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Cooling of a pipeline (instationary problem)

Cooling of a pipeline (instationary problem)

Cooling of a pipeline (instationary problem)

(OP)
Anybody out there who has a piece of software/spreadsheet - preferrably for free because i dont have time to buy it - to calculate the following problem:

The flow in a buried pipeline filled with a warm liquid is suddely stopped. Prior to this a fully developed steady state heat profile is assumed. Temperature at the point X is know and the ambient soil temperature (its OK to assume that the pipeline is buried sufficiently deep so that the surface does not interact with the profile)

How does the temperature profile develop from there (one dimentinal in the cross sectional plane is just fine)

Best regards

Morten

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