A solution of the graetz problem in tubes of arbitrary cross-section shape for viscoelastic fluids

Cristian H. Barrera, Mario F. Letelier, Dennis A. Siginer

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

    Abstract

    The Graetz problem is addressed for the case of steady laminar flow of non-Newtonian fluids obeying the Modified Phan-Thien-Tanner Model (MPTT) in tubes of arbitrary cross-section. The method herein presented models the velocity and temperature fields so that the corresponding non-slip and thermal boundary conditions are met at the walls of the tube for a wide range of different shapes. The main results are the general temperature distribution for different duct geometries that include the triangular and square cases as particular examples.

    Original languageEnglish
    Title of host publicationFluids Engineering Systems and Technologies
    PublisherAmerican Society of Mechanical Engineers (ASME)
    Volume7
    DOIs
    Publication statusPublished - 2014
    EventASME 2014 International Mechanical Engineering Congress and Exposition, IMECE 2014 - Montreal, Canada
    Duration: Nov 14 2014Nov 20 2014

    Other

    OtherASME 2014 International Mechanical Engineering Congress and Exposition, IMECE 2014
    CountryCanada
    CityMontreal
    Period11/14/1411/20/14

    Fingerprint

    Temperature distribution
    Fluids
    Laminar flow
    Ducts
    Boundary conditions
    Geometry
    Hot Temperature

    All Science Journal Classification (ASJC) codes

    • Mechanical Engineering

    Cite this

    Barrera, C. H., Letelier, M. F., & Siginer, D. A. (2014). A solution of the graetz problem in tubes of arbitrary cross-section shape for viscoelastic fluids. In Fluids Engineering Systems and Technologies (Vol. 7). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/IMECE2014-36245
    Barrera, Cristian H. ; Letelier, Mario F. ; Siginer, Dennis A. / A solution of the graetz problem in tubes of arbitrary cross-section shape for viscoelastic fluids. Fluids Engineering Systems and Technologies. Vol. 7 American Society of Mechanical Engineers (ASME), 2014.
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    abstract = "The Graetz problem is addressed for the case of steady laminar flow of non-Newtonian fluids obeying the Modified Phan-Thien-Tanner Model (MPTT) in tubes of arbitrary cross-section. The method herein presented models the velocity and temperature fields so that the corresponding non-slip and thermal boundary conditions are met at the walls of the tube for a wide range of different shapes. The main results are the general temperature distribution for different duct geometries that include the triangular and square cases as particular examples.",
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    Barrera, CH, Letelier, MF & Siginer, DA 2014, A solution of the graetz problem in tubes of arbitrary cross-section shape for viscoelastic fluids. in Fluids Engineering Systems and Technologies. vol. 7, American Society of Mechanical Engineers (ASME), ASME 2014 International Mechanical Engineering Congress and Exposition, IMECE 2014, Montreal, Canada, 11/14/14. https://doi.org/10.1115/IMECE2014-36245

    A solution of the graetz problem in tubes of arbitrary cross-section shape for viscoelastic fluids. / Barrera, Cristian H.; Letelier, Mario F.; Siginer, Dennis A.

    Fluids Engineering Systems and Technologies. Vol. 7 American Society of Mechanical Engineers (ASME), 2014.

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

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    N2 - The Graetz problem is addressed for the case of steady laminar flow of non-Newtonian fluids obeying the Modified Phan-Thien-Tanner Model (MPTT) in tubes of arbitrary cross-section. The method herein presented models the velocity and temperature fields so that the corresponding non-slip and thermal boundary conditions are met at the walls of the tube for a wide range of different shapes. The main results are the general temperature distribution for different duct geometries that include the triangular and square cases as particular examples.

    AB - The Graetz problem is addressed for the case of steady laminar flow of non-Newtonian fluids obeying the Modified Phan-Thien-Tanner Model (MPTT) in tubes of arbitrary cross-section. The method herein presented models the velocity and temperature fields so that the corresponding non-slip and thermal boundary conditions are met at the walls of the tube for a wide range of different shapes. The main results are the general temperature distribution for different duct geometries that include the triangular and square cases as particular examples.

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    Barrera CH, Letelier MF, Siginer DA. A solution of the graetz problem in tubes of arbitrary cross-section shape for viscoelastic fluids. In Fluids Engineering Systems and Technologies. Vol. 7. American Society of Mechanical Engineers (ASME). 2014 https://doi.org/10.1115/IMECE2014-36245