Prime modes of fluid circulation in large-aspect-ratio turbulent Rayleigh-Bénard convection

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Abstract

Based on a detailed experimental investigation in an aspect-ratio-4 rectangular cell in the range 3.7×107?Ra?3.7×109, we present evidence of possible scenarios of the long-term dynamics of large-scale circulations (LSC) in bounded large-aspect-ratio turbulent Rayleigh-Bénard convection. Karhunen-Loève analysis of instantaneous velocity fields from long-time particle image velocimetry measurements suggests two different states, but both appear to be produced by a single large-scale flow structure. The measurements provide a three-dimensional picture of LSC in the ?=4 cell. A modified scaling relation between the LSC peak frequency ?p and Ra is proposed.