*10^(-3); %thermal conductivity of R134a at state 1, superheated gas (65C)in [W/(m*K)][Incropera et al. 2007, Page 858] k_ref_3=(k_ref_7+k_ref_1)/2; %mean value of thermal conductivity (R134a) delta7=(T1_solar-T2_ev); %temp. difference between solar cycle inlet and ORC cycle outlet delta11=(Ty-T6); %temp. difference between solar cycle oulet and ORC cycle inlet deltathetam_3=(delta7- delta11)/log(delta7/delta11); %mean spefic heat capacity h_ref_3 = @(N_3,L_3)(NuD.*k_ref_3.*N_3)./(2.*L_3 ) %heat transfer coefficient of refrigerant h_solar_3 = @(N_3,L_3)(NuD.*k_solar.*N_3)./(2.*L_3 ) %heat transfer coefficient of solar water %{ Problem with In-line function: Q_ev_3_v=Q_ev_3*[1 1 1 1 1 1 1 1 1 1 1] L_3 = @(N_3) (Q_ev_3_v)/(deltathetam_3.*(N_3- 1).*N_3).*((1/h_ref_3)+(1/h_solar_3)) I tried to create a vector same dimension as N for solving the in-line function L. But it doesn't work. So to continue with the code I decide to simplify the equation to numbers and then create a simpler in-line function. %} L_3= @(N_3) 189.5./(N_3.*(N_3-1)) %In-line function L in [m] plot(N_3,L_3(N_3)) %Plot numbers of gaps over the length of the HEX xlabel('Number of Gaps, N') %Label axis ylabel('Exterior Dimension L [m]') %Label axis hold on %{ Design Decision: To keep the HEX comapact I recommand a exterior length of 20cm (0.2m), see plot (N_3,L_3(N_3)). This leads to a number of 31 gaps. %} N_3=31; %Number of gaps due to design decision a3=Ext_length/N_3 %gap width in [m] -26-PDF Image | Solar thermal organic Rankine cycle (ORC)
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