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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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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DOI: https://doi.org/10.1007/978-3-319-96601-4_35
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