Calculateur de Ressaut Hydraulique Gratuit
Calculez les caractéristiques d'un ressaut hydraulique. Déterminez les hauteurs conjuguées et la perte d'énergie.
Upstream Froude Number
2.2580
Upstream Froude Number vs Upstream Depth (y1)
Formule
Hydraulic Jump
A hydraulic jump occurs when supercritical flow (fast, shallow) abruptly transitions to subcritical flow (slow, deep).
Downstream Depth
y2 = (y1/2) * [sqrt(1 + 8 Fr1^2) - 1]
where Fr1 = v1 / sqrt(g y1) is the upstream Froude number (must be > 1 for a jump to occur).
Energy is dissipated in the turbulent roller, making hydraulic jumps useful for energy dissipation in spillways.
Exemple Résolu
y1 = 0.5 m, v1 = 5 m/s.
- 01Fr1 = 5 / sqrt(9.807 * 0.5) = 5 / 2.214 = 2.259
- 02y2 = (0.5/2) * (sqrt(1 + 8*5.103) - 1)
- 03y2 = 0.25 * (sqrt(41.82) - 1)
- 04y2 = 0.25 * (6.467 - 1) = 1.367 m
Questions Fréquentes
Where do hydraulic jumps occur in nature?
At the base of dams and spillways, in tidal bores (like the Severn Bore), and when a fast stream enters a deeper, slower pool.
Can a hydraulic jump be used to mix fluids?
Yes. The intense turbulence in the jump is excellent for mixing, aeration, and chemical treatment in wastewater facilities.
What happens to the energy?
Kinetic energy is converted to turbulent mixing and heat. The energy loss increases with the Froude number.
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