// multi-utility computation suite · offline · instant · precise
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sci.hydraulic-jump-Froude Calculator
Calculates the conjugate depth ratio y₂/y₁ = (√(1+8Fr₁²)−1)/2 and energy loss across a hydraulic jump from upstream Froude number. Hydraulic jump energy dissipation = 57% for Fr₁ = 5, and up to 85% for Fr₁ = 10 — used as an energy dissipator downstream of spillways and weirs.
Inputs
Fr1
Count of items or occurrences.
Y1 M
Vertical extent downward, or thickness of a layer. For tanks: affects pressure at the base (P = ρgh).
B M
Horizontal extent perpendicular to the length.
Results
conjugate depth y₂ (m)
The computed depth.
downstream Froude Fr₂
Sample size or count used in the calculation.
flow rate Q (m³/s)
Flow rate Q — the volume of fluid passing a point per unit time.
energy loss E_L (m)
The decrease or degradation from the baseline.
y₂/y₁ = (√(1+8Fr₁²)−1)/2
Reference formula or conversion factor shown for context.
jump type
The classification or type assigned based on the inputs.