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Plotting local surface integration along a line

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Hello,

I have a fluid flow model in a channel that has a rather complex geometry and cannot be sliced up. I'm trying to extricate local flow rates numbers (for the sake of averaging) from along this channel. I was able to do this by creating a parameterized surface that covers only the fluid section in the channel at the inlet, and then "walking" the surface along the channel by manually changing its coordinates. I used a derived integration value to get the actual flow rate (volumetric) out of integrating the local normal velocity over the surface. This was rather tedious and exactly the kind I thing I thought should have an automated solution for somewhere... but I couldn't find any sort of solution/information on how to do this automatically on the web.

Does anyone have any advice on this?

The ideal situation for me would be to cut a 3D line along the channel and then somehow plot the local surface integrations at each of the line's local x values.

Thanks,
-Michelle.

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