### 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 language | English |
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Title of host publication | Proceedings of ASME Fluids Engineering Division Summer Meeting 2006, FEDSM2006 |

Pages | 1459-1466 |

Number of pages | 8 |

Volume | 1 SYPMOSIA |

DOIs | |

Publication status | Published - 2006 |

Event | 2006 2nd ASME Joint U.S.-European Fluids Engineering Summer Meeting, FEDSM 2006 - Miami, FL, United States Duration: Jul 17 2006 → Jul 20 2006 |

### Other

Other | 2006 2nd ASME Joint U.S.-European Fluids Engineering Summer Meeting, FEDSM 2006 |
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Country | United States |

City | Miami, FL |

Period | 7/17/06 → 7/20/06 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Engineering(all)

### Cite this

*Proceedings of ASME Fluids Engineering Division Summer Meeting 2006, FEDSM2006*(Vol. 1 SYPMOSIA, pp. 1459-1466) https://doi.org/10.1115/FEDSM2006-98314

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*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.

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

TY - GEN

T1 - Heat transfer in laminar tube flow of a class of non-affine viscoelastic fluids

AU - Siginer, Dennis A.

AU - Letelier, Mario F.

PY - 2006

Y1 - 2006

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.

U2 - 10.1115/FEDSM2006-98314

DO - 10.1115/FEDSM2006-98314

M3 - Conference contribution

SN - 0791847500

SN - 9780791847503

VL - 1 SYPMOSIA

SP - 1459

EP - 1466

BT - Proceedings of ASME Fluids Engineering Division Summer Meeting 2006, FEDSM2006

ER -