• evolution to chaotic mixed convection in a multiple ventilated cavity

    جزئیات بیشتر مقاله
    • تاریخ ارائه: 1390/01/01
    • تاریخ انتشار در تی پی بین: 1390/01/01
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     the characteristics of transition from laminar to chaotic mixed convection in a two-dimensional multiple ventilated cavity is analyzed in this paper. the horizontal air streams enter the cavity from the two inflow-openings near the top of both vertical walls, while the outflow openings are near the bottoms of both vertical walls. the results obtained for a range of the richardson number, ri, from 0.01 to 5 at pr = 0.71, the reynolds number, re, from 1000 to 2500 and the inlet flow angle, φ, based on 0°, 20°, 45° and 70°. the results show that, as ri increases, the solution may exhibit a change from steady-state to periodic oscillation, and then to non-periodic oscillatory state. however, the flow inside the cavity becomes steady-state again as richardson number increases further. the results also show that the effect of inlet flow angle on the oscillations of mixed convection is evident, the configuration with φ = 0° is the most unstable among the four values of φ. the non-periodic oscillatory solution at re = 2500 is studied by means of phase portraits, correlation dimension, kolmogorov entropy and lyapunov exponents to detect chaos. the phase portraits show the evolution of the attractor from a stable fixed point to a limited cycle to chaos, and finally, to a stable fixed point again, and the correlation dimension, kolmogorov entropy and the largest lyapunov numbers all show that the behavior of mixed convection in this dynamical system lies on a low-dimensional chaotic attractor according to the non-periodic oscillatory solution.

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