Flow discharge between 2 open water bodies connected by a concrete sluice

AI Thread Summary
The discussion focuses on calculating flow discharge between two open water bodies connected by a trapezoidal concrete sluice with gates. The discharge rate is approximately 50m^3/s, with an average velocity of 3-5 m/s. Key considerations include the impact of a vacuum suction divide and a vertical axis turbine on flow rate and head loss. Participants suggest using appropriate hydraulic design equations and refer to the HDS5 Hydraulic Design of Highway Culverts for guidance, noting potential errors in some nomographs. Calculating a system curve is recommended to determine the allowable head loss due to the turbine at the specified flow rate.
krissturm
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Hello,
Looking for help with a physics problem.

I am dealing with a problem regarding the flow discharge between 2 open water bodies connected by a concrete sluice with gates. The issue is that the channel is not straight but rather a trapezoid (image of the cross-section below). The discharge from 1 of the gates is said to be ~50m^3/s and the average velocity is between 3-5 m/s.

I would like to know what kind of formulas should I be looking for when dealing with such a shape. In the middle of the dike, there is a vacuum suction divide that creates a vacuum so that the water can flow freely. Additionally, a vertical axis turbine will be installed there so how should I approach the losses that the turbine will add to the flow rate?

The length from 1 basin to the other is 65m. The openings are 3.2m x 3.2m and the water level on one side is approx. -80cm NAP and on the other side approx. -30cm NAP

Picture 1.jpg
 
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Take a look at HDS5 Hydraulic Design of Highway Culverts. It's a free PDF, but be aware that at least one of the nomographs is seriously in error. Use the equations, those are correct.

Hint 1: It's under inlet control.

Hint 2: Calculate a system curve. That will tell you exactly how much head loss you can add with a turbine at your desired flow rate.
 

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