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Classification of hydraulic jump by Froude number

Short answer

Based on upstream Froude number Fr₁: undular (1.0–1.7), weak (1.7–2.5), oscillating (2.5–4.5), steady (4.5–9.0), and strong (>9). Steady jump dissipates 45–70% energy and is preferred for stilling basins.

Classify the hydraulic jump based on Froude number.

Hydraulic jumps are classified by the upstream Froude number Fr1Fr_1 (USBR classification):

Fr1Fr_1Type of jumpFeatures
1.0No jumpcritical flow
1.0 to 1.7Undular jumpsurface shows undulations (standing waves); little energy loss (under 5%)
1.7 to 2.5Weak jumpseries of small rollers; smooth downstream surface; loss 5 to 15%
2.5 to 4.5Oscillating jumpjet oscillates between bed and surface, producing irregular waves that travel far downstream; loss 15 to 45%
4.5 to 9.0Steady jumpwell-balanced, stable and well-defined; best for energy dissipation; loss 45 to 70%
above 9.0Strong jumprough, choppy surface, high energy dissipation (over 70%), but the downstream waves can be damaging

The percentage of energy lost, ΔE/E1\Delta E/E_1, rises with Fr1Fr_1. Stilling basins are designed to produce a steady jump (Fr1=4.5Fr_1 = 4.5 to 99); oscillating jumps are avoided.

✓ Answer checked by Claude Opus 5.5 (high effort)

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