Download your PDF
Hydraulic Jump Calculator result sheet — free, supported by sponsors. Your download button appears in 20 seconds.
This free download is supported by sponsors — continuing in
20
Your file is generated in your browser when you choose Download — nothing is uploaded. If this calculator returns enough numeric data, the export also includes its best-fit chart alongside the readable table.
WorldCalculate result export
Hydraulic Jump Calculator — result sheet
Estimate sequent depth, depth ratio, and idealized energy loss for a rectangular-channel hydraulic jump.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: y₂/y₁ = [√(1+8Fr₁²)−1]/2; ΔE = (y₂−y₁)³/(4y₁y₂).
The Bélanger sequent-depth relation models a hydraulic jump in a rectangular channel from the upstream depth and Froude number. The energy-loss output is the ideal specific-energy loss for this narrow model.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Upstream depth y₁ — m; minimum 1.0E-6; maximum 1000000
- Upstream Froude number Fr₁ — minimum 1.000001; maximum 1000000
- Gravitational acceleration — m/s²; minimum 1.0E-6; maximum 100
Worked example
| Input | Value |
|---|---|
| Upstream depth y₁ | 0.5 |
| Upstream Froude number Fr₁ | 3 |
| Gravitational acceleration | 9.80665 |
The downstream sequent depth is about 3.77 times the upstream depth, or 1.89 m.
Assumptions and limits
- The channel is rectangular, horizontal, prismatic, and wide enough for the one-dimensional relation.
- The upstream flow is supercritical, represented by Fr₁ greater than one.
- Channel roughness, air entrainment, incomplete jumps, tailwater control, slopes, and design safety are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
No saved result was found. Please run the calculation first, then choose Download again.