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Heat Transfer Research
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ISSN Imprimer: 1064-2285
ISSN En ligne: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.v41.i3.80
pages 313-323

Pitchfork Bifurcation of the Mixed Convection in a Vertical Channel

Omar Kholai
Department of Mechanical Engineering, University of Mentouri Constantine, Constantine, 25000, Algeria
Saadoun Boudebous
Department of Mechanical Engineering, University of Mentouri Constantine, Constantine, 25000, Algeria
Zoubir Nemouchi
Laboratoire d'Energetique Appliquee et de Pollution, Université des Frèses Mentouri, Constantine, Algeria
Mourad Rebay
University of Reims Champagne-Ardenne GRESPI / Faculte des Sciences PB 1039, 51687 Reims, France

RÉSUMÉ

The steady laminar mixed convection in a two-dimensional vertical channel with locally and symmetrically heated walls is studied numerically. The fluid flows downward through the channel. The walls are thermally insulated in the upstream part, maintained at a constant temperature in the heated middle part, and thermally insulated in the downstream part. The present contribution deals, in particular, with the bifurcation from a symmetric to an asymmetric solution in such opposed flow conditions. In fact, the symmetry breaking occurs at a value of the Richardson number of about 4.5.


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