Coupled Partial Differential Equation

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Bosnian Kingdom
Bosnian Kingdom el 3 de Jun. de 2019
Movida: Steve Miller el 10 de En. de 2023
Hello, I need to solve two dimensional Partial Differential Equations:
2D PDE.jpg
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.
  5 comentarios
Zain Shabeeb
Zain Shabeeb el 7 de Jul. de 2019
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
Bosnian Kingdom el 18 de Ag. de 2019
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.

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Respuestas (1)

Torsten
Torsten el 4 de Jun. de 2019
Movida: Steve Miller el 10 de En. de 2023
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".

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