Coupled Partial Differential Equation
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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.
5 个评论
Torsten
2019-6-3
Any relationship between F_j and C_j ?
Bosnian Kingdom
2019-6-3
编辑:Bosnian Kingdom
2019-6-3
Bosnian Kingdom
2019-6-5
Zain Shabeeb
2019-7-7
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
2019-8-18
回答(1 个)
Torsten
2019-6-4
移动:Steve Miller
2023-1-10
0 个投票
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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