Coupled Partial Differential Equation

Hello, I need to solve two dimensional Partial Differential Equations:

Where z is axial and r is radial.

Ac, ɛ, Der, ρB, Rj, ΔHrxn and ri are known. I need t calculate Fi, Ci and T.

Which tool i need to use, how to start solving?

Thank in advance.

[Torsten]

Any relationship between F_j and C_j ?

[Bosnian Kingdom]

C_j = C_j0 * (F_j / Ft) * (T0 / T) * (P / P0)

Where Cj0, T0, P and P0 are known.

Ft=summ of F_j

[Bosnian Kingdom]

Thank you for the answer, i'll try.

[Zain Shabeeb]

Hi Bosnian Kingdom,

I am trying to solve a similar system with coupled partial differential equations. I am trying to look for a sample code to incorporate my system. I would be extremely grateful if you could share your code so that I can make a start on my system.

I am not greatly experienced in MATLAB. I am not sure what kind of solver to use in the first place actually.

Thanks.

[Bosnian Kingdom]

Hi Zain,

sorry on my late answer, but i didn't solve PDE above. Did you solve yours? I also need help.

Thanks in advance.

Answer 1

[Torsten]

Use MATLAB's "pdepe" with the relation

C_j = C_j0 * (F_j / Ft) * (T0 / T) * (P / P0)

as algebraic equation.

The time-derivatives in the examples for "pdepe" become z-derivatives in your case.

Note that you work in a cylindrical r-coordinates ; thus m = 1 for "pdepe".