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    Effect of Entrance Region on Laminar Startup Flow in Pipes

    Source: Journal of Applied Mechanics:;1988:;volume( 055 ):;issue: 002::page 482
    Author:
    H. I. Andersson
    ,
    R. Kristoffersen
    DOI: 10.1115/1.3173703
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The ultimate effects of the entrance region on startup flow are considered by one-dimensional steady-state analysis. By roughly accounting for the entrance loss, semiempirical formulas for the average velocity and the hydrodynamic entrance length in terms of a startup flow parameter and an entrance effect coefficient are provided. The startup flow parameter M = gHD4 /2048v2 L2 is identified as the fundamental parameter of the problem. While Szymanski’s solution is recovered in the long pipe limit, i.e., M → 0, the steady-state volume flux through short pipes (M > 0.05) is significantly reduced due to entrance region effects.
    keyword(s): Flow (Dynamics) , Pipes , Entrance region , Steady state AND Formulas ,
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      Effect of Entrance Region on Laminar Startup Flow in Pipes

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    http://yetl.yabesh.ir/yetl1/handle/yetl/103562
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    contributor authorH. I. Andersson
    contributor authorR. Kristoffersen
    date accessioned2017-05-08T23:26:37Z
    date available2017-05-08T23:26:37Z
    date copyrightJune, 1988
    date issued1988
    identifier issn0021-8936
    identifier otherJAMCAV-26294#482_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/103562
    description abstractThe ultimate effects of the entrance region on startup flow are considered by one-dimensional steady-state analysis. By roughly accounting for the entrance loss, semiempirical formulas for the average velocity and the hydrodynamic entrance length in terms of a startup flow parameter and an entrance effect coefficient are provided. The startup flow parameter M = gHD4 /2048v2 L2 is identified as the fundamental parameter of the problem. While Szymanski’s solution is recovered in the long pipe limit, i.e., M → 0, the steady-state volume flux through short pipes (M > 0.05) is significantly reduced due to entrance region effects.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleEffect of Entrance Region on Laminar Startup Flow in Pipes
    typeJournal Paper
    journal volume55
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3173703
    journal fristpage482
    journal lastpage486
    identifier eissn1528-9036
    keywordsFlow (Dynamics)
    keywordsPipes
    keywordsEntrance region
    keywordsSteady state AND Formulas
    treeJournal of Applied Mechanics:;1988:;volume( 055 ):;issue: 002
    contenttypeFulltext
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