Hydraulic jumps: Why do they occur when/where they do?

In summary, the conversation discussed the concept of hydraulic jumps, specifically how they occur and their location. The participants referred to a Wikipedia article and a document for further understanding. However, there were still questions regarding why the jump occurs and its dependence on location.
  • #1
Brett0
9
0
Hi guys,

I've been doing some light reading on hydraulic jumps.
For example:


So I've been through the basics, super critical to sub ciritcal etc:
https://en.wikipedia.org/wiki/Hydraulic_jump

So far I understand that the jump occurs at the two points either side of the critical depth, like we see here:
https://en.wikipedia.org/wiki/Hydra...annels-,Energy loss,the equation for ΔE below.

What I don't get is why does the jump occur in the first place? for example in the video above why doesn't the flow just remain super critical? why does the jump happen at the length-wise location that it does? what does that depend on?

Any thoughts?

Brett
 
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  • #2
For discussion of hydraulic jumps with less math and more discussion than the Wikipedia hydraulic jump article you referenced above, search a copy (free online) of HDS5 - Hydraulic Design of Highway Culverts.

The text and equations in that document are all believed to be correct, but at least one of the nomograms is wrong by an order of magnitude.
 

1. What is a hydraulic jump?

A hydraulic jump is a phenomenon that occurs when a fast-moving, high-velocity flow of water suddenly encounters a slower-moving, lower-velocity flow. This abrupt change in flow causes a rapid increase in water depth and a decrease in velocity, resulting in a turbulent, chaotic flow pattern.

2. Why do hydraulic jumps occur?

Hydraulic jumps occur due to the conservation of energy principle in fluid mechanics. When a fast-moving flow encounters a slower-moving flow, the sudden decrease in velocity causes a rapid increase in water depth, which in turn increases the pressure. This increase in pressure results in the dissipation of kinetic energy, causing the flow to become turbulent and form a hydraulic jump.

3. Where do hydraulic jumps occur?

Hydraulic jumps can occur in any situation where there is a sudden change in flow velocity, such as at the base of a dam, over a spillway, or in open channels. They are also commonly seen in household appliances such as washing machines and dishwashers.

4. What factors affect the formation of hydraulic jumps?

The formation of hydraulic jumps is affected by several factors, including the initial flow velocity, the depth of the water, and the slope of the channel. Other factors such as the surface roughness and the presence of obstacles can also influence the formation and characteristics of a hydraulic jump.

5. How are hydraulic jumps useful?

Hydraulic jumps are useful in various engineering applications, such as controlling the flow of water in dams and spillways, dissipating energy in hydraulic structures, and mixing and aeration processes in wastewater treatment plants. They also play a crucial role in the study of fluid mechanics and are used as a tool for measuring flow velocities and depths in open channels.

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