enclosed pipe volumes at various pressures
enclosed pipe volumes at various pressures
(OP)
I'm looking for a relationship between pressure and change in the enclosed volume of a pipe. I have the equations to generate radial, tangential, and longitudinal stresses. I had planned to use these values to get strains and convert that into a change in volume.
I am concerned that the radial and tangential components of stress will not be valid in common forms of Hooke's law (xyz coordinates). Consequently, I don't trust that I'll get accurate estimates of volume change.
The system uses various NPS 2 and smaller Sch 160 pipes.
Operating pressures range from 500 to 1500 psig.
All cases are assumed to be static (non-flowing, steady state).
Pipes have closed ends.
Is there a relatively simple relationship I might use to estimate enclosed volume at several different pressures?
I am concerned that the radial and tangential components of stress will not be valid in common forms of Hooke's law (xyz coordinates). Consequently, I don't trust that I'll get accurate estimates of volume change.
The system uses various NPS 2 and smaller Sch 160 pipes.
Operating pressures range from 500 to 1500 psig.
All cases are assumed to be static (non-flowing, steady state).
Pipes have closed ends.
Is there a relatively simple relationship I might use to estimate enclosed volume at several different pressures?





RE: enclosed pipe volumes at various pressures
I think you'll have to share what you are trying to test before any working engineer will take this question seriously.
David Simpson, PE
MuleShoe Engineering
In questions of science, the authority of a thousand is not worth the humble reasoning of a single individual. Galileo Galilei, Italian Physicist
RE: enclosed pipe volumes at various pressures
Where did you find a volume-pressure relationship on 2" Sch 160 pipe? that's exactly the type of information I'm looking for.
RE: enclosed pipe volumes at various pressures
That's all assuming your temperature doesn't change.
What's your issue?
As dave say though for a relatively short section of small diameter pipe, your volume change will be nearly impossible to measure or see. Therefore the application of this seems to be irrelevant.
Remember - More details = better answers
Also: If you get a response it's polite to respond to it.
RE: enclosed pipe volumes at various pressures
I read you question as concerning the possible expansion of the pipe segment itself (the steel) as caused by increasing pressure? BUT you may also be asking for an equation the correlated pressure change with temperature change in an enclosed volume?
Best regards, Morten
RE: enclosed pipe volumes at various pressures
I expect the change in volume to be very small. If I could find the relationships myself, I suspect I could rule this out. However, I only have a half solved problem and anecdotes. Statements of assumption and the authoritative words of others on an internet forum will not suffice.
As mentioned above, I already know how to solve the stress states for a thick walled pressure vessel (pipe with closed ends, internal pressure, no other external forces). Such relationships are easy to find in several references. These do not give quantitative information about volume change.
RE: enclosed pipe volumes at various pressures
http://www.ewp.rpi.edu/hartford/users/papers/engr/...
http://www.ewp.rpi.edu/hartford/users/papers/engr/...
Remember - More details = better answers
Also: If you get a response it's polite to respond to it.
RE: enclosed pipe volumes at various pressures
RE: enclosed pipe volumes at various pressures
Richard A. Cornelius, P.E.
WWW.amlinereast.com