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I'm not really sure where to post this. I saw that this Homework section exists even for technically non-homework (I'm designing a machine at work, but the problem is homework-esque and my fluid dynamics knowledge is rusty at best). I'm not sure if this introductory or advanced, and the template didn't really make sense to use either (sorry).

I have water flowing down a pipe and onto a (barely) inclined flat smooth plane with flat smooth walls along the sides. The end is open.

I know the volumetric flow rate and the velocity in the pipe. However, I'm unsure about the velocity on the inclined plane. What I basically want to be able to calculate is what width of the inclined plane I need in order to acheive a specific water depth on the plane with a given volumetric flow rate. And for this I THINK I need the velocity (A=Q/v).

I assume that it will be a (hopefully short) transient where the velocity changes from the one in the pipe to the one on the plane, but I'm after the steady state velocity.

Are there any equations which I can use to solve this?

Any help appreciated! :)

I have water flowing down a pipe and onto a (barely) inclined flat smooth plane with flat smooth walls along the sides. The end is open.

I know the volumetric flow rate and the velocity in the pipe. However, I'm unsure about the velocity on the inclined plane. What I basically want to be able to calculate is what width of the inclined plane I need in order to acheive a specific water depth on the plane with a given volumetric flow rate. And for this I THINK I need the velocity (A=Q/v).

I assume that it will be a (hopefully short) transient where the velocity changes from the one in the pipe to the one on the plane, but I'm after the steady state velocity.

Are there any equations which I can use to solve this?

Any help appreciated! :)

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