C:\Users\gaetano\Dropbox\Bosch\APC\2009-10\cstrtrans_phi0.m 1 of 2 clear

(1)

28/06/13 15.22 C:\Users\gaetano\Dropbox\Bosch\APC\2009-10\cstrtrans_phi0.m 1 of 2

clear;

tfin=200;

deltat=0.1;

N=round(tfin/deltat);

gamma=16; % 16

beta=0.81; % 0.81 - 1 phi0=13.; % 13

tetainf=0; % 0

Da=0.16; % 0.12 - 0.09 tetain=0;xin=0;

teta(1)=0;x(1)=1;

t(1)=0;

teul=cputime;

%%

%% EULERO ESPLICITO

%%

%for n=1:N

% t(n+1)=t(n)+deltat;

% res=cstr_nonadb([teta(n),x(n)],[tetain,xin],Da,gamma,beta,phi,tetainf);

% teta(n+1)=teta(n)+res(1,1)*deltat;

% x(n+1)=x(n)+res(2,1)*deltat;

%end

%teul=cputime-teul

%plot(t,teta,'r',t,x,'b')

%hold on

%

% RUNGE-KUTTA 4° ORDINE

%

% deltat=0.2;

N=round(tfin/deltat);

tetaRK(1)=teta(1);xRK(1)=x(1);

tRK(1)=0;

deltatmez=deltat/2;

deltatses=deltat/6;

teRK=cputime;

for n=1:N

tRK(n+1)=tRK(n)+deltat;

k1=cstr_nonadb_phi0([tetaRK(n),xRK(n)],[tetain,xin],Da,gamma,beta,phi0,tetainf);

k2=cstr_nonadb_phi0([tetaRK(n)+deltatmez*k1(1),xRK(n)+deltatmez*k1(2)],[tetain, xin],Da,gamma,beta,phi0,tetainf);

k3=cstr_nonadb_phi0([tetaRK(n)+deltatmez*k2(1),xRK(n)+deltatmez*k2(2)],[tetain, xin],Da,gamma,beta,phi0,tetainf);

k4=cstr_nonadb_phi0([tetaRK(n)+deltat*k3(1),xRK(n)+deltat*k3(2)],[tetain,xin],Da, gamma,beta,phi0,tetainf);

deltax=deltatses*(k1+2*k2+2*k3+k4);

tetaRK(n+1)=tetaRK(n)+deltax(1);

xRK(n+1)=xRK(n)+deltax(2);

end

teRK=cputime-teRK

plot(tRK,tetaRK,'-r',tRK,xRK,'-b') grid

legend('\theta','x','Location','NorthEast');

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28/06/13 15.22 C:\Users\gaetano\Dropbox\Bosch\APC\2009-10\cstrtrans_phi0.m 2 of 2

Title('Transitorio di un CSTR non isotermo non adiabatico, Da=0.18')