Hydraulic Jump Head Loss Calculator

Calculate hydraulic jump losses with practical channel inputs. Check depths, energy, Froude, and efficiency fast. Download results for clear open channel review today reports.

Hydraulic Jump Head Loss Form

Formula Used

Unit discharge: q = Q / b

Upstream velocity: V1 = q / y1

Froude number: Fr1 = V1 / √(g × y1)

Sequent depth for rectangular channel: y2 = y1 / 2 × [√(1 + 8Fr1²) - 1]

Specific energy: E = y + V² / 2g

Head loss: ΔE = E1 - E2

Conjugate depth loss check: ΔE = (y2 - y1)³ / (4 × y1 × y2)

Power dissipated: P = γ × Q × ΔE

How to Use This Calculator

  1. Select the unit system for your open channel data.
  2. Enter upstream depth, discharge, and rectangular channel width.
  3. Enter observed downstream depth only when field data is available.
  4. Keep default gravity and unit weight, or edit them.
  5. Press the calculate button to show results above the form.
  6. Use CSV or PDF buttons to save the calculation.

Example Data Table

Case y1 Q b g Expected Use
Small flume 0.25 m 2.4 m³/s 2 m 9.81 m/s² Teaching and quick checks
Stilling basin 0.45 m 12 m³/s 4 m 9.81 m/s² Preliminary design review
US channel 1.5 ft 420 ft³/s 14 ft 32.174 ft/s² Field comparison

Hydraulic Jump Head Loss Guide

Why Head Loss Matters

A hydraulic jump forms when fast shallow flow changes into slower deep flow. This change happens in open channels, stilling basins, culverts, spillways, and flumes. The jump dissipates energy. That energy loss protects downstream beds, walls, and structures from damaging velocity. A good estimate helps engineers judge whether a basin is long enough. It also shows if the tailwater depth can support the jump.

Key Flow Inputs

The main inputs are upstream depth, channel width, total discharge, gravity, and water unit weight. The calculator first finds discharge per unit width. It then computes upstream velocity and the Froude number. A Froude number above one indicates supercritical flow. That condition is required for a classical hydraulic jump. The conjugate depth formula gives the expected downstream depth for a rectangular channel.

Interpreting the Result

Head loss is the drop in specific energy across the jump. Specific energy includes flow depth and velocity head. A larger jump usually has a larger depth change. It also produces greater turbulence and stronger energy dissipation. The tool reports upstream energy, downstream energy, loss, efficiency, power loss, and an estimated jump length. These values make review easier during early design.

Using Observed Depth

Sometimes a measured downstream depth is available. The optional depth field lets you compare observed conditions with theory. If the observed depth is close to the conjugate depth, the jump is more likely to remain stable. A large difference may suggest drowned flow, swept-out flow, or a poor basin setup.

Design Notes

This calculator assumes a horizontal rectangular channel and hydrostatic pressure distribution. Real projects may need corrections for slopes, roughness, air entrainment, approach conditions, and wall effects. Use the output for planning and checking. Final hydraulic structures should be reviewed with complete site data and accepted design guidance.

Practical Checks

Review the Froude number before trusting the jump estimate. Values near one may produce a weak jump. Higher values can create stronger turbulence and more reliable energy dissipation. Check that the estimated jump length fits within the available basin. Also compare power loss with erosion protection needs. Good calculations support safer channels and clearer decisions. Document assumptions clearly before sharing outputs with project reviewers.

Frequently Asked Questions

What does hydraulic jump head loss mean?

It is the specific energy lost when supercritical flow changes into subcritical flow. The loss appears as turbulence, rollers, air mixing, heat, and downstream velocity reduction.

Which channel shape does this calculator use?

It uses rectangular channel equations. The sequent depth and head loss formulas assume a horizontal rectangular channel with hydrostatic pressure distribution.

Why is the Froude number important?

The Froude number shows whether flow is supercritical or subcritical. A classical hydraulic jump normally requires upstream Froude number greater than one.

Can I enter measured downstream depth?

Yes. Use the optional observed depth field. The calculator will compare it with the theoretical sequent depth and use it for the energy balance.

What does energy efficiency show?

Energy efficiency shows the downstream specific energy as a percentage of upstream specific energy. Lower efficiency means greater energy dissipation across the jump.

Is the jump length exact?

No. The jump length is an estimate. Real length depends on basin shape, roughness, sidewalls, air entrainment, approach flow, and tailwater conditions.

Can this be used for final design?

Use it for preliminary checks and learning. Final design should include complete hydraulic analysis, local standards, safety factors, and professional review.

Why can head loss become negative?

A negative value can happen if an unsuitable observed depth is entered. It may indicate non-conjugate depths, drowned flow, bad input data, or no stable jump.

Related Calculators

Paver Sand Bedding Calculator (depth-based)Paver Edge Restraint Length & Cost CalculatorPaver Sealer Quantity & Cost CalculatorExcavation Hauling Loads Calculator (truck loads)Soil Disposal Fee CalculatorSite Leveling Cost CalculatorCompaction Passes Time & Cost CalculatorPlate Compactor Rental Cost CalculatorGravel Volume Calculator (yards/tons)Gravel Weight Calculator (by material type)

Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.