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

doi:10.1115/IMECE2012-85403

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

Mechanical, Energy & Industrial Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Citations (Scopus)

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 language	English
Title of host publication	ASME 2012 International Mechanical Engineering Congress and Exposition, IMECE 2012
Pages	1017-1021
Number of pages	5
Volume	7
Edition	PARTS A, B, C, D
DOIs	https://doi.org/10.1115/IMECE2012-85403
Publication status	Published - Dec 1 2012
Event	ASME 2012 International Mechanical Engineering Congress and Exposition, IMECE 2012 - Houston, TX, United States Duration: Nov 9 2012 → Nov 15 2012

Other

Other	ASME 2012 International Mechanical Engineering Congress and Exposition, IMECE 2012
Country/Territory	United States
City	Houston, TX
Period	11/9/12 → 11/15/12

All Science Journal Classification (ASJC) codes

Mechanical Engineering

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10.1115/IMECE2012-85403

Cite this

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

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.",

author = "Letelier, {Mario F.} and Zapata, {Fernando N.} and Siginer, {Dennis A.} and Juan Stockle",

year = "2012",

month = dec,

day = "1",

doi = "10.1115/IMECE2012-85403",

language = "English",

isbn = "9780791845233",

volume = "7",

pages = "1017--1021",

booktitle = "ASME 2012 International Mechanical Engineering Congress and Exposition, IMECE 2012",

edition = "PARTS A, B, C, D",

note = "ASME 2012 International Mechanical Engineering Congress and Exposition, IMECE 2012 ; Conference date: 09-11-2012 Through 15-11-2012",

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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. et al.

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 proceeding › Conference contribution

TY - GEN

T1 - Analysis of secondary flows and heat transfer in viscoelastic flow with viscous dissipation in non-circular tubes

AU - Letelier, Mario F.

AU - Zapata, Fernando N.

AU - Siginer, Dennis A.

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N2 - 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.

AB - 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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BT - ASME 2012 International Mechanical Engineering Congress and Exposition, IMECE 2012

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

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