Heat transfer in steady viscoelastic flow in pipes of complex shapes

Mario F. Letelier, Alejandro Mardoñez, Dennis A. Siginer

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    An analysis of heat transfer in pipe-flow is presented for the cases in which viscoelastic properties of the fluid induce secondary flows in no-circular tubes, thus enhancing the tranversal transport capacity of the flow. It is used the Phan-Thien-Tanner (PTT) viscoelastic model, and the flow is assumed steady and laminar. The velocity field is first determined through a technique previously developed by the authors, and the energy equation is solved afterward for the temperature field for conditions of constant wall temperature and constant longitudinal temperature gradient. Perturbation analysis is applied around the relaxation time as parameter, where from all orders of velocity and temperature are analytically found up to third order. Plots of results for triangular and square tubes are presented, followed by a discussion of the relevant findings related to interactions among the main variables generated by viscoelastic fluid behaviour.

    Original languageEnglish
    Title of host publicationFluids Engineering
    PublisherAmerican Society of Mechanical Engineers (ASME)
    Pages283-289
    Number of pages7
    ISBN (Print)0791836576, 9780791836576
    DOIs
    Publication statusPublished - 2002

    Fingerprint

    Steady flow
    Pipe
    Heat transfer
    Fluids
    Secondary flow
    Pipe flow
    Relaxation time
    Thermal gradients
    Temperature distribution
    Temperature

    All Science Journal Classification (ASJC) codes

    • Mechanical Engineering

    Cite this

    Letelier, M. F., Mardoñez, A., & Siginer, D. A. (2002). Heat transfer in steady viscoelastic flow in pipes of complex shapes. In Fluids Engineering (pp. 283-289). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/IMECE2002-32232
    Letelier, Mario F. ; Mardoñez, Alejandro ; Siginer, Dennis A. / Heat transfer in steady viscoelastic flow in pipes of complex shapes. Fluids Engineering. American Society of Mechanical Engineers (ASME), 2002. pp. 283-289
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    Letelier, MF, Mardoñez, A & Siginer, DA 2002, Heat transfer in steady viscoelastic flow in pipes of complex shapes. in Fluids Engineering. American Society of Mechanical Engineers (ASME), pp. 283-289. https://doi.org/10.1115/IMECE2002-32232

    Heat transfer in steady viscoelastic flow in pipes of complex shapes. / Letelier, Mario F.; Mardoñez, Alejandro; Siginer, Dennis A.

    Fluids Engineering. American Society of Mechanical Engineers (ASME), 2002. p. 283-289.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

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    AB - An analysis of heat transfer in pipe-flow is presented for the cases in which viscoelastic properties of the fluid induce secondary flows in no-circular tubes, thus enhancing the tranversal transport capacity of the flow. It is used the Phan-Thien-Tanner (PTT) viscoelastic model, and the flow is assumed steady and laminar. The velocity field is first determined through a technique previously developed by the authors, and the energy equation is solved afterward for the temperature field for conditions of constant wall temperature and constant longitudinal temperature gradient. Perturbation analysis is applied around the relaxation time as parameter, where from all orders of velocity and temperature are analytically found up to third order. Plots of results for triangular and square tubes are presented, followed by a discussion of the relevant findings related to interactions among the main variables generated by viscoelastic fluid behaviour.

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    Letelier MF, Mardoñez A, Siginer DA. Heat transfer in steady viscoelastic flow in pipes of complex shapes. In Fluids Engineering. American Society of Mechanical Engineers (ASME). 2002. p. 283-289 https://doi.org/10.1115/IMECE2002-32232