Heat transfer in laminar tube flow of a class of non-affine viscoelastic fluids

Dennis A. Siginer, Mario F. Letelier

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

    Abstract

    The fully developed thermal field in constant pressure gradient driven laminar flow of viscoelastic fluids in straight pipes of arbitrary contour ∂D is investigated. The nonlinear fluids considered are constitutively represented by a class of single mode, non-affine constitutive equations. The driving forces can be large and inertial effects are accounted for. Asymptotic series in terms of the Weissenberg number Wi are employed to represent the field variables. Heat transfer enhancement due to shear-thinning is identified together with the enhancement due to the inherent elasticity of the fluid. The latter is the result of secondary flows in the cross-section. Increasingly large enhancements are computed with increasing elasticity of the fluid as compared to its Newtonian counterpart. Large enhancements are possible even with dilute fluids. Isotherms for the temperature field are presented and discussed for several non-circular contours such as the ellipse and the equilateral triangle together with heat transfer behavior in terms of the Nusselt number Nu.

    Original languageEnglish
    Title of host publicationProceedings of ASME Fluids Engineering Division Summer Meeting 2006, FEDSM2006
    Pages1459-1466
    Number of pages8
    Volume1 SYPMOSIA
    DOIs
    Publication statusPublished - 2006
    Event2006 2nd ASME Joint U.S.-European Fluids Engineering Summer Meeting, FEDSM 2006 - Miami, FL, United States
    Duration: Jul 17 2006Jul 20 2006

    Other

    Other2006 2nd ASME Joint U.S.-European Fluids Engineering Summer Meeting, FEDSM 2006
    CountryUnited States
    CityMiami, FL
    Period7/17/067/20/06

    Fingerprint

    Pipe flow
    Heat transfer
    Fluids
    Elasticity
    Shear thinning
    Secondary flow
    Nusselt number
    Constitutive equations
    Pressure gradient
    Laminar flow
    Isotherms
    Temperature distribution
    Pipe

    All Science Journal Classification (ASJC) codes

    • Engineering(all)

    Cite this

    Siginer, D. A., & Letelier, M. F. (2006). Heat transfer in laminar tube flow of a class of non-affine viscoelastic fluids. In Proceedings of ASME Fluids Engineering Division Summer Meeting 2006, FEDSM2006 (Vol. 1 SYPMOSIA, pp. 1459-1466) https://doi.org/10.1115/FEDSM2006-98314
    Siginer, Dennis A. ; Letelier, Mario F. / Heat transfer in laminar tube flow of a class of non-affine viscoelastic fluids. Proceedings of ASME Fluids Engineering Division Summer Meeting 2006, FEDSM2006. Vol. 1 SYPMOSIA 2006. pp. 1459-1466
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    title = "Heat transfer in laminar tube flow of a class of non-affine viscoelastic fluids",
    abstract = "The fully developed thermal field in constant pressure gradient driven laminar flow of viscoelastic fluids in straight pipes of arbitrary contour ∂D is investigated. The nonlinear fluids considered are constitutively represented by a class of single mode, non-affine constitutive equations. The driving forces can be large and inertial effects are accounted for. Asymptotic series in terms of the Weissenberg number Wi are employed to represent the field variables. Heat transfer enhancement due to shear-thinning is identified together with the enhancement due to the inherent elasticity of the fluid. The latter is the result of secondary flows in the cross-section. Increasingly large enhancements are computed with increasing elasticity of the fluid as compared to its Newtonian counterpart. Large enhancements are possible even with dilute fluids. Isotherms for the temperature field are presented and discussed for several non-circular contours such as the ellipse and the equilateral triangle together with heat transfer behavior in terms of the Nusselt number Nu.",
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    Siginer, DA & Letelier, MF 2006, Heat transfer in laminar tube flow of a class of non-affine viscoelastic fluids. in Proceedings of ASME Fluids Engineering Division Summer Meeting 2006, FEDSM2006. vol. 1 SYPMOSIA, pp. 1459-1466, 2006 2nd ASME Joint U.S.-European Fluids Engineering Summer Meeting, FEDSM 2006, Miami, FL, United States, 7/17/06. https://doi.org/10.1115/FEDSM2006-98314

    Heat transfer in laminar tube flow of a class of non-affine viscoelastic fluids. / Siginer, Dennis A.; Letelier, Mario F.

    Proceedings of ASME Fluids Engineering Division Summer Meeting 2006, FEDSM2006. Vol. 1 SYPMOSIA 2006. p. 1459-1466.

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

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    N2 - The fully developed thermal field in constant pressure gradient driven laminar flow of viscoelastic fluids in straight pipes of arbitrary contour ∂D is investigated. The nonlinear fluids considered are constitutively represented by a class of single mode, non-affine constitutive equations. The driving forces can be large and inertial effects are accounted for. Asymptotic series in terms of the Weissenberg number Wi are employed to represent the field variables. Heat transfer enhancement due to shear-thinning is identified together with the enhancement due to the inherent elasticity of the fluid. The latter is the result of secondary flows in the cross-section. Increasingly large enhancements are computed with increasing elasticity of the fluid as compared to its Newtonian counterpart. Large enhancements are possible even with dilute fluids. Isotherms for the temperature field are presented and discussed for several non-circular contours such as the ellipse and the equilateral triangle together with heat transfer behavior in terms of the Nusselt number Nu.

    AB - The fully developed thermal field in constant pressure gradient driven laminar flow of viscoelastic fluids in straight pipes of arbitrary contour ∂D is investigated. The nonlinear fluids considered are constitutively represented by a class of single mode, non-affine constitutive equations. The driving forces can be large and inertial effects are accounted for. Asymptotic series in terms of the Weissenberg number Wi are employed to represent the field variables. Heat transfer enhancement due to shear-thinning is identified together with the enhancement due to the inherent elasticity of the fluid. The latter is the result of secondary flows in the cross-section. Increasingly large enhancements are computed with increasing elasticity of the fluid as compared to its Newtonian counterpart. Large enhancements are possible even with dilute fluids. Isotherms for the temperature field are presented and discussed for several non-circular contours such as the ellipse and the equilateral triangle together with heat transfer behavior in terms of the Nusselt number Nu.

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    Siginer DA, Letelier MF. Heat transfer in laminar tube flow of a class of non-affine viscoelastic fluids. In Proceedings of ASME Fluids Engineering Division Summer Meeting 2006, FEDSM2006. Vol. 1 SYPMOSIA. 2006. p. 1459-1466 https://doi.org/10.1115/FEDSM2006-98314