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    The Stability of Plane Poiseuille Flow in a Finite-Length Channel

    Source: Journal of Fluids Engineering:;2022:;volume( 144 ):;issue: 005::page 51302-1
    Author:
    Xu, Lei
    ,
    Rusak, Zvi
    DOI: 10.1115/1.4052643
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The linear stability of plane Poiseuille flow through a finite-length channel is studied. A weakly divergence-free basis finite element method with streamline upwind Petrov–Galerkin (SUPG) stabilization is used to formulate the weak form of the problem. The linear stability characteristics are studied under three possible inlet–outlet boundary conditions, and the corresponding perturbation kinetic energy transfer mechanisms are investigated. Active transfer of perturbation kinetic energy at the channel inlet and outlet, energy production due to convection and dissipation at the flow bulk provide a new perspective in understanding the distinct stability characteristics of plane Poiseuille flow under various boundary conditions.
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      The Stability of Plane Poiseuille Flow in a Finite-Length Channel

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    contributor authorXu, Lei
    contributor authorRusak, Zvi
    date accessioned2022-05-08T09:10:15Z
    date available2022-05-08T09:10:15Z
    date copyright1/12/2022 12:00:00 AM
    date issued2022
    identifier issn0098-2202
    identifier otherfe_144_05_051302.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4284810
    description abstractThe linear stability of plane Poiseuille flow through a finite-length channel is studied. A weakly divergence-free basis finite element method with streamline upwind Petrov–Galerkin (SUPG) stabilization is used to formulate the weak form of the problem. The linear stability characteristics are studied under three possible inlet–outlet boundary conditions, and the corresponding perturbation kinetic energy transfer mechanisms are investigated. Active transfer of perturbation kinetic energy at the channel inlet and outlet, energy production due to convection and dissipation at the flow bulk provide a new perspective in understanding the distinct stability characteristics of plane Poiseuille flow under various boundary conditions.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleThe Stability of Plane Poiseuille Flow in a Finite-Length Channel
    typeJournal Paper
    journal volume144
    journal issue5
    journal titleJournal of Fluids Engineering
    identifier doi10.1115/1.4052643
    journal fristpage51302-1
    journal lastpage51302-10
    page10
    treeJournal of Fluids Engineering:;2022:;volume( 144 ):;issue: 005
    contenttypeFulltext
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