### Abstract

Two dimensional natural convection for a fluid of third grade, in an inclined cavity of arbitrary aspect ratio is solved by a regular perturbation for small Grashof numbers. Non-Newtonian effects appear at the third order of the analysis in accordance with Tanner's theorem due to the two dimensional nature of the flow. In this slow flow generated by small temperature gradients the contribution of the elastic effects to non-Newtonian behavior is much larger than the shear-thinning behavior. The viscoelastic flow field shows dramatic changes from the Newtonian field.

Original language | English |
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Title of host publication | Recent Advances in Non-Newtonian Flows |

Publisher | Publ by ASME |

Pages | 67-74 |

Number of pages | 8 |

Volume | 153 |

ISBN (Print) | 0791811212 |

Publication status | Published - 1992 |

Event | Winter Annual Meeting of the American Society of Mechanical Engineers - Anaheim, CA, USA Duration: Nov 8 1992 → Nov 13 1992 |

### Other

Other | Winter Annual Meeting of the American Society of Mechanical Engineers |
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City | Anaheim, CA, USA |

Period | 11/8/92 → 11/13/92 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Mechanical Engineering

### Cite this

*Recent Advances in Non-Newtonian Flows*(Vol. 153, pp. 67-74). Publ by ASME.

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*Recent Advances in Non-Newtonian Flows.*vol. 153, Publ by ASME, pp. 67-74, Winter Annual Meeting of the American Society of Mechanical Engineers, Anaheim, CA, USA, 11/8/92.

**Buoyancy driven non-Newtonian flows in enclosures.** / Valenzuela-Rendon, A.; Siginer, D. A.

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

TY - GEN

T1 - Buoyancy driven non-Newtonian flows in enclosures

AU - Valenzuela-Rendon, A.

AU - Siginer, D. A.

PY - 1992

Y1 - 1992

N2 - Two dimensional natural convection for a fluid of third grade, in an inclined cavity of arbitrary aspect ratio is solved by a regular perturbation for small Grashof numbers. Non-Newtonian effects appear at the third order of the analysis in accordance with Tanner's theorem due to the two dimensional nature of the flow. In this slow flow generated by small temperature gradients the contribution of the elastic effects to non-Newtonian behavior is much larger than the shear-thinning behavior. The viscoelastic flow field shows dramatic changes from the Newtonian field.

AB - Two dimensional natural convection for a fluid of third grade, in an inclined cavity of arbitrary aspect ratio is solved by a regular perturbation for small Grashof numbers. Non-Newtonian effects appear at the third order of the analysis in accordance with Tanner's theorem due to the two dimensional nature of the flow. In this slow flow generated by small temperature gradients the contribution of the elastic effects to non-Newtonian behavior is much larger than the shear-thinning behavior. The viscoelastic flow field shows dramatic changes from the Newtonian field.

UR - http://www.scopus.com/inward/record.url?scp=0026990332&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026990332&partnerID=8YFLogxK

M3 - Conference contribution

SN - 0791811212

VL - 153

SP - 67

EP - 74

BT - Recent Advances in Non-Newtonian Flows

PB - Publ by ASME

ER -