水跃计算器 — 公式
## 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.
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.
计算示例
y1 = 0.5 m, v1 = 5 m/s.
- Fr1 = 5 / sqrt(9.807 * 0.5) = 5 / 2.214 = 2.259
- y2 = (0.5/2) * (sqrt(1 + 8*5.103) - 1)
- y2 = 0.25 * (sqrt(41.82) - 1)
- y2 = 0.25 * (6.467 - 1) = 1.367 m