Natural convection in a V-shaped cavity

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Conference Proceeding
International Heat Transfer Conference, 2018, 2018-August pp. 2977 - 2985
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© 2018 International Heat Transfer Conference. All rights reserved. Natural convection is widely present in industrial system and in nature such as in a valley due to sun radiation and thus the study of natural convection in a v-shaped cavity is of significance. In this study, the transition of natural convection in a v-shaped cavity to a chaotic state is numerically investigated. A wide range of Rayleigh numbers from 100 to 108 for the Prandtl number of 0.71 and the aspect ratio of 0.5 are considered. A set of bifurcations are described including the Pitchfork bifurcation from symmetrical to asymmetrical state and the Hopf bifurcation from steady to unsteady state. The critical Rayleigh numbers of bifurcations are obtained based on a great number of numerical tests. The spectral analysis is applied for unsteady natural convection in the cavity and the fundamental frequency is obtained. Further, the dependence on the Rayleigh number of the Nusselt number through the v-shaped cavity is quantified and the scaling relation between the Nusselt number and the Rayleigh number is presented.
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