Secondary flows of a viscoelastic fluid in pipes of complex cross-section shapes

Dennis A. Siginer, Mario F. Letelier

    Research output: Contribution to journalArticle

    1 Citation (Scopus)

    Abstract

    The transversal flow field in pipes of non-circular cross-section shapes is determined for a Green-Rivlin fluid. An analytical approach is presented, which is applicable to unsteady flows driven by small amplitude pressure gradients. Both the longitudinal flow velocity and secondary velocity components are found by prescribing a pipe contour through a shape factor conveniently defined. Secondary flow patterns are computed for several pipe shapes. Results are presented herein for the specific cases where the shape factor prescribes tube cross-section of approximately triangular, square and pentagonal shapes.

    Original languageEnglish
    Pages (from-to)47-51
    Number of pages5
    JournalAmerican Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED
    Volume246
    Publication statusPublished - 1998

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    Secondary flow
    Pipe
    Fluids
    Unsteady flow
    Pressure gradient
    Flow velocity
    Flow patterns
    Flow fields

    All Science Journal Classification (ASJC) codes

    • Engineering(all)

    Cite this

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    abstract = "The transversal flow field in pipes of non-circular cross-section shapes is determined for a Green-Rivlin fluid. An analytical approach is presented, which is applicable to unsteady flows driven by small amplitude pressure gradients. Both the longitudinal flow velocity and secondary velocity components are found by prescribing a pipe contour through a shape factor conveniently defined. Secondary flow patterns are computed for several pipe shapes. Results are presented herein for the specific cases where the shape factor prescribes tube cross-section of approximately triangular, square and pentagonal shapes.",
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    AB - The transversal flow field in pipes of non-circular cross-section shapes is determined for a Green-Rivlin fluid. An analytical approach is presented, which is applicable to unsteady flows driven by small amplitude pressure gradients. Both the longitudinal flow velocity and secondary velocity components are found by prescribing a pipe contour through a shape factor conveniently defined. Secondary flow patterns are computed for several pipe shapes. Results are presented herein for the specific cases where the shape factor prescribes tube cross-section of approximately triangular, square and pentagonal shapes.

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