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Ing. Patrick Schwarzbauer Solar thermal organic Rankine cycle (ORC) rho_solar=1000; %density water in [kg/m^3] um_3_solar=2*mdot_solar/(rho_solar*Ext _length.^2); %mean velocity in each water-filled gap ReD_solar_3 = (rho_solar*um_3_solar*Dh)/mu_solar %Reynolds number of water rho_rf_7=88.5183375; %density R134a @ 60 C in [kg/m^3] rho_rf_11=94.778433653846; %density R134a @ 65 C in [kg/m^3] rho_rf_3=(rho_rf_7+rho_rf_11)/2; um_3_rf=2*mdot_rf/(rho_rf_3*Ext_length .^2); %mean velocity in each R134a-filled gap mu_rf_7=14.185875*10^(-6); %dynamic viscosity of R134a @ 60 C [Pa*s] mu_rf_11=14.382990384615*10^(-6); %dynamic viscosity of R134a @ 65 C [Pa*s] mu_rf_3=(mu_rf_7+mu_rf_11)/2; %mean dynamic viscosity of R134a ReD_rf_3 = (rho_rf_3*um_3_rf*Dh)/mu_rf_3 %Reynolds number of liquid refrigerant R134a A3=Ext_length.^2*(N_3-1) %total heat transfer area for preheating U3=Q_ev_3/(A3*deltathetam_3) %overall convection coefficient for preheating phase in [W/(m^2*K)] %ASSUMPTION OF LAMINAR FLOW IS INCORRECT! Calculate new Nusselt number for %turbulent flow (R134a)! %------------------------------------- -------------------------------------- -------------------------------------- ------------------ %New calculation due to turbulent flow conditions Pr_rf_7=1.0335; Pr_rf_11=1.0527307692308; Prm_rf_3=(Pr_rf_7+Pr_rf_11)/2; %Assumption for friction factor f: Material:Copper, Lead, Brass, Aluminum %--> Absolute roughness coefficient k=(0.001 - 0.002)*10(-3) m [https://www.engineeringtoolbox.com/su rface-roughness-ventilation-ducts- d_209.html] %Then use Moody diagram for friction factor based on ReD_rf_3 & k=0.0015*10^(-3)! f=0.035; %friction factor choosen with Moody diagram [https://www.engineeringtoolbox.com/mo ody-diagram-d_618.html] NuD_rf_3=((f/8)*(ReD_rf_3- 1000)*Prm_rf_3)/(1+12.7*(f/8).^(0.5)*( Prm_rf_3.^(2/3)-1)) %[PAGE 485 Eq. 8.62] L_3_new=0:0.1:1; %anlayzing the length from 0 to 1m N_3_new=0:10:100; %analyzing the number of gaps h_ref_3_new = @(N_3_new,L_3_new)(NuD_rf_3.*k_ref_3.* N_3_new)./(2.*L_3_new) %heat transfer coefficient of refrigerant h_solar_3 = @(N_3_new,L_3_new)(NuD.*k_solar.*N_3_n ew)./(2.*L_3_new) %heat transfer coefficient of solar water L_3_new= @(N_3_new) 99.5658./(N_3_new.*(N_3_new-1)) %In-line function L in [m] plot(N_3_new,L_3_new(N_3_new)) %Plot numbers of gaps over the length of the HEX xlabel('Number of Gaps, N') %Label axis ylabel('Exterior Dimension L [m]') %Label axis legend('Liquid phase','Boiling phase','Superheated phase') legend N_3_new=23; %Number of gaps due to design decision (L=200mm) a3_new=Ext_length/N_3_new %gap width in [m] A3_new=Ext_length.^2*(N_3_new-1) %total heat transfer area for preheating %adds -27-PDF Image | Solar thermal organic Rankine cycle (ORC)
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