AdvancedTopic 75 of 105Thermodynamics & Fluids

Hydraulic jump

An abrupt rise in water level when flow changes from supercritical to subcritical.

In depth

When supercritical flow slows abruptly to subcritical, the depth jumps with significant energy dissipation: y₂/y₁=½(√(1+8Fr₁²)-1). Used in stilling basins to dissipate energy below dams and spillways, preventing erosion.

Key points

  • Conjugate depths
  • Energy loss ΔE=(y₂-y₁)³/(4y₁y₂)
  • Fr₁ >1.7 for jump
Example

Water leaving a spillway forms a jump in the stilling basin.

Why it matters

A hydraulic jump dissipates energy and changes flow state, which is used in spillways and stilling basins to protect structures.

Where this is used

  • Designing a stilling basin below a dam spillway.
  • Predicting the water level change after a sluice gate.
  • Checking energy loss in a channel with a sudden change in slope.

Frequently asked questions

What is Hydraulic jump?

An abrupt rise in water level when flow changes from supercritical to subcritical.

Why is it important to understand hydraulic jump?

A hydraulic jump dissipates energy and changes flow state, which is used in spillways and stilling basins to protect structures.

What is a hydraulic jump?

A sudden rise in water depth as fast shallow flow changes to slow deep flow, dissipating a large amount of energy.

Why is a jump useful in dams?

It dissipates the high energy of spillway flow so that it does not scour the river bed downstream.

How is Hydraulic jump used in practice?

Typical applications include designing a stilling basin below a dam spillway, predicting the water level change after a sluice gate and checking energy loss in a channel with a sudden change in slope.

What should I learn before Hydraulic jump?

Study "Open channel flow" first (topic 74 of 105 in Thermodynamics & Fluids). It covers the groundwork this topic builds on.

What are the key points of Hydraulic jump?

Conjugate depths. Energy loss ΔE=(y₂-y₁)³/(4y₁y₂). Fr₁ >1.7 for jump.

Can you give an example of Hydraulic jump?

Water leaving a spillway forms a jump in the stilling basin.

What comes after Hydraulic jump?

The next topic is "Compressible flow", which builds directly on this one.

How difficult is Hydraulic jump?

It is classed as Advanced in Thermodynamics & Fluids (topic 75 of 105). It is an advanced topic. It assumes you are comfortable with the intermediate topics in Thermodynamics & Fluids.

Learning path

Want to practise? Open the interactive course for quick checks, quizzes, simulations and progress tracking.

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