Calculating Water Flow from Burst Pipe in Chicago

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SUMMARY

The discussion focuses on calculating the water flow from a burst pipe in Chicago, specifically a 3/4 inch diameter pipe under 15 psi pressure. The water flowed for 45 minutes at a temperature of 130°F. The key formula referenced is Bernoulli's equation, which relates pressure, density, and speed, along with the flow rate calculation as speed multiplied by area. This information is crucial for estimating the total volume of water discharged onto the roof.

PREREQUISITES
  • Understanding of Bernoulli's equation
  • Basic knowledge of fluid dynamics
  • Familiarity with flow rate calculations
  • Concept of pressure measurement in psi
NEXT STEPS
  • Research Bernoulli's equation in-depth
  • Learn about flow rate calculations for circular openings
  • Explore the effects of water temperature on density
  • Investigate pressure loss in piping systems
USEFUL FOR

Engineers, particularly civil and mechanical engineers, as well as anyone involved in plumbing or hydraulic systems, will benefit from this discussion on calculating water flow from a burst pipe.

berniebs
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A pipe broke on the roof of a public building here in Chicago. Although I am an electrical engineer and very rusty on hydraulics and water flow, I have been asked to estimate the amount of water dumped on the roof of this building, as follows:

Diameter of the burst pipe: 3/4 in.
Water temperature: 130 degr F
Pressure: 15 lbs

Water flowed for 45 minutes before being shut off. I assume the break allowed water to flow freely from a 3/4 in diameter opening.

I would appreciate it if someone can send me the formula for this calculation. I have searched a number of PF postings, without luck.

Thanks,

berniebs
berniebs@comcast.net
 
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Welcome to PF!

berniebs said:
… I have been asked to estimate the amount of water dumped on the roof of this building, as follows:

Diameter of the burst pipe: 3/4 in.
Water temperature: 130 degr F
Pressure: 15 lbs

Water flowed for 45 minutes before being shut off. I assume the break allowed water to flow freely from a 3/4 in diameter opening.

Hi berniebs! Welcome to PF! :smile:

Bernoulli's equation along a streamline (essentially, KE = work done ), assuming zero speed at zero pressure:
pressure + (density)(speed)2/2 = 0

and of course flow rate = speed x area.

(For details to impress your colleagues with, see the PF Library :wink:)
 

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