Equation for Water Flow Over Pipe Circular Hole

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Discussion Overview

The discussion revolves around deriving an equation for the water level (h) from a circular hole in a pipe, with the pipe positioned 5 meters above the ground. The focus includes the conditions under which the water flows and the factors influencing the flow rate.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant questions the existence of a simple equation, suggesting that it would depend on factors such as the diameter of the pipe and the flow rate of the water.
  • Another participant proposes that additional information is necessary, such as whether the pipe is draining itself or if it is connected to a reservoir, and mentions that the length of the pipe might also be relevant.
  • A suggestion is made to look into channel flow for potentially useful information related to the problem.
  • A later reply recommends consulting the HDS5 Hydraulic Design of Highway Culverts as a definitive resource for culvert-related flow problems.

Areas of Agreement / Disagreement

Participants express uncertainty regarding the formulation of a specific equation and highlight the need for more information, indicating that multiple competing views remain without a consensus.

Contextual Notes

Limitations include the lack of clarity on the flow conditions, such as whether the pipe is continuously filled or draining, and the potential impact of the pipe's length and diameter on the flow rate.

Moayd Shagaf
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suppose a water falling from pipe that above the ground with 5 meters,
what is the equation that describe the level of water ( h) from pipe the hole at every moment of time? consider the pipe hole is circle

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I'm not sure there is a simple equation for that, but it would depend on the diameter of the pipe and flow rate of the water.
 
Moayd Shagaf said:
suppose a water falling from pipe that above the ground with 5 meters
One might need more information.
Is the pipe draining itself, with no more water being added than initially. Length of pipe might be useful.
Or a pipe that is emptying say a reservoir with a small head, such as a culvert from one side of the road to the other into a ditch.
Look up channel flow and you might find something there.
 
If this is a culvert problem, then the definitive resource is HDS5 Hydraulic Design of Highway Culverts. Google the title, it's available free online from the Federal Highway Administration.
 

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