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Numerical Analysis of Multiplicity and Transition Phenomena in Natural Convection

DOI: 10.1615/ICHMT.2015.THMT-15.770
pages 387-390

A. Ecder
Department of Mechanical Engineering, Bogazici University, Bebek Istanbul, Turkey

H. Kafil
Department of Computational Science and Engineering, Bogazici University, Bebek Istanbul, Turkey


A parametric investigation of the transition from steady to oscillatory state, and multiplicity phenomena in natural convection are studied for 2-D cavity. In this study the effects of different parameters such as Prandtl number (Pr), Rayleigh number (Ra), and aspect ratio (AR) are numerically analyzed. The complex phenomenon of onset of instability in a specific range of Ra numbers is examined, and multiple steady states are observed. It is found that, even at low Ra numbers, the flow undergoes a series of turning-point bifurcations which increase the rate of convective flow. The dependence of the critical Ra number on the AR and the Pr number is shown in stability diagrams.

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