Garden & outdoors

Liquid orifice discharge

Estimate discharge from head, circular opening size and a supplied coefficient.

Liquid orifice discharge
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A clear answer. Here’s how.

Uses Q=Cd·A·sqrt(2gh) for an incompressible liquid discharging from a large reservoir at a supplied constant head. Area is the geometric opening area; Cd is provided by you and is not inferred from edge shape. Downstream pressure, approach velocity, unsteady tank levels and gas compressibility are not modelled.

See a worked example

Worked example

A fixed demonstration, separate from the values you enter above.

Liquid head above opening centre (m)
1
Orifice diameter (mm)
10
Supplied discharge coefficient Cd
0.62

Example result

Discharge (L/min)
12.9392217822
Discharge (m³/s)
0.00021565369637
Ideal head-derived speed (m/s)
4.42869055139