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    Integrability of Velocity Constraints Modeling Vortex Shedding in Ideal Fluids

    Source: Journal of Computational and Nonlinear Dynamics:;2017:;volume( 012 ):;issue: 002::page 21008
    Author:
    Tallapragada, Phanindra
    ,
    David Kelly, Scott
    DOI: 10.1115/1.4034862
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A mathematical model that invokes the Kutta condition to account for vortex shedding from the trailing edge of a free hydrofoil in a planar ideal fluid is compared with a canonical model for the dynamics of a terrestrial vehicle subject to a nonintegrable velocity constraint. The Kutta condition is shown to be nonintegrable in a sense that parallels that in which the constraint on the terrestrial vehicle is nonintegrable. Simulations of the two systems' dynamics reinforce the analogy between the two.
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      Integrability of Velocity Constraints Modeling Vortex Shedding in Ideal Fluids

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    contributor authorTallapragada, Phanindra
    contributor authorDavid Kelly, Scott
    date accessioned2017-11-25T07:20:19Z
    date available2017-11-25T07:20:19Z
    date copyright2016/2/12
    date issued2017
    identifier issn1555-1415
    identifier othercnd_012_02_021008.pdf
    identifier urihttp://138.201.223.254:8080/yetl1/handle/yetl/4236372
    description abstractA mathematical model that invokes the Kutta condition to account for vortex shedding from the trailing edge of a free hydrofoil in a planar ideal fluid is compared with a canonical model for the dynamics of a terrestrial vehicle subject to a nonintegrable velocity constraint. The Kutta condition is shown to be nonintegrable in a sense that parallels that in which the constraint on the terrestrial vehicle is nonintegrable. Simulations of the two systems' dynamics reinforce the analogy between the two.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleIntegrability of Velocity Constraints Modeling Vortex Shedding in Ideal Fluids
    typeJournal Paper
    journal volume12
    journal issue2
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.4034862
    journal fristpage21008
    journal lastpage021008-7
    treeJournal of Computational and Nonlinear Dynamics:;2017:;volume( 012 ):;issue: 002
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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