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Dynamical Systems Theory and Applications

DSTA 2017: Dynamical Systems in Applications pp 385–399Cite as

Modelling Water Hammer with Quasi-Steady and Unsteady Friction in Viscoelastic Pipelines

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 249))

Abstract

The model of water hammer in viscoelastic pipelines was considered. Additional term describing the retarded deformation of the pipe wall was added to continuity equation. System of partial differential equations describing this type of flow was analyzed using the method of characteristics and finite difference method. To determine the unsteady wall shear stress, a new effective method of solution which corresponds to Zielke (laminar flow) and Vardy-Brown (turbulent flow) models were used. The convolution integral of local pressure history and derivative from the material creep function is found similarly to the efficient Zielke convolution solution presented by Schohl. The research was carried out with the assumption of a quasi-steady and unsteady character of resistance. The comparison of numerical simulation and experimental results was presented.

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Authors and Affiliations

  1. Department of Mechanical Engineering and Mechatronics, West Pomeranian University of Technology Szczecin, Piastów 19, Szczecin, 70-310, Poland

    Kamil Urbanowicz & Mateusz Firkowski

Authors
  1. Kamil Urbanowicz
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  2. Mateusz Firkowski
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Correspondence to Mateusz Firkowski .

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Editors and Affiliations

  1. Dept. of Autom., Biomech. and Mechatr., Łódź University of Technology Dept. of Autom., Biomech. and Mechatr., Lodz, Poland

    Jan Awrejcewicz

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Urbanowicz, K., Firkowski, M. (2018). Modelling Water Hammer with Quasi-Steady and Unsteady Friction in Viscoelastic Pipelines. In: Awrejcewicz, J. (eds) Dynamical Systems in Applications. DSTA 2017. Springer Proceedings in Mathematics & Statistics, vol 249. Springer, Cham. https://doi.org/10.1007/978-3-319-96601-4_35

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