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Physics

Hydraulic jump

Use mass and momentum conservation to calculate a hydraulic jump. Change flow and incoming depth, then compare Froude number, conjugate depth and energy loss.

Hydraulic jump — Actual application image
Actual application image

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A supercritical stream can jump to its conjugate subcritical depth. Compare conserved momentum with lost mechanical head. The roller profile is schematic, not a turbulence simulation.

Equations used in the module
Equations
Fr₁ = u₁/√(g h₁); q = u h
h₂/h₁ = [√(1+8 Fr₁²) − 1]/2
q²/h + g h²/2 = constant across jump
ΔE = (h₂−h₁)³/(4h₁h₂)

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