Punctured Pipeline: Estimate Oil Release Rate

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Discussion Overview

The discussion revolves around estimating the volume of oil released from a punctured pressurized pipeline. Participants explore the dynamics of flow through a hole in the pipeline while considering the ongoing flow of oil within the pipeline itself. The context includes practical application rather than theoretical or homework-related inquiries.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant describes the scenario of a punctured pipeline with specific dimensions and pressures, seeking to estimate the released volume of oil.
  • Another participant suggests using an online orifice flow calculator and provides a range for the orifice constant.
  • A participant expresses confusion regarding the relationship between the total flow into the pipeline and the flow through the hole, questioning the application of flow equations.
  • Another participant clarifies that the flow through the orifice is indeed a fraction of the total flow, providing an example to illustrate this point.
  • A participant introduces an alternative equation for estimating leakage through small holes and seeks clarification on the concept of "head" in this context.
  • Another participant explains the concept of head and provides a reference for further understanding.

Areas of Agreement / Disagreement

Participants generally agree on the need to consider both flows in the pipeline and through the hole, but there is ongoing confusion and debate regarding the application of flow equations and the concept of head. No consensus has been reached on the best approach to estimate the oil release rate.

Contextual Notes

Participants have not fully resolved the mathematical relationships between the flows, and there are uncertainties regarding the definitions and calculations of specific parameters such as head.

kolis
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Hi,
I've got punctured pressurized pipeline transporting an oil. Diameter of pipeline is 50 mm and diameter of the hole is only 2 mm. Pressure in the pipeline is 20 bar and pressure outside is atmospherical. The rate of transported oil is 2m3 per hour and I need to estimate released volume of oil, while pump is still working so I have two flows: one through the hole and another one continuous in pipeline after the hole.
Any help will be appreciated. Thanks
 
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kolis said:
Hi,
I've got punctured pressurized pipeline transporting an oil. Diameter of pipeline is 50 mm and diameter of the hole is only 2 mm. Pressure in the pipeline is 20 bar and pressure outside is atmospherical. The rate of transported oil is 2m3 per hour and I need to estimate released volume of oil, while pump is still working so I have two flows: one through the hole and another one continuous in pipeline after the hole.
Any help will be appreciated. Thanks

Welcome to the PF.

Is this question for schoolwork?
 
No it's not schoolwork.it has happened and I would like to know how much oil has leaked out.
 
Ok. But I've still got a problem with understanding this: When I've got a hole in a pipe there are two flows (one trough a hole and 2nd in pipe), so the flow through the hole is just a fraction of incoming flow. In equation it should be Qin=Qhole + Qpipe after hole and when I calculate flow through an orifice its just one flow so Qin=Qorifice
Or am I wrong?
 
Yes, flow through orifice is a fraction of total flow in. Let's say the flow out the orifice is 2 GPM which equates to 0.45 cubic meters per hour. If you have a flow of only 2.00 cubic meters per hour before the orifice, you only have a flow of 1.55 cubic meters after the orifice.
 
Ok.
I've found another equation to estimate leakage amount through small holes in a pipeline. It says:
Q=0.61A(2gh)^0.5

where
Q is flow in cu. ft./second
A is cross sectional area, sq. ft.
g is gravitational constant, ft/sec^2
h is head, feet
It looks like this is the right equation for me. Problem is, I don't know what is head or how can I calculate. Any help?
 

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