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

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SUMMARY

Hydraulic jumps occur when fluid transitions from supercritical to subcritical flow, typically at points surrounding the critical depth. The discussion highlights the importance of understanding the specific conditions that lead to the formation of hydraulic jumps, including flow velocity and channel geometry. Brett suggests consulting the HDS5 - Hydraulic Design of Highway Culverts for a more comprehensive understanding, noting that while the equations are accurate, some nomograms may contain significant errors. This indicates the necessity of careful interpretation of hydraulic design documents.

PREREQUISITES
  • Understanding of fluid dynamics principles, particularly supercritical and subcritical flow.
  • Familiarity with hydraulic jump concepts and critical depth calculations.
  • Knowledge of channel geometry and its impact on flow behavior.
  • Experience with hydraulic design documents, specifically HDS5 - Hydraulic Design of Highway Culverts.
NEXT STEPS
  • Research the equations governing hydraulic jumps and their applications in engineering.
  • Study the impact of channel geometry on the location and characteristics of hydraulic jumps.
  • Examine case studies of hydraulic jumps in various environments to understand practical implications.
  • Review the HDS5 document for detailed hydraulic design principles and potential errors in nomograms.
USEFUL FOR

Engineers, hydrologists, and students studying fluid dynamics who seek to deepen their understanding of hydraulic jumps and their practical applications in hydraulic design.

Brett0
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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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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.
 

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