Oscillatory viscoelastic flow in rectangular tubes

Mario F. Letelier, Dennis A. Siginer

    Research output: Contribution to journalArticle

    1 Citation (Scopus)

    Abstract

    The longitudinal flow of a Green-Rivlin fluid in rectangular ducts subject to a small pressure gradient is investigated. An exact solution of the momentum equation is developed. The velocity field is computed for several aspect ratios and for several values of the fluid parameters. The elasticity of the fluid is shown to create complex patterns of flow, as depicted by the instantaneous isovels of the flow. The flow patterns depend mainly on the viscosity index of the fluid, the aspect ratio of the tube and of the selected iinstant of time. These results are useful for understanding both the intrinsic axial flow behavior, and related phenomena such as mass and heat transfer, and secondary flows in the case of fluids best described by constitutive models of the multiple-integral type.

    Original languageEnglish
    Pages (from-to)19-26
    Number of pages8
    JournalAmerican Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED
    Volume246
    Publication statusPublished - 1998

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    Fluids
    Aspect ratio
    Axial flow
    Secondary flow
    Constitutive models
    Pressure gradient
    Flow patterns
    Ducts
    Elasticity
    Momentum
    Mass transfer
    Viscosity
    Heat transfer

    All Science Journal Classification (ASJC) codes

    • Engineering(all)

    Cite this

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    abstract = "The longitudinal flow of a Green-Rivlin fluid in rectangular ducts subject to a small pressure gradient is investigated. An exact solution of the momentum equation is developed. The velocity field is computed for several aspect ratios and for several values of the fluid parameters. The elasticity of the fluid is shown to create complex patterns of flow, as depicted by the instantaneous isovels of the flow. The flow patterns depend mainly on the viscosity index of the fluid, the aspect ratio of the tube and of the selected iinstant of time. These results are useful for understanding both the intrinsic axial flow behavior, and related phenomena such as mass and heat transfer, and secondary flows in the case of fluids best described by constitutive models of the multiple-integral type.",
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    T1 - Oscillatory viscoelastic flow in rectangular tubes

    AU - Letelier, Mario F.

    AU - Siginer, Dennis A.

    PY - 1998

    Y1 - 1998

    N2 - The longitudinal flow of a Green-Rivlin fluid in rectangular ducts subject to a small pressure gradient is investigated. An exact solution of the momentum equation is developed. The velocity field is computed for several aspect ratios and for several values of the fluid parameters. The elasticity of the fluid is shown to create complex patterns of flow, as depicted by the instantaneous isovels of the flow. The flow patterns depend mainly on the viscosity index of the fluid, the aspect ratio of the tube and of the selected iinstant of time. These results are useful for understanding both the intrinsic axial flow behavior, and related phenomena such as mass and heat transfer, and secondary flows in the case of fluids best described by constitutive models of the multiple-integral type.

    AB - The longitudinal flow of a Green-Rivlin fluid in rectangular ducts subject to a small pressure gradient is investigated. An exact solution of the momentum equation is developed. The velocity field is computed for several aspect ratios and for several values of the fluid parameters. The elasticity of the fluid is shown to create complex patterns of flow, as depicted by the instantaneous isovels of the flow. The flow patterns depend mainly on the viscosity index of the fluid, the aspect ratio of the tube and of the selected iinstant of time. These results are useful for understanding both the intrinsic axial flow behavior, and related phenomena such as mass and heat transfer, and secondary flows in the case of fluids best described by constitutive models of the multiple-integral type.

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    VL - 246

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    EP - 26

    JO - American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED

    JF - American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED

    SN - 0888-8116

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