Multiple scales analysis of water hammer attenuation

Authors:
S. Y. Han, D. Hansen and G. Kember

Journal:
Quart. Appl. Math. **69** (2011), 677-690

MSC (2000):
Primary 76M99; Secondary 76M45

Published electronically:
July 7, 2011

MathSciNet review:
2893995

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Abstract: A multiple scales analysis is used to construct a uniformly accurate approximation to water hammer pressure wave attenuation that is initiated by a sudden valve opening. The method of analysis is well suited to the study of a water hammer that possesses several time scales and is applied to a mild generalization of the classical equations. It should prove useful for finding attenuation curves when effects such as unsteady friction and fluid-structure interaction are added. The analytical results are numerically verified using the method of characteristics.

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Additional Information

**S. Y. Han**

Affiliation:
Worley-Parsons Canada, 400-10201 Southport Rd. SW, Calgary, Alberta, Canada, T2W 4X9

Email:
Sang-Yoon.Han@WorleyParsons.com

**D. Hansen**

Affiliation:
Department of Civil and Resource Engineering, Dalhousie University, 1360 Barrington St., Halifax, NS, Canada, B3J 1Z1

Email:
David.Hansen@dal.ca

**G. Kember**

Affiliation:
Department of Engineering Mathematics, Dalhousie University, 1340 Barrington St., Halifax, NS, Canada, B3J 1Y9

Email:
Guy.Kember@dal.ca

DOI:
https://doi.org/10.1090/S0033-569X-2011-01258-9

Received by editor(s):
March 2, 2010

Published electronically:
July 7, 2011

Article copyright:
© Copyright 2011
Brown University

The copyright for this article reverts to public domain 28 years after publication.