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Numerical Study of the Routes toward Chaos of Natural Convection within an Inclined Enclosure,
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Auteur(s): D. BATHIEBO
Auteur(s) tagués: BATHIEBO Dieudonné Joseph
Renseignée par : BATHIEBO Dieudonné Joseph
Résumé

Two-dimensional numerical study of transient natural convection in an inclined cubic cavity filled with air using stream function-vorticity form for the Navier-Stokes equations has been carried out to explore the route toward chaos. The hot and cold vertical walls are maintained isothermal at temperature T c and T h respectively and the other walls are adiabatic. Two angles of inclination of the cavity 25 and 65 are considered. Transfers equations are solved using finite-difference discretization procedures. The study predicts various critical Rayleigh numbers for the two tilted angles characterizing the variation of the attractor behaviour and shows that the larger the Rayleigh number is, the more sensitive the attractor becomes to time step and meshes size. The routes toward the chaos followed by the attractor are: limit point/limit cycle/T 2 torus/cycle fitted on a T 2 torus/chaos/T 2 torus/cycle fitted on a T 2 …

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