Orifice and Weir Calculator

Estimate discharge through a circular orifice or over a simple rectangular weir.

Orifice and weir calculator graphic showing head, circular orifice flow, rectangular weir flow, inputs, and outputs

Orifice and Weir Calculator

Estimate discharge through a circular orifice or over a simple rectangular weir.

Method notes

The orifice option uses Q = Cd A sqrt(2gH). The rectangular weir option uses Q = Cd (2/3) b sqrt(2g) H^(3/2). Confirm local design criteria and coefficient assumptions before design use.

This is a simplified hydraulic screening tool.

What this calculator does

This tool provides simplified discharge estimates for orifice and rectangular weir conditions using head, opening size, and discharge coefficient.

Inputs explained

  • Method: Select orifice or rectangular weir.
  • Diameter or width: Orifice diameter or rectangular weir width.
  • Head: Driving water head above the orifice centerline or weir crest.
  • Discharge coefficient: Coefficient used to account for contraction and losses.

Limitations

This simplified tool does not account for submerged flow, tailwater, approach velocity, complex outlet structures, trash racks, clogging, or detailed stage-discharge curves.

FAQ

What head should I use for an orifice?

For a small orifice, head is commonly measured from the water surface to the centerline of the opening.

What head should I use for a weir?

For a rectangular weir, head is measured above the weir crest.

What discharge coefficient should I use?

Use the coefficient required by the local standard, hydraulic reference, or manufacturer. The default is only a starting point.

Can this size a detention outlet?

It can support early checks, but final outlet sizing should use a stage-discharge relationship and routing.

Related tools

Need help reviewing this result?

Use this calculator for planning-level checks, then request help if you need a second look at assumptions, units, stormwater criteria, pump sizing, storage volume, or report-ready calculations.