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    Stability of Poiseuille Flow in Elastic Tubes

    Source: Journal of Applied Mechanics:;1977:;volume( 044 ):;issue: 001::page 18
    Author:
    W. Midvidy
    ,
    W. T. Rouleau
    DOI: 10.1115/1.3424005
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper presents a theoretical analysis of the temporal and spatial stability of Poiseuille flow in elastic tubes to infinitesimal axisymmetric disturbances. A cylindrical shell model which includes the effects of transverse shear and rotatory inertia is employed for the tube wall. The characteristic equation of the system is solved numerically and two sets of modes are obtained; one set has eigenvalues that are independent of the properties and dimensions of the tube wall, while the other set has eigenvalues that depend on the tube parameters. One mode of the “tube-dependent” set is shown to have a critical Reynolds number that depends on the elastic properties and dimensions of the tube and either wave number or frequency of the disturbance.
    keyword(s): Stability , Poiseuille flow , Eigenvalues , Dimensions , Reynolds number , Waves , Shear (Mechanics) , Pipes , Equations , Elasticity , Theoretical analysis AND Inertia (Mechanics) ,
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      Stability of Poiseuille Flow in Elastic Tubes

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    http://yetl.yabesh.ir/yetl1/handle/yetl/89585
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    contributor authorW. Midvidy
    contributor authorW. T. Rouleau
    date accessioned2017-05-08T23:02:24Z
    date available2017-05-08T23:02:24Z
    date copyrightMarch, 1977
    date issued1977
    identifier issn0021-8936
    identifier otherJAMCAV-26068#18_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/89585
    description abstractThis paper presents a theoretical analysis of the temporal and spatial stability of Poiseuille flow in elastic tubes to infinitesimal axisymmetric disturbances. A cylindrical shell model which includes the effects of transverse shear and rotatory inertia is employed for the tube wall. The characteristic equation of the system is solved numerically and two sets of modes are obtained; one set has eigenvalues that are independent of the properties and dimensions of the tube wall, while the other set has eigenvalues that depend on the tube parameters. One mode of the “tube-dependent” set is shown to have a critical Reynolds number that depends on the elastic properties and dimensions of the tube and either wave number or frequency of the disturbance.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleStability of Poiseuille Flow in Elastic Tubes
    typeJournal Paper
    journal volume44
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3424005
    journal fristpage18
    journal lastpage24
    identifier eissn1528-9036
    keywordsStability
    keywordsPoiseuille flow
    keywordsEigenvalues
    keywordsDimensions
    keywordsReynolds number
    keywordsWaves
    keywordsShear (Mechanics)
    keywordsPipes
    keywordsEquations
    keywordsElasticity
    keywordsTheoretical analysis AND Inertia (Mechanics)
    treeJournal of Applied Mechanics:;1977:;volume( 044 ):;issue: 001
    contenttypeFulltext
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