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system schematic

I have system as seen in the figure. The pump will supply constant volumetric flow rate and the water will fill the first rectangular prism. I couldnt find the water height after water starts to overflow to the upper prism (open channel). The pump will supply 139.57 gph at calculated system head.

Both prisms have b = 28 cm in width and other dimensions given in the figure. (Reynold's Number in the channel flow must be lower than 500 to get a laminar flow.)

How can I determine the water height (y) after the overflow?

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  • $\begingroup$ You've made a bunch of statements but didn't ask a question. What is the problem? Please edit to clarify. $\endgroup$
    – Transistor
    Commented Jan 2 at 20:43
  • $\begingroup$ sorry sir, i was trying to ask with "I coulndnt find the water height". I added the question below. $\endgroup$
    – Ali Akbaş
    Commented Jan 2 at 21:35
  • $\begingroup$ where is y in the diagram? ... the most simiar label that I can see is a V $\endgroup$
    – jsotola
    Commented Jan 3 at 2:14
  • $\begingroup$ why do you call it prism? $\endgroup$
    – jsotola
    Commented Jan 3 at 2:17
  • $\begingroup$ Just assume incompressible fluid flow, and equilibrium with no water leaving the system (no evaporation, etc), and answer what area you need to match the flow rates. Once you have an area, you just need to answer what y gives you that area. (Not a complete answer; someone still has some work to do regarding velocities) $\endgroup$
    – Abel
    Commented Jan 3 at 3:42

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