Hydraulic Jump Calculator

Hydraulic Jump Calculator

Calculate the conjugate depth (y₂) after a hydraulic jump in a rectangular channel.

Last updated: March 2026 | By ForgeCalc Engineering

Conjugate Depth (y₂)
3.29
m (Meters)

What is a Hydraulic Jump?

A hydraulic jump is a phenomenon in the science of hydraulics which is frequently observed in open channel flow such as rivers and spillways. When liquid at high velocity discharges into a zone of lower velocity, a rather abrupt rise occurs in the liquid surface.

The rapidly flowing liquid is abruptly slowed and increases in height, converting some of the flow's kinetic energy into potential energy and heat. This is often used to dissipate energy below dams.

Bélanger Equation

y₂/y₁ = 0.5 * (√(1 + 8Fr₁²) - 1)

Where y₁ is the initial depth, y₂ is the conjugate depth, and Fr₁ is the initial Froude number.

Related Tools