fluid flow simulation across a geometry made in 2D
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Hello everyone,
I have started working with Matlab since couple of weeks. I am looking for a possible solution if we can perform in Matlab. I have a flowing geometry in 2D and I would like to find pressure at all the nodes providing the mass flow rate as an input. Also would like to find the distribution across the region.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1516061/image.png)
Would like to understand if such mathematical model is possible in matlab and if so, where do i start.
Thanks in advance.
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Zak
2023-10-28
If each element is a pipe and you know the flow rate, you can get the pressure drop from the Hagen-Poiseuille equation. At each fork, the mass would have to be conserved. If you can assume that the fluid is incompressible it would be as simple as Q_in = Q_out at each node, although some will have more than one inlet or outlet.
I'm guessing that you'd end up with a big system of equations to solve. At first glance it looks like it would be a linear system, but I didn't work it out.
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