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International Heat Transfer Conference 12

ISSN: 2377-424X (online)
ISSN: 2377-4371 (flashdrive)

Convective stability of vertical parallel flow in a uniformly heated enclosure

Michel Prud'homme
Départment de Génie Mécanique École Polytechnique de Montréal C.P. 6079, Succ. Centre-ville, Montréal, Québec H3C 3A7 Canada

Habiba Bougherara
Départment de Génie Mécanique École Polytechnique de Montréal C.P. 6079, Succ. Centre-ville, Montréal, Québec H3C 3A7 Canada

Ali Bahloul
Départment de Génie Mécanique École Polytechnique de Montréal C.P. 6079, Succ. Centre-ville, Montréal, Québec H3C 3A7 Canada

DOI: 10.1615/IHTC12.30
6 pages

Abstrakt

A linear stability analysis is performed of the buoyancy-driven flow in a vertical cavity, heated by uniform heat fluxes on the four walls. Comparison of the stability analysis predictions against numerical simulations shows the validity of the parallel approximation for the base flow, for cavity aspects ratios of 5 or so. Either thermal or hydrodynamic oscillating instability modes, indicating a Hopf type bifurcation of the base solution, are predicted, for all Prandtl numbers and heat flux ratios considered. For small Prandtl numbers, both modes can occur at the codimension 2 intersection points of the critical branches.

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