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About general projection orlinear projection

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Hello, hoe are you?
I had read this post about projections:
www.comsol.com/blogs/analyze-s...-results-projection-operators/
It seems to bevery helpful to calculate the average value of a variable along a channel. In this case the concentration.
I need basically to do the same, but what happen is that my channel is rectangular in shape and it is a 3D channel. I had tried doing something similar to what it is written on the post, but i can not get any advance. I had read the documentation on the comsol pdfs, but it was not too helpfully for me.
Someone could give me an advice about how can i define a linear projection or general projection in a 3D channel like mine in order to calculate the average concentracion in all cross sections along the channel length?

thank you very much
Houari

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