Bifurcations and chaos in large-Prandtl number Rayleigh–Bénard convection

Paul, Supriyo ; Wahi, Pankaj ; Verma, Mahendra K. (2011) Bifurcations and chaos in large-Prandtl number Rayleigh–Bénard convection International Journal of Non-linear Mechanics, 46 (5). pp. 772-781. ISSN 0020-7462

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Official URL: http://doi.org/10.1016/j.ijnonlinmec.2011.02.010

Related URL: http://dx.doi.org/10.1016/j.ijnonlinmec.2011.02.010

Abstract

Rayleigh–Bénard convection with large-Prandtl number (P) is studied using a low-dimensional model constructed with the energetic modes of pseudospectral direct numerical simulations. A detailed bifurcation analysis of the non-linear response has been carried out for water at room temperature (P=6.8) as the working fluid. This analysis reveals a rich instability and chaos picture: steady rolls, time-periodicity, quasiperiodicity, phase locking, chaos, and crisis. Our low-dimensional model captures the reappearance of ordered states after chaos, as previously observed in experiments and simulations. We also observe multiple coexisting attractors consistent with previous experimental observations for a range of parameter values. The route to chaos in the model occurs through quasiperiodicity and phase locking, and attractor-merging crisis. Flow patterns spatially moving along the periodic direction have also been observed in our model.

Item Type:Article
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ID Code:118963
Deposited On:05 Jun 2021 06:11
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