How can i run this script to make a plot for a lot of T
1 view (last 30 days)
Show older comments
function [f] = acidpretreatment(t,x,T,xyl_zero)
%Components
xyl= x(1);
arab= x(2);
acet= x(3);
acet_dot = x(4);
cel= x(5);
Xylo= x(6);
Acetic= x(7);
Acetic_dot = x(8);
Arabi = x(9);
glu = x(10);
furf= x(11);
%---------------------------------------------------------------------
%Data
R=8.314;
HA=0.07; % m=948.320,38 kg
i=100:180
T=375+1i; % kelvin "Pressure 10 bar"
k10=2.37; k20=2.17; k1ac=2.37; k30=2.37; %min^-1%
n1=1.51; n2=0.29;n1ac=0.604;n3=1.359;
E1=83.3*1e3;E2=143.5*1e3;E1ac=83.3*1e3;E3=94.962*1e3; %J/mol
Bmax=120;
Xc=0.40680; Xh1=0.22136; Xh2=0.03786;Xh3=0.03330; %wt
xylmax=Xh1*Bmax; arabmax=Xh2*Bmax;acetmax=Xh3*Bmax;celmax=Xc*Bmax; %g/L
%---------------------------------------------------------------------
% Effective coefficients
ef1=1/(1+(xyl/xylmax)^20);
ef2=1/(1+(arab/arabmax)^20);
ef3=1/(1+(acet/acetmax)^20);
ef4=1/(1+(cel/celmax)^20);
% Effective concentrations
xylef=0.95*ef1*xyl+((1-ef1)*xylmax);
arabef=0.95*ef2*arab+((1-ef2)*arabmax);
acetef=0.95*ef3*acet+((1-ef3)*acetmax);
celef=0.95*ef4*cel+((1-ef4)*celmax);
% K min^(-1)
K1=(k10*1e10)*(HA^n1)*exp(-E1/(R*T));
K2=(k20*1e15)*(HA^n2)*exp(-E2/(R*T));
K3=(k30*1e10)*(HA^n3)*exp(-E3/(R*T)) ;
K1ac=k1ac*(10^10)*(HA^n1ac)*(xyl/xyl_zero)^2*exp(-E1ac/(R*T));
% Rates
rxyl=-K1*xylef;
rarab=-K1*arabef;
racet=-K1ac*acetef;
rcel=-K3*celef;
rXylo=(1/0.88)*K1*xylef-K2*Xylo;
rArabi=(1/0.88)*K1*arabef-K2*Arabi;
rAcetic=(1/0.7)*K1ac*acetef;
rglu=(1/0.9)*K3*celef;
% Mass balance
dxyldt=rxyl;
darabdt=rarab;
dacetdt = acet_dot;
d2acetdt2 = (racet - 10*acet_dot)/400;
daceticdt = Acetic_dot;
d2aceticdt2 = (rAcetic - 10*Acetic_dot)/400;
dceldt=rcel;
dXylodt=rXylo;
dArabidt=rArabi;
dgludt=rglu;
dfurfdt=0.64*K2*(Xylo+Arabi);
%-----------------------------------
f =[ dxyldt; darabdt; dacetdt; d2acetdt2; dceldt; dXylodt; daceticdt; d2aceticdt2; dArabidt; dgludt; dfurfdt];
end
The Xo is another file that i run first and then I run then on cmd : [t, x] = ode45(@(t,y) acidpretreatment(t,y,xyl_zero), [0 240], [x0]);
How it is possible to sovle this ode for T from 100 to 180.
0 Comments
Answers (1)
VBBV
on 2 Dec 2021
Edited: VBBV
on 2 Dec 2021
T = 100:10:180;
x0 =100.8;
xyl_zero = 4;
% x0 = rand(1,length(T))
for i = 1:length(T)
[t,x] = ode45(@acidpretreatment, [0 24], x0);
plot(t,x)
hold on
end
function [dxyldt darabdt dacetdt d2acetdt2 daceticdt d2aceticdt2 dceldt dXylodt dArabidt dgludt dfurfdt] = acidpretreatment(T,xyl_zero)
%Components
X = rand(1,11);
xyl= X(1);
arab= X(2);
acet= X(3);
acet_dot = X(4);
cel= X(5);
Xylo= X(6);
Acetic= X(7);
Acetic_dot = X(8);
Arabi = X(9);
glu = X(10);
furf= X(11);
%---------------------------------------------------------------------
%Data
R=8.314;
HA=0.07; % m=948.320,38 kg
%i=100:180
T=375+T; % kelvin "Pressure 10 bar"
k10=2.37;
k20=2.17;
k1ac=2.37;
k30=2.37; %min^-1%
n1=1.51;
n2=0.29;
n1ac=0.604;
n3=1.359;
E1=83.3*1e3;E2=143.5*1e3;E1ac=83.3*1e3;E3=94.962*1e3; %J/mol
Bmax=120;
Xc=0.40680; Xh1=0.22136; Xh2=0.03786;Xh3=0.03330; %wt
xylmax=Xh1*Bmax; arabmax=Xh2*Bmax;acetmax=Xh3*Bmax;celmax=Xc*Bmax; %g/L
%---------------------------------------------------------------------
% Effective coefficients
ef1=1/(1+(xyl/xylmax)^20);
ef2=1/(1+(arab/arabmax)^20);
ef3=1/(1+(acet/acetmax)^20);
ef4=1/(1+(cel/celmax)^20);
% Effective concentrations
xylef=0.95*ef1*xyl+((1-ef1)*xylmax);
arabef=0.95*ef2*arab+((1-ef2)*arabmax);
acetef=0.95*ef3*acet+((1-ef3)*acetmax);
celef=0.95*ef4*cel+((1-ef4)*celmax);
% K min^(-1)
K1=(k10*1e10)*(HA^n1)*exp(-E1/(R*T));
K2=(k20*1e15)*(HA^n2)*exp(-E2/(R*T));
K3=(k30*1e10)*(HA^n3)*exp(-E3/(R*T)) ;
K1ac=k1ac*(10^10)*(HA^n1ac)*(xyl/xyl_zero)^2*exp(-E1ac./(R*T));
% Rates
rxyl=-K1*xylef;
rarab=-K1*arabef;
racet=-K1ac*acetef;
rcel=-K3*celef;
rXylo=(1/0.88)*K1*xylef-K2*Xylo;
rArabi=(1/0.88)*K1*arabef-K2*Arabi;
rAcetic=(1/0.7)*K1ac*acetef;
rglu=(1/0.9)*K3*celef;
% Mass balance
dxyldt=rxyl;
darabdt=rarab;
dacetdt = acet_dot;
d2acetdt2 = (racet - 10*acet_dot)/400;
daceticdt = Acetic_dot;
d2aceticdt2 = (rAcetic - 10*Acetic_dot)/400;
dceldt=rcel;
dXylodt=rXylo;
dArabidt=rArabi;
dgludt=rglu;
dfurfdt=0.64*K2*(Xylo+Arabi);
%-----------------------------------
%f = [dxyldt; darabdt; dacetdt; d2acetdt2; dceldt; dXylodt; daceticdt; d2aceticdt2; dArabidt; dgludt; dfurfdt]
end
Change the number of return arguments to function and try it.
0 Comments
See Also
Categories
Find more on Ordinary Differential Equations in Help Center and File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!