Analysis of secondary flows and heat transfer in viscoelastic flow with viscous dissipation in non-circular tubes

Mario F. Letelier, Fernando N. Zapata, Dennis A. Siginer, Juan Stockle

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

Abstract

The steady laminar non-isothermal flow of a non-linear viscoelastic fluid in tubes or arbitrary contour is analyzed under constant wall heat flux. Viscous dissipation is taken into account. Non-linear viscoelastic behavior is modeled by means of the Phan-Thien-Tanner model. The equations of motion and energy are solved analytically through a perturbation approach coupled with a one-To-one mapping of the boundary to map the circular shape into various axially symmetric cross-sectional shapes with the Weissenberg number as the perturbation parameter Longitudinal and transversal velocity components are determined for several cross-sectional shapes, for which the temperature field and the Nusselt number variation with the Prandtl, Brinkman and Reynolds numbers are computed.

Original languageEnglish
Title of host publicationASME 2012 International Mechanical Engineering Congress and Exposition, IMECE 2012
Pages1017-1021
Number of pages5
Volume7
EditionPARTS A, B, C, D
DOIs
Publication statusPublished - Dec 1 2012
EventASME 2012 International Mechanical Engineering Congress and Exposition, IMECE 2012 - Houston, TX, United States
Duration: Nov 9 2012Nov 15 2012

Other

OtherASME 2012 International Mechanical Engineering Congress and Exposition, IMECE 2012
CountryUnited States
CityHouston, TX
Period11/9/1211/15/12

Fingerprint

Secondary flow
Prandtl number
Nusselt number
Equations of motion
Heat flux
Temperature distribution
Reynolds number
Heat transfer
Fluids

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

Cite this

Letelier, M. F., Zapata, F. N., Siginer, D. A., & Stockle, J. (2012). Analysis of secondary flows and heat transfer in viscoelastic flow with viscous dissipation in non-circular tubes. In ASME 2012 International Mechanical Engineering Congress and Exposition, IMECE 2012 (PARTS A, B, C, D ed., Vol. 7, pp. 1017-1021) https://doi.org/10.1115/IMECE2012-85403
Letelier, Mario F. ; Zapata, Fernando N. ; Siginer, Dennis A. ; Stockle, Juan. / Analysis of secondary flows and heat transfer in viscoelastic flow with viscous dissipation in non-circular tubes. ASME 2012 International Mechanical Engineering Congress and Exposition, IMECE 2012. Vol. 7 PARTS A, B, C, D. ed. 2012. pp. 1017-1021
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abstract = "The steady laminar non-isothermal flow of a non-linear viscoelastic fluid in tubes or arbitrary contour is analyzed under constant wall heat flux. Viscous dissipation is taken into account. Non-linear viscoelastic behavior is modeled by means of the Phan-Thien-Tanner model. The equations of motion and energy are solved analytically through a perturbation approach coupled with a one-To-one mapping of the boundary to map the circular shape into various axially symmetric cross-sectional shapes with the Weissenberg number as the perturbation parameter Longitudinal and transversal velocity components are determined for several cross-sectional shapes, for which the temperature field and the Nusselt number variation with the Prandtl, Brinkman and Reynolds numbers are computed.",
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Letelier, MF, Zapata, FN, Siginer, DA & Stockle, J 2012, Analysis of secondary flows and heat transfer in viscoelastic flow with viscous dissipation in non-circular tubes. in ASME 2012 International Mechanical Engineering Congress and Exposition, IMECE 2012. PARTS A, B, C, D edn, vol. 7, pp. 1017-1021, ASME 2012 International Mechanical Engineering Congress and Exposition, IMECE 2012, Houston, TX, United States, 11/9/12. https://doi.org/10.1115/IMECE2012-85403

Analysis of secondary flows and heat transfer in viscoelastic flow with viscous dissipation in non-circular tubes. / Letelier, Mario F.; Zapata, Fernando N.; Siginer, Dennis A.; Stockle, Juan.

ASME 2012 International Mechanical Engineering Congress and Exposition, IMECE 2012. Vol. 7 PARTS A, B, C, D. ed. 2012. p. 1017-1021.

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

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Letelier MF, Zapata FN, Siginer DA, Stockle J. Analysis of secondary flows and heat transfer in viscoelastic flow with viscous dissipation in non-circular tubes. In ASME 2012 International Mechanical Engineering Congress and Exposition, IMECE 2012. PARTS A, B, C, D ed. Vol. 7. 2012. p. 1017-1021 https://doi.org/10.1115/IMECE2012-85403