### Abstract

For the nonisothermal flow of a viscoelastic fluid we have taken into account temperature dependency of the relaxation times and the viscosities in the constitutive equation for the
stress. In the energy equation the heat flux is specified by Fourier's law, where anisotropic heat conduction has been taken into account. Furthermore one has to specify which part of the stress work is dissipated and which part is stored as elastic energy. The equations are solved with a finite element method for the balance equations and a streamline integration method for the constitutive equation. The influence of the Deborah number, the Péclet number and the cooling temperature are examined in a flow through a 4 to 1 contraction.

Original language | English |
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Title of host publication | IUTAM Symposium on Numerical Simulation of Non-Isothermal Flow of Viscoelastic Liquids : Proceedings of an IUTAM Symposium held in Kerkrade, the Netherlands, 1--3 November 1993 |

Editors | J.F. Dijksman, G.D.C. Kuiken |

Place of Publication | Dordrecht |

Publisher | Kluwer |

Number of pages | 212 |

ISBN (Print) | 978-0-7923-3262-6 |

Publication status | Published - 1995 |

### Publication series

Name | Fluid mechanics and its applications |
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Volume | 28 |

ISSN (Print) | 0926-5112 |

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## Cite this

Wapperom, P., & Hulsen, M. A. (1995). Numerical simulation of a viscoelastic fluid with anisotropic heat conduction. In J. F. Dijksman, & G. D. C. Kuiken (Eds.),

*IUTAM Symposium on Numerical Simulation of Non-Isothermal Flow of Viscoelastic Liquids : Proceedings of an IUTAM Symposium held in Kerkrade, the Netherlands, 1--3 November 1993*(Fluid mechanics and its applications; Vol. 28). Kluwer.