### Abstract

A survey of the developments in heat transfer studies of non-linear inelastic as well as elastic fluids in tubes is given. Experimental findings concerning heat transfer enhancement characteristics of viscoelastic aqueous polymer solutions are very significant. Specifically, it is reported that heat transfer results for viscoelastic aqueous polymer solutions are drastically higher than those found for water in laminar flow in rectangular ducts. A number of investigators suggested that the high experimental heat transfer values were due to secondary flows resulting from the elasticity of the fluids. In this context recent results concerning the fully developed thermal field in constant pressure gradient driven laminar flow of a class of viscoelastic fluids characterized by single mode, non-affine constitutive equations in straight pipes of arbitrary contour ∂D is reviewed. 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 2006 ASME International Mechanical Engineering Congress and Exposition, IMECE2006 - Fluids Engineering Division |

Publisher | American Society of Mechanical Engineers (ASME) |

ISBN (Print) | 0791837904, 9780791837900 |

DOIs | |

Publication status | Published - 2006 |

Event | 2006 ASME International Mechanical Engineering Congress and Exposition, IMECE2006 - Chicago, IL, United States Duration: Nov 5 2006 → Nov 10 2006 |

### Other

Other | 2006 ASME International Mechanical Engineering Congress and Exposition, IMECE2006 |
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Country | United States |

City | Chicago, IL |

Period | 11/5/06 → 11/10/06 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Engineering(all)

### Cite this

*Proceedings of 2006 ASME International Mechanical Engineering Congress and Exposition, IMECE2006 - Fluids Engineering Division*American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/IMECE2006-16077

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*Proceedings of 2006 ASME International Mechanical Engineering Congress and Exposition, IMECE2006 - Fluids Engineering Division.*American Society of Mechanical Engineers (ASME), 2006 ASME International Mechanical Engineering Congress and Exposition, IMECE2006, Chicago, IL, United States, 11/5/06. https://doi.org/10.1115/IMECE2006-16077

**Heat transfer in internal flows of non-linear fluids : A review.** / Siginer, Dennis A.; Letelier, Mario F.

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

TY - GEN

T1 - Heat transfer in internal flows of non-linear fluids

T2 - A review

AU - Siginer, Dennis A.

AU - Letelier, Mario F.

PY - 2006

Y1 - 2006

N2 - A survey of the developments in heat transfer studies of non-linear inelastic as well as elastic fluids in tubes is given. Experimental findings concerning heat transfer enhancement characteristics of viscoelastic aqueous polymer solutions are very significant. Specifically, it is reported that heat transfer results for viscoelastic aqueous polymer solutions are drastically higher than those found for water in laminar flow in rectangular ducts. A number of investigators suggested that the high experimental heat transfer values were due to secondary flows resulting from the elasticity of the fluids. In this context recent results concerning the fully developed thermal field in constant pressure gradient driven laminar flow of a class of viscoelastic fluids characterized by single mode, non-affine constitutive equations in straight pipes of arbitrary contour ∂D is reviewed. 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 - A survey of the developments in heat transfer studies of non-linear inelastic as well as elastic fluids in tubes is given. Experimental findings concerning heat transfer enhancement characteristics of viscoelastic aqueous polymer solutions are very significant. Specifically, it is reported that heat transfer results for viscoelastic aqueous polymer solutions are drastically higher than those found for water in laminar flow in rectangular ducts. A number of investigators suggested that the high experimental heat transfer values were due to secondary flows resulting from the elasticity of the fluids. In this context recent results concerning the fully developed thermal field in constant pressure gradient driven laminar flow of a class of viscoelastic fluids characterized by single mode, non-affine constitutive equations in straight pipes of arbitrary contour ∂D is reviewed. 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.

UR - http://www.scopus.com/inward/record.url?scp=84920630092&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84920630092&partnerID=8YFLogxK

U2 - 10.1115/IMECE2006-16077

DO - 10.1115/IMECE2006-16077

M3 - Conference contribution

SN - 0791837904

SN - 9780791837900

BT - Proceedings of 2006 ASME International Mechanical Engineering Congress and Exposition, IMECE2006 - Fluids Engineering Division

PB - American Society of Mechanical Engineers (ASME)

ER -