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A Bayesian analysis of fluid flow in pipe‐lines
Author(s) -
Rougier Jonathan,
Goldstein Michael
Publication year - 2001
Publication title -
journal of the royal statistical society: series c (applied statistics)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.205
H-Index - 72
eISSN - 1467-9876
pISSN - 0035-9254
DOI - 10.1111/1467-9876.00221
Subject(s) - line (geometry) , pipe flow , water hammer , plug flow , compressibility , partial differential equation , flow (mathematics) , pipe network analysis , fluid dynamics , mechanics , mathematics , computer science , physics , mathematical analysis , geometry , turbulence
The waterhammer equations are a pair of partial differential equations that describe the behaviour of an incompressible fluid in a pipe‐line. We generalize these equations to account for uncertainty in the description of the liquid and the pipe‐line, the behaviour of the boundaries of the pipe‐line and the method of solution. We illustrate applications of our model to pipe‐line design and to realtime pipe‐line monitoring, e.g. for detecting leaks, and discuss the general features of our approach to the careful sourcing of uncertainty in deterministic models.