Can we solve convection diffusion equation using pdetoolbox given a is constant vector?
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Hi!
We would like to solve the following 2D convection diffusion equation. Would it be possible using vanilla MATLAB pdetoolbox?
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1222947/image.png)
where
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1221977/image.png)
or the flow is laminar in simpler words.
2 个评论
Torsten
2022-12-7
Why v_x ? Shouldn't it be v_y ?
For r=R, velocity should be 0. This is not the case for your formula.
Are you sure diffusion in x-direction is relevant compared to convection in y-direction ?
In other words: Don't you think it suffices to solve
dc/dt = -v_y * dc/dy - f(c)
?
回答(1 个)
SAI SRUJAN
2023-10-27
Hi Hashim,
I understand that you are trying to solve a non linear partial differential equation.
Typically, the Partial Differential Equations (PDEs) in MATLAB adhere to the following format,
c(x,t,u,du/dx).du/dt=(x^-m).d/dx[(x^-m)f(x,t,u,du/dx)]+s(x,t,u,du/dx)
Given a PDE, model the partial differential equation to make an analogy to the format specified above.To be more specific in resolving the issue, you can use the "pdepe" MATLAB function to further solve the issue by setting initial and boundary conditions.
For a comprehensive understanding of the "pdepe" function in MATLAB, please refer to the following documentation.
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