## Abstract

The mixed convection heat transfer in a homogeneous porous duct of rectangular cross section in a horizontal orientation is examined in this work. The flow is modeled by the Darcy equation and an averaged, single-equation model is used for the heat transfer. The aspect ratio of the duct appears as the natural geometrical parameter and the product of the Grashoff number and the Prandtl number appears as the natural dynamical parameter. The resulting discretized equations are solved using arc-length continuation method to trace the entire path of symmetric solutions. The limit points on the solution path are calculated precisely using the extended system formulation. The main result of our calculations is that the pattern of solutions is considerably more complicated than found earlier. The observation that there should be an odd number of solutions for a given value of Gr is confirmed.

Original language | English |
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Pages (from-to) | 67-73 |

Number of pages | 7 |

Journal | American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD |

Volume | 84 |

State | Published - 1987 |

Externally published | Yes |