Fine vortex structure and flow transition to the geostrophic regime in rotating Rayleigh-Bénard convection

preprint2019arXivOpen access

Abstract

We present spatial-resolved measurements of the columnar vortex structures in rotating Rayleigh-Bénard convection. The scaled radial profiles of the azimuthal velocity uϕ(r)u_ϕ(r) and vertical vorticity ω(r)ω(r) of the vortices are analyzed and compared with the predictions of the asymptotic theory. The results reveal that the asymptotic theory predicts accurately uϕ(r)u_ϕ(r) and ω(r)ω(r) in the geostrophic convection regime, but extension of the theory in the weak rotation regime is needed to interpret the rotation-dependence of the experimental data. Our measurements of the mean velocity, vorticity of the vortices, and the strength of the vortex shield structure all indicate a flow transition from weekly rotating convection to geostrophic convection. Results of the parameter values for the transition are in agreement with the scaling relationship obtained from previous heat-transfer measurements.

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