Calculadora de Ressalto Hidráulico
Calcule as alturas conjugadas e a perda de energia em um ressalto hidráulico. Usado em engenharia hidráulica e canais abertos.
Upstream Froude Number
2.2580
Upstream Froude Number vs Upstream Depth (y1)
Formula
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.
Exemplo Resolvido
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
Perguntas Frequentes
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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