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Hydraulics2D

Open Channel Flow: Non-Uniform Flow - Theory & Concepts - Hydraulic Jump

Specific energy, critical controls, momentum function, hydraulic jumps, gradually varied flow equations and profiles, and direct- and standard-step computations.

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Hydraulic Jump Simulator

y₁y₂V₁V₂

A hydraulic jump requires supercritical approach flow (Fr1>1Fr_1>1). The rectangular-channel conjugate-depth equation assumes a horizontal prismatic channel and negligible friction through the short jump region.

Steady jump
Upstream
V₁ = 10.00 m/s
Fr₁ = 4.52
Downstream
y₂ = 2.953 m
Fr₂ = 0.31
Specific-energy loss2.498 m
Energy retained55.4%
Momentum-function check8.9e-16