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Ing. Patrick Schwarzbauer Solar thermal organic Rankine cycle (ORC) deltathetam_1=(delta1- delta2)/log(delta1/delta2); %mean spefic heat capacity h_ref_1 = @(N,L)(NuD.*k_ref.*N)./(2.*L) %heat transfer coefficient of refrigerant h_solar_1 = @(N,L)(NuD.*k_solar.*N)./(2.*L) %heat transfer coefficient of solar water %{ Problem with In-line function: Q_ev_1_v=Q_ev_1*[1 1 1 1 1 1 1 1 1 1 1] L = @(N) (Q_ev_1_v)/(deltathetam_1.*(N- 1).*N).*((1/h_ref_1)+(1/h_solar_1)) 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= @(N) 95.1227./(N.*(N-1)) %In-line function L in [m] plot(N,L(N)) %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,L(N)). This leads to a number of 22 gaps. %} N_1=22; %Number of gaps due to design decision Ext_length=L(N_1) %Exterior length due to design decision in [m] a1=Ext_length/N_1 %gap width in [m] Dh=2*Ext_length; %hydraulic diameter in [m] rho_solar=1000; %density water in [kg/m^3] um_1_solar=2*mdot_solar/(rho_solar*Ext _length.^2); %mean velocity in each water-filled gap mu_solar=725*10^(-6); %dynamic viscosity of water [Pa*s] ReD_solar_1 = (rho_solar*um_1_solar*Dh)/mu_solar %Reynolds number rho_rf_1=1212.2; %density R134a @ rho_rf_2=1054.54; of water 25 C in [kg/m^3] %density R134a @ 60 C in [kg/m^3] rho_rf=(rho_rf_1+rho_rf_2)/2; um_1_rf=2*mdot_rf/(rho_rf*Ext_length.^ 2); %mean velocity in each R134a-filled gap mu_rf_1=200.61*10^(-6); %dynamic viscosity of R134a @ 25 C [Pa*s] mu_rf_2=84.74*10^(-6); %dynamic viscosity of R134a @ 60 C [Pa*s] mu_rf=(mu_rf_1+mu_rf_2)/2; %mean dynamic viscosity of R134a ReD_rf_1 = (rho_rf*um_1_rf*Dh)/mu_rf %Reynolds number of liquid refrigerant R134a %ASSUMPTION OF LAMINAR FLOW IS CORRECT! A1=Ext_length.^2*(N_1-1) %total heat transfer area for preheating U1=Q_ev_1/(A1*deltathetam_1) %overall convection coefficient for preheating phase in [W/(m^2*K)] %------------------------------------- -------------------------------------- -------------------------------------- ------------------ %Heat exchanger(HEX) calculation for boiling (State 6 to 7): U2=2000; %ASSUMPTION: overall convection coefficient for boiling phase in [W/(m^2*K)] Ty=Q_ev_2/(mdot_solar*cp_w)+Tx; %inlet temperature of solar cycle for boiling the refrigerant in [K] Ty_deg=Ty-273.15; %inlet temperature of solar cycle for boiling the refrigerant in [C] -25-PDF Image | Solar thermal organic Rankine cycle (ORC)
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