Progress in Analytical Modeling of Water Hammer
| Autor: | Marek Lubecki, Kamil Urbanowicz, Anton Bergant, Michał Stosiak, Haixiao Jing |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
ustaljeno stensko trenje
Water hammer Mechanical Engineering nestalno stensko trenje frictionless system vodni udar udc:621.22 quasi-steady friction idealni sistem analytical solution reservoir-horizontal pipeline-valve system unsteady skin friction sistem rezervoar-horizontalni cevovod-ventil analitična rešitev Shear stress transient laminar flow Geotechnical engineering water hammer prehodni laminarni tok Geology |
| Zdroj: | Journal of fluids engineering. Transactions of the ASME, vol. 145, no. 8, 081203, fe-23-1030, 2023. |
| ISSN: | 0098-2202 |
| DOI: | 10.1115/fedsm2021-65920 |
| Popis: | In this paper analytical formulas of water hammer known from the literature are simplified to the shortest possible mathematical form based on dimensionless parameters: dimensionless time, water hammer number, etc. Novel formulas are determined, for example for the flow velocity and wall shear stress in the Muto and Takahashi solution. A complete solution in the Laplace domain is presented and the problem of its inverse transformation is discussed. A series of comparative studies of analytical solutions with numerical solutions and the results of experimental research were carried out. The compared analytical solutions, taking into account the frequency-dependent nature of the hydraulic resistances, show very good agreement with the experimental results in a wide range of water hammer numbers, in particular when Wh ≤ 0.1. On the other hand, it turned out that the analytical model based on the quasi-steady friction in great detail simulates dynamic pressure response in systems characterized by a high value of the water hammer number Wh ≥ 0.5. |
| Databáze: | OpenAIRE |
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