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Durham University

Department of Mathematical Sciences


Publication details for Michael Goldstein

Rougier, J.C. & Goldstein, M. (2001). A Bayesian Analysis of Fluid Flow in Pipelines. Applied statistics a journal of the Royal Statistical Society 50(1): 77-93.

Author(s) from Durham


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.