Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Analysis of water hammer attenuation in the Brunone model of unsteady friction


Authors: E. Yao, G. Kember and D. Hansen
Journal: Quart. Appl. Math. 72 (2014), 281-290
MSC (2010): Primary 74G10, 93C70
Published electronically: February 10, 2014
MathSciNet review: 3186237
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Abstract: A multiple-scales asymptotic analysis is used to describe the attenuation of a water hammer pressure wave in the Brunone model of unsteady friction. The method is applied to water hammer caused by sudden valve closure in water reservoir pipelines. The analytical results explain the parametric dependence of the Brunone unsteady friction pressure-wave attenuation. It is also found that viscous head in an extended steady friction model may provide an alternative to the unsteady friction basis for increased attenuation in cases where the attenuation has a weak spatial dependence and is primarily time-dependent. All results are numerically verified using the method of characteristics.


References [Enhancements On Off] (What's this?)

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Additional Information

E. Yao
Affiliation: Department of Engineering Mathematics, Dalhousie University, 1340 Barrington St., Halifax, NS, Canada, B3J 1B7
Email: Edward.Yao@dal.ca

G. Kember
Affiliation: Department of Engineering Mathematics, Dalhousie University, 1340 Barrington St., Halifax, NS, Canada, B3J 1B7
Email: Guy.Kember@dal.ca

D. Hansen
Affiliation: Department of Civil and Resource Engineering, Dalhousie University, 1360 Barrington St., Halifax, NS, Canada, B3H 4R2
Email: David.Hansen@dal.ca

DOI: https://doi.org/10.1090/S0033-569X-2014-01354-6
Received by editor(s): June 18, 2012
Published electronically: February 10, 2014
Article copyright: © Copyright 2014 Brown University
The copyright for this article reverts to public domain 28 years after publication.


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