Heat Transfer in Laminar Flow of Viscoelastic Fluids in Straight Tubes of Arbitrary Shape

Dennis A. Siginer, Mario F. Letelier

Research output: Contribution to journalArticle

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
Number of pages9
JournalNordic Rheology Society Annual Transactions
Publication statusPublished - 2005
Event4th Pacific Rim Conference on Rheology - Shanghai, China
Duration: Aug 7 2005Aug 11 2005

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laminar flow
heat transfer
tubes
fluids
augmentation
elastic properties
asymptotic series
secondary flow
shear thinning
constitutive equations
ellipses
Nusselt number
pressure gradients
triangles
isotherms
temperature distribution
cross sections

Cite this

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title = "Heat Transfer in Laminar Flow of Viscoelastic Fluids in Straight Tubes of Arbitrary Shape",
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.",
author = "Siginer, {Dennis A.} and Letelier, {Mario F.}",
year = "2005",
language = "English",
journal = "Nordic Rheology Society Annual Transactions",
issn = "1601-4057",

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TY - JOUR

T1 - Heat Transfer in Laminar Flow of Viscoelastic Fluids in Straight Tubes of Arbitrary Shape

AU - Siginer, Dennis A.

AU - Letelier, Mario F.

PY - 2005

Y1 - 2005

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.

M3 - Article

JO - Nordic Rheology Society Annual Transactions

JF - Nordic Rheology Society Annual Transactions

SN - 1601-4057

ER -