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Ing. Patrick Schwarzbauer Solar thermal organic Rankine cycle (ORC) APPENDIX B 1. Heat exchanger calculation with Matlab. %Patrick Schwarzbauer %schwarzb20@up.edu clear all close all %FINAL PROJECT: Calculation of a Heat Exchanger (HEX) in MatLab %Import excel data for Enthalpy Table_h = xlsread('PropertiesR134a.xlsx') find p_ev=17 find T2_ev_deg=65 sl = 2; %size of the square input matrix t1 = Table_h(:,2); %Capture the table headers t = t1(1:length(t1)); %fix the first NaN value t = repmat(t,1,sl-1); %make the headers a matrix that repeats t = t(:)'; %creates a vector out of matrix p1 = Table_h(:,1); %Capture the labels for each row p = p1(1:length(p1))'; %fix the first NaN value p = repmat(p,1,sl-1); %make the headers a matrix that repeats h = Table_h(:,3); %h = Table_h(3:sl,2:sl); %Just the enthalpy values %h = reshape(h,1,length(h)^2); %turn the matrix of h values into a long vector h= h(:)'; %creates a vector out of matrix % Now we have 3 long vectors that contain pressure, temperature and % enthalpy. to find the closest point to our target values we can use % minimization of residuals p_find=17; %pressure of superheated gas T_find=65; %temperature of superheated gas r = (p- repmat(p_find,1,length(p))).^2 + (t- repmat(T_find,1,length(t))).^2; % Find the smallest residual [m,i] = min(r); %the index, i, now represents the point closest to the value we are trying to look up. h1 = interp1([p(i) p(i+1)],[h(i) h(i+1)],p_find,'linear') %finds the value for enthalpy %Given information (Solar Organic Rankine Cycle --> project): %Solar cycle (water) T1_solar_deg=70; Thermal Capstone %Inlet temperature Solar collector in °C (Water) T1_solar=70+273.15; %Inlet temperature Solar collector in K (Water) deltaT_solar=40; %Delta T in Solar cycle (K) T2_solar_deg=T1_solar_deg- deltaT_solar; %Outlet temperature Solar collector in °C (Water) T2_solar=T1_solar-deltaT_solar; %Outlet temperature Solar collector in K (Water) cp_w=4180; %specific heat capacity in J/(kgK), assumption: constant due to low temperature and no change in phase mdot_solar=0.0063; %Mass flow of the solar water cycle in kg/s [PowerEnergy 2016-59098, 2016] Q_solar=mdot_solar*cp_w*(T2_solar- T1_solar) %Heat capacity solar cycle in [J/s=W] %------------------------------------- -------------------------------------- -------------------------------------- ------------------ %ORC cycle (R134a) %Calculation of enthalpy of the superheated gas at the exit of the %evaporator T2_ev_deg=65; %Outlet temperature Evaporator in °C (R134a) T2_ev=T2_ev_deg+273.15; %Outlet temperature Evaporator in K (R134a) p_ev=17*10.^5; %Evaporation pressure in [Pa] R134a: assumption no pressure drop through HEX -22-PDF Image | Solar thermal organic Rankine cycle (ORC)
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