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    Progress in Analytical Modeling of Water Hammer

    Source: Journal of Fluids Engineering:;2023:;volume( 145 ):;issue: 008::page 81203-1
    Author:
    Urbanowicz, Kamil
    ,
    Jing, Haixiao
    ,
    Bergant, Anton
    ,
    Stosiak, Michał
    ,
    Lubecki, Marek
    DOI: 10.1115/1.4062290
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Analytical formulas for laminar water hammer in horizontal pipes were extended and simplified into a compact mathematical form based on dimensionless parameters: dimensionless time, water hammer number, etc. Detailed treatment of turbulent water hammer analytical solutions is beyond the scope of this paper. In the Muto and Takahashi solution, novel Laplace and time domain formulas for flow velocity and wall shear stress were developed. A series of comparative studies of unified analytical solutions with numerical solutions and the results of measurements were carried out. The study shows that models that account for the frequency-dependent nature of hydraulic resistance agree very well with experimental results over a wide range of water hammer numbers Wh, particularly when Wh ≤ 0.1.
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      Progress in Analytical Modeling of Water Hammer

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/4294241
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    contributor authorUrbanowicz, Kamil
    contributor authorJing, Haixiao
    contributor authorBergant, Anton
    contributor authorStosiak, Michał
    contributor authorLubecki, Marek
    date accessioned2023-11-29T18:35:21Z
    date available2023-11-29T18:35:21Z
    date copyright4/26/2023 12:00:00 AM
    date issued4/26/2023 12:00:00 AM
    date issued2023-04-26
    identifier issn0098-2202
    identifier otherfe_145_08_081203.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4294241
    description abstractAnalytical formulas for laminar water hammer in horizontal pipes were extended and simplified into a compact mathematical form based on dimensionless parameters: dimensionless time, water hammer number, etc. Detailed treatment of turbulent water hammer analytical solutions is beyond the scope of this paper. In the Muto and Takahashi solution, novel Laplace and time domain formulas for flow velocity and wall shear stress were developed. A series of comparative studies of unified analytical solutions with numerical solutions and the results of measurements were carried out. The study shows that models that account for the frequency-dependent nature of hydraulic resistance agree very well with experimental results over a wide range of water hammer numbers Wh, particularly when Wh ≤ 0.1.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleProgress in Analytical Modeling of Water Hammer
    typeJournal Paper
    journal volume145
    journal issue8
    journal titleJournal of Fluids Engineering
    identifier doi10.1115/1.4062290
    journal fristpage81203-1
    journal lastpage81203-12
    page12
    treeJournal of Fluids Engineering:;2023:;volume( 145 ):;issue: 008
    contenttypeFulltext
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