### Abstract

Original language | English |
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Number of pages | 9 |

Journal | Nordic Rheology Society Annual Transactions |

Publication status | Published - 2005 |

Event | 4th Pacific Rim Conference on Rheology - Shanghai, China Duration: Aug 7 2005 → Aug 11 2005 |

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**Heat Transfer in Laminar Flow of Viscoelastic Fluids in Straight Tubes of Arbitrary Shape.** / Siginer, Dennis A.; Letelier, Mario F.

Research output: Contribution to journal › Article

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 -