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PITCHFORK BIFURCATION OF THEMIXED CONVECTION IN A VERTICAL CHANNEL

DOI: 10.1615/ICHMT.2009.CONV.600
8 pages

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

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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