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The emptying of a reservoir is a classic theme of fluid mechanics.
The calculation of the fluid velocity is based on the height of water if the reservoir is open.
Torricelli's formula gives us v = v 2g.z
where
g is gravity (9.81ms ²)
z is water depth (m)
The emptying time depends on the relationship between sections of the reservoir and the orifice and varies over time depending on the height of water left in the reservoir.
The formula of the integral gives: Time Drain = S / s. v 2h / g
Where
g is gravity (9.81ms ²)
h water depth (m)
S section of the tank
s section of orifice
The output of the fluid does not form on the surface of the orifice

(section of the jet remains below the section of the hole)
the actual throughput is lower than the theoretical throughput.
We apply a coefficient of flow (discharge coefficient) which verifies: real volumetric flow / theoretical flow =coeff.

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