Mass Imbalance Error of Waterhammer Equations and Leak Detection

[+] Author and Article Information
Chyr Pyng Liou

Department of Civil Engineering, University of Idaho, Moscow, ID 83843

J. Fluids Eng 116(1), 103-109 (Mar 01, 1994) (7 pages) doi:10.1115/1.2910216 History: Received May 08, 1992; Revised February 22, 1993; Online May 23, 2008


The waterhammer equations can be used to compute mass inventory changes for pipeline leak detection. In such applications the pipeline is monitored continuously in time and there is no clear demarcation between steady-state and transients. This paper addresses a mass imbalance error of the waterhammer equations. We establish that the net mass influx error for the waterhammer equations at the steady-state with maximum flow-rate bounds the same error during transients. A method to evaluate this bound is presented. Using petroleum products pipelines as an example, we show that the waterhammer equations are not accurate enough for leak detection in some systems.

Copyright © 1994 by The American Society of Mechanical Engineers
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