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    Transient Stokes Flow in a Channel Driven by Moving Sleeves

    Source: Journal of Applied Mechanics:;1990:;volume( 057 ):;issue: 004::page 1061
    Author:
    P. Carbonaro
    ,
    Erik B. Hansen
    DOI: 10.1115/1.2897626
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A two-dimensional, nonstationary Stokes flow in an infinite channel with plane, parallel walls is considered. The flow is driven by two sleeves forming parts of the walls and moving with a constant velocity starting at t = 0. The exact Laplace transform of the stream function is determined and an approximate inversion, valid for t small, is performed. The resulting approximate formula for the stream function is used to study numerically the nonstationary flow as it approaches the stationary state in which an infinite system of Moffatt eddies is fully developed. The results are presented as a series of streamline plots.
    keyword(s): Channels (Hydraulic engineering) , Creeping flow , Flow (Dynamics) , Formulas , Laplace transforms AND Eddies (Fluid dynamics) ,
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      Transient Stokes Flow in a Channel Driven by Moving Sleeves

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    https://yetl.yabesh.ir/yetl1/handle/yetl/106373
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    contributor authorP. Carbonaro
    contributor authorErik B. Hansen
    date accessioned2017-05-08T23:31:41Z
    date available2017-05-08T23:31:41Z
    date copyrightDecember, 1990
    date issued1990
    identifier issn0021-8936
    identifier otherJAMCAV-26328#1061_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/106373
    description abstractA two-dimensional, nonstationary Stokes flow in an infinite channel with plane, parallel walls is considered. The flow is driven by two sleeves forming parts of the walls and moving with a constant velocity starting at t = 0. The exact Laplace transform of the stream function is determined and an approximate inversion, valid for t small, is performed. The resulting approximate formula for the stream function is used to study numerically the nonstationary flow as it approaches the stationary state in which an infinite system of Moffatt eddies is fully developed. The results are presented as a series of streamline plots.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleTransient Stokes Flow in a Channel Driven by Moving Sleeves
    typeJournal Paper
    journal volume57
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2897626
    journal fristpage1061
    journal lastpage1065
    identifier eissn1528-9036
    keywordsChannels (Hydraulic engineering)
    keywordsCreeping flow
    keywordsFlow (Dynamics)
    keywordsFormulas
    keywordsLaplace transforms AND Eddies (Fluid dynamics)
    treeJournal of Applied Mechanics:;1990:;volume( 057 ):;issue: 004
    contenttypeFulltext
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