Equation for Water Flow Over Pipe Circular Hole

[Moayd Shagaf]

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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[russ_watters]

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.

 

[256bits]

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.

 

[jrmichler]

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.