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

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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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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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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