Discretization of a system of ODEs with two variables.
2 Ansichten (letzte 30 Tage)
Ältere Kommentare anzeigen
I try to solve this system:

I have trouble trying to discretize the system. As you see above the system has two variables, t and n. n is the length of the pipe (better saying it is a segment of the pipe)
t is the time. I need n to be discrete though. Can you help solving this?
The code I came up with so far:
syms C_bulk(t) C_stag(t) SC(t) t Y
i = 0;
while i < n
% Differential Equations
A_pipe = pi*d_pipe^2/4;
V_bulk = i*A_pipe;
%C_bulk0 = P_in*y0/(R*T)*M_Hg;
C_bulk0 = 5000*10^(-12);
N_max = 1.2140*10^19;
Fug = 0.144992321;
s_0 = 1;
A_bulk = (d_pipe - 4.25*10^(-5))^2*pi/4;
A_stag = A_pipe - A_bulk;
V_stag = (d_pipe^2/4*i - V_bulk/n);
SSA = 1;
Z = 0.61;
v = 10^(17);
q_max = N_max*M_Hg/NA;
ode1 = diff(C_bulk,t) == F_vol/V_bulk*(C_bulk0 - C_bulk) + k_m/V_bulk*A_stag*(C_stag - C_bulk);
ode2 = diff(C_stag,t) == k_m/V_stag*A_stag*(-C_stag + C_bulk)-(Fug*C_stag*R*T1*NA/(M_Hg*sqrt(2*pi*M_Hg*R*T1))*s_0*(1-SC)/(V_stag*N_max)*A_pipe*q_max*SSA - v*SC*exp(-(126-28.82*SC)/(R*T1)))*A_pipe*q_max*SSA/V_stag;
ode3 = diff(SC,t) == (C_stag*Fug*Z*R*T1*NA/(M_Hg*sqrt(2*pi*M_Hg*R*T1))*s_0*(1-SC)/N_max - v*SC*exp(-1000*(151-28.82*SC)/(R*T1)));
odes = [ode1, ode2 ode3];
[VF,Subs] = odeToVectorField(odes);
odefcn = matlabFunction(VF, 'Vars',{t,Y});
i = i + L/n;
end
2 Kommentare
Tanmay Das
am 5 Aug. 2021
Your code has some uninitialized variables. Please add detailed reproduction steps.
Antworten (0)
Siehe auch
Kategorien
Mehr zu Ordinary Differential Equations finden Sie in Help Center und File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!