Patterns and bifurcations in low-Prandtl number Rayleigh-Benard convection

Details Patterns and bifurcations in low-Prandtl number Rayleigh-Benard convection Patterns and bifurcations in low-Prandtl number Rayleigh-Benard convection

2009-12-04

arxiv.org/abs/0912.0918v1

EPL, 89 (2010) 44003

Physics

Fluid Dynamics

Scientific paper

10.1209/0295-5075/89/44003

We present a detailed bifurcation structure and associated flow patterns for low-Prandtl number ($P=0.0002, 0.002, 0.005, 0.02$) Rayleigh-B\'{e}nard convection near its onset. We use both direct numerical simulations and a 30-mode low-dimensional model for this study. We observe that low-Prandtl number (low-P) convection exhibits similar patterns and chaos as zero-P convection \cite{pal:2009}, namely squares, asymmetric squares, oscillating asymmetric squares, relaxation oscillations, and chaos. At the onset of convection, low-P convective flows have stationary 2D rolls and associated stationary and oscillatory asymmetric squares in contrast to zero-P convection where chaos appears at the onset itself. The range of Rayleigh number for which stationary 2D rolls exist decreases rapidly with decreasing Prandtl number. Our results are in qualitative agreement with results reported earlier.

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