Instability of swirl in low-Prandtl-number thermal convection

Statistics – Computation

Scientific paper

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Flow Equations, Flow Stability, Free Convection, Prandtl Number, Swirling, Vortices, Computational Fluid Dynamics, Flow Velocity, Nonlinear Equations, Time Dependence, Two Dimensional Flow

Scientific paper

Some aspects of the transition to time-dependent flow in low-Prandtl-number thermal convection are examined using a highly truncated modal approach. Particular attention is given to the cases of mercury and liquid helium or air, as best-known examples of low and intermediate Prandtle-number fluids. The model used here reproduces with reasonable accuracy the time dependence observed in experiments on mercury. Frequencies and fluxes computed for mildly supercritical Rayleigh numbers are consistent with experiments, particularly experiments with containers of intermediate aspect ratio.

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