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Parameters affecting water-hammer wave attenuation, shape and timing. Part 1: Mathematical tools

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dc.contributor.authorBergant, A.
dc.contributor.authorTijsseling, A.
dc.contributor.authorVitkovsky, J.
dc.contributor.authorCovas, D.
dc.contributor.authorSimpson, A.
dc.contributor.authorLambert, M.
dc.date.issued2008
dc.description.abstractThis two-part paper investigates key parameters that may affect the pressurewaveform predicted by the classical theory ofwater-hammer. Shortcomings in the prediction of pressure wave attenuation, shape and timing originate from violation of assumptions made in the derivation of the classical waterhammer equations. Possible mechanisms that may significantly affect pressure waveforms include unsteady friction, cavitation (including column separation and trapped air pockets), a number of fluid-structure interaction (FSI) effects, viscoelastic behaviour of the pipe-wall material, leakages and blockages. Engineers should be able to identify and evaluate the influence of these mechanisms, because first these are usually not included in standard water-hammer software packages and second these are often “hidden” in practical systems. Part 1 of the two-part paper describes mathematical tools for modelling the aforementioned mechanisms. The method of characteristics transformation of the classical water-hammer equations is used herein as the basic solution tool. In separate additions: a convolution-based unsteady friction model is explicitly incorporated; discrete vapour and gas cavity models allow cavities to form at computational sections; coupled extended water-hammer and steel-hammer equations describe FSI; viscoelastic behaviour of the pipe-wall material is governed by a generalised Kelvin-Voigt model; and blockages and leakages are modelled as end or internal boundary conditions
dc.description.statementofresponsibilityAnton Bergant; Arris S. Tijsseling; John P. Vtkovsk; Ddia I. C. Covas; Angus R. Simpson; Martin F. Lambert
dc.identifier.citationJournal of Hydraulic Research, 2008; 46(3):373-381
dc.identifier.doi10.3826/jhr.2008.2848
dc.identifier.issn0022-1686
dc.identifier.issn1814-2079
dc.identifier.orcidSimpson, A. [0000-0003-1633-0111]
dc.identifier.orcidLambert, M. [0000-0001-8272-6697]
dc.identifier.urihttp://hdl.handle.net/2440/61631
dc.language.isoen
dc.publisherTaylor & Francis
dc.relation.isreplacedby2440/90506
dc.relation.isreplacedbyhttp://hdl.handle.net/2440/90506
dc.rights© 2008 International Association of Hydraulic Engineering and Research
dc.source.urihttps://doi.org/10.3826/jhr.2008.2848
dc.subjectAir pocket
dc.subjectblockage
dc.subjectcavitation
dc.subjectcolumn separation
dc.subjectfluid-structure interaction
dc.subjectleakage
dc.subjectunsteady friction
dc.subjectviscoelastic behaviour of the pipe-wall
dc.subjectwater hammer
dc.titleParameters affecting water-hammer wave attenuation, shape and timing. Part 1: Mathematical tools
dc.typeJournal article
pubs.publication-statusPublished

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