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    Analytical Solution of Simplified Surge Flow Equations

    Source: Journal of Irrigation and Drainage Engineering:;1987:;Volume ( 113 ):;issue: 004
    Author:
    Gerd H. Schmitz
    ,
    Günther J. Sens
    DOI: 10.1061/(ASCE)0733-9437(1987)113:4(605)
    Publisher: American Society of Civil Engineers
    Abstract: The approximate theory of G. B. Witham, proposed in 1955, is often used to initialize numerical computation of border irrigation or a dam-break flood. However, this study shows that the main assumption of a uniform velocity profile is inconsistent with the law of mass conservation. Therefore that assumption is no longer employed in the development of the analytical solution of the continuity equation and a simplified momentum equation. The solution turns out to be a rather simple but powerful formula which can replace the more approximate solution of Witham without any increase of computational effort, but with a substantial gain of reliability.
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      Analytical Solution of Simplified Surge Flow Equations

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    https://yetl.yabesh.ir/yetl1/handle/yetl/26926
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    contributor authorGerd H. Schmitz
    contributor authorGünther J. Sens
    date accessioned2017-05-08T20:46:50Z
    date available2017-05-08T20:46:50Z
    date copyrightNovember 1987
    date issued1987
    identifier other%28asce%290733-9437%281987%29113%3A4%28605%29.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/26926
    description abstractThe approximate theory of G. B. Witham, proposed in 1955, is often used to initialize numerical computation of border irrigation or a dam-break flood. However, this study shows that the main assumption of a uniform velocity profile is inconsistent with the law of mass conservation. Therefore that assumption is no longer employed in the development of the analytical solution of the continuity equation and a simplified momentum equation. The solution turns out to be a rather simple but powerful formula which can replace the more approximate solution of Witham without any increase of computational effort, but with a substantial gain of reliability.
    publisherAmerican Society of Civil Engineers
    titleAnalytical Solution of Simplified Surge Flow Equations
    typeJournal Paper
    journal volume113
    journal issue4
    journal titleJournal of Irrigation and Drainage Engineering
    identifier doi10.1061/(ASCE)0733-9437(1987)113:4(605)
    treeJournal of Irrigation and Drainage Engineering:;1987:;Volume ( 113 ):;issue: 004
    contenttypeFulltext
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