Three-dimensional visualization of columnar vortices in rotating Rayleigh–Bénard convection

Fujita, Kodai; Tasaka, Yuji; Yanagisawa, Takatoshi; Noto, Daisuke; Murai, Yuichi

doi:10.1007/s12650-020-00651-0

Cited by 4 publications

(2 citation statements)

References 24 publications

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“…The three-dimensional experimental vorticity structure of vortices was measured by Fujita et al. (2020) through scanning velocity fields at different heights.…”

Section: Introductionmentioning

confidence: 99%

“…Their results reveal that the asymptotic theory predicts accurately the velocity and vorticity profiles of the vortices in the flow regime of rotation-dominated convection, but deviates from the experimental results in weakly rotating convection. The three-dimensional experimental vorticity structure of vortices was measured by Fujita et al (2020) through scanning velocity fields at different heights.…”

Section: Introductionmentioning

confidence: 99%

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Vortex dynamics in rotating Rayleigh–Bénard convection

Ding,

Chong

et al. 2023

J. Fluid Mech.

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We investigate the spatial distribution and dynamics of the vortices in rotating Rayleigh–Bénard convection in a reduced Rayleigh number range $1.3\le Ra/Ra_{c}\le 83.1$ . Under slow rotations ( $Ra\approx 80\,Ra_{c}$ ), the vortices are distributed randomly, which is manifested by the size distribution of the Voronoi cells of the vortex centres being a standard $\varGamma$ distribution. The vortices exhibit Brownian-type horizontal motion in the parameter range $Ra\gtrsim 10\,Ra_{c}$ . The probability density functions of the vortex displacements are, however, non-Gaussian at short time scales. At modest rotating rates ( $4\,Ra_{c}\le Ra\lesssim 10\,Ra_{c}$ ), the centrifugal force leads to radial vortex motions, i.e. warm cyclones (cold anticyclones) moving towards (outwards from) the rotation axis. The horizontal scale of the vortices decreases with decreasing $Ra/Ra_c$ , and the size distribution of their Voronoi cells deviates from the $\varGamma$ distribution. In the rapidly rotating regime ( $1.6\,Ra_{c}\le Ra\le 4\,Ra_{c}$ ), the vortices are densely distributed. The hydrodynamic interaction of neighbouring vortices results in the formation of vortex clusters. Within clusters, cyclones exhibit inverse-centrifugal motion as they submit to the outward motion of the strong anticyclones, and the radial velocity of the anticyclones is enhanced. The radial mobility of isolated vortices, scaled by their vorticity strength, is shown to be a simple power function of the Froude number. For all flow regimes studied, we show that the number of vortices with a lifespan greater than $t$ decreases exponentially as $\exp ({-t/{\tau }})$ for large time, where $\tau$ represents the characteristic lifetime of long-lived vortices.

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“…The three-dimensional experimental vorticity structure of vortices was measured by Fujita et al. (2020) through scanning velocity fields at different heights.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Vortex dynamics in rotating Rayleigh–Bénard convection

Ding,

Chong

et al. 2023

J. Fluid Mech.

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Stepwise transitions in spin-up of rotating Rayleigh–Bénard convection

et al. 2021

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On convective instabilities in a rotating fluid with stably stratified layer and thermally heterogeneous boundary

Garai

Sahoo

2022

Physics of Fluids

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The onset of convection in a rotating plane layer due to a vertical temperature gradient is studied in this paper. The background stratification is modulated by lateral temperature variations and stable stratification aimed at understating the Earth's outer core convection subject to thermal core--mantle interaction. At the top boundary, sinusoidal and Gaussian temperature variations are imposed apart from the reference case of isothermal condition used in the classical Rayleigh--Benard convection. The additional modulating conditions break the top-bottom flow symmetry leading to flow localisation and asymmetry that exhibit modified temporal dynamics unlike that of the classical Rayleigh Benard cells. The threshold for convection is lowered with flows occurring in surplus heat flux regions caused by the imposed conditions. Despite flow suppression in the stable layer, rapid rotation favours the penetration of convection rolls with smaller wavelengths. The lateral variations in temperature imposed at the top boundary enhance such axial penetration with a laterally varying penetrative extent resulting in a modified clustered flow structure unlike the reference case. With both modulating conditions imposed, the onset of overstable modes is favoured for low Prandtl numbers, a regime which is relevant to the Earth's core conditions. With rapid rotation, a novel mode of travelling wave instability occurs at onset of convection, the propagation direction of which is controlled by the lateral temperature gradients at the top boundary. The onset of oscillatory modes is suppressed by the imposition of the modulating conditions indicated by the significant lowering of the transition Prandtl number.

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Three-dimensional visualization of columnar vortices in rotating Rayleigh–Bénard convection

Cited by 4 publications

References 24 publications

Vortex dynamics in rotating Rayleigh–Bénard convection

Vortex dynamics in rotating Rayleigh–Bénard convection

Stepwise transitions in spin-up of rotating Rayleigh–Bénard convection

On convective instabilities in a rotating fluid with stably stratified layer and thermally heterogeneous boundary

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