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Analytical Solutions of Water Hammer in Metal Pipes. Part II—Comparative Study

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Fatigue and Fracture of Materials and Structures

Part of the book series: Structural Integrity ((STIN,volume 24))

Abstract

The newly derived analytical solutions of water hammer for dynamic flow velocity and wall shear stress, as well as the previously known albeit corrected pressure solutions, have been studied in detail. Their correctness was verified with the help of comparative tests with the results obtained with the use of a numerical solution in which a model of frequency-dependent hydraulic friction was implemented. The dynamic pressure courses were compared with the results of the experimental tests. The performed comparisons showed that the analytical models based on Brown's asymptotic extension of frequency-dependent friction function are very compatible with experimental studies for small values of water hammer number Wh. Due to the fact that the majority of unsteady water flows occur for small values of Wh < 0.1, it can be concluded that the new solutions can be safely used in engineering practice (excluding wall shear stress solution), i.e., when calculating unsteady water hammer wave dependent flows occurring in water supply systems.

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Acknowledgements

Anton Bergant gratefully acknowledges the support of the Slovenian Research Agency (ARRS) conducted through the project L2-1825 and the program P2-0126.

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Authors and Affiliations

  1. Faculty of Mechanical Engineering and Mechatronics, West Pomeranian University of Technology, Szczecin, Szczecin, Poland

    Kamil Urbanowicz

  2. Litostroj Power d.o.o. (Full-Time) and Faculty of Mechanical Engineering, University of Ljubljana (Part-Time), Ljubljana, Slovenia

    Anton Bergant

  3. Faculty of Mechanical Engineering, Department of Technical Systems Operation, Wrocław University of Science and Technology, Wrocław, Poland

    Michał Stosiak & Krzysztof Towarnicki

Authors
  1. Kamil Urbanowicz
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  2. Anton Bergant
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  3. Michał Stosiak
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  4. Krzysztof Towarnicki
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Corresponding author

Correspondence to Kamil Urbanowicz .

Editor information

Editors and Affiliations

  1. Faculty of Mechanical Engineering, Wrocław University of Science and Technology, Wrocław, Poland

    Grzegorz Lesiuk

  2. Faculty of Mechanical Engineering, Wrocław University of Science and Technology, Wrocław, Poland

    Szymon Duda

  3. Faculty of Engineering, University of Porto, Porto, Portugal

    José A. F. O. Correia

  4. Faculty of Engineering, University of Porto, Porto, Portugal

    Abílio M. P. De Jesus

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Urbanowicz, K., Bergant, A., Stosiak, M., Towarnicki, K. (2022). Analytical Solutions of Water Hammer in Metal Pipes. Part II—Comparative Study. In: Lesiuk, G., Duda, S., Correia, J.A.F.O., De Jesus, A.M.P. (eds) Fatigue and Fracture of Materials and Structures. Structural Integrity, vol 24. Springer, Cham. https://doi.org/10.1007/978-3-030-97822-8_8

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  • DOI: https://doi.org/10.1007/978-3-030-97822-8_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-97821-1

  • Online ISBN: 978-3-030-97822-8

  • eBook Packages: EngineeringEngineering (R0)

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