Coriolis effect on centrifugal buoyancy-driven convection in a thin cylindrical shell

Rouhi, Amirreza; Lohse, Detlef; Marušić, Ivan; Sun, Chao; Chung, Daniel

doi:10.1017/jfm.2020.959

Cited by 16 publications

(12 citation statements)

References 119 publications

(279 reference statements)

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“…Unfortunately, higher Ra simulation has not been achieved in the present study. Above analysis gives an indication that the strong shear and Coriolis effects induced by rapid rotation promote the BL transition to the turbulent Prandtl-von Kármán type [36].…”

Section: Resultsmentioning

confidence: 85%

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Evidences for the existence of the ultimate regime in supergravitational turbulent thermal convection

Jiang,

Wang,

Liu

et al. 2021

Preprint

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What is the final state of turbulence when the driving parameter approaches to infinity? For thermal turbulence, in 1962, Kraichnan proposed a so-called ultimate scaling dependence of the heat transport (quantified by the Nusselt number Nu) on the Rayleigh number (Ra), which can be extrapolated to arbitrarily high Ra. The existence of Kraichnan ultimate scaling has been intensively debated in the past decades. In this work, using a supergravitational thermal convection system, with an effective gravity up to 100 times the Earth's gravity, both Rayleigh number and shear Reynolds number can be boosted due to the increase of the buoyancy driving and the additional Coriolis forces. Over a decade of Ra range, we demonstrate the existence of Kraichnan-like ultimate regime with four direct evidences: the ultimate scaling dependence of Nu versus Ra; the appearance of turbulent velocity boundary layer profile; the enhanced strength of the shear Reynolds number; the new statistical properties of local temperature fluctuations. The present findings will greatly improve the understanding of the flow dynamics in geophysical and astrophysical flows.

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Section: Resultsmentioning

confidence: 85%

“…In order to study the ultimate thermal turbulence, we propose to use a supergravitational system (Annular Centrifugal RBC, ACRBC) (sketched in figures 1 (a,b)), which is a cylindrical annulus with cooled inner and heated outer walls under a rapid solid-body rotation [35,36].…”

Section: Experiments and Simulationsmentioning

confidence: 99%

Evidences for the existence of the ultimate regime in supergravitational turbulent thermal convection

Jiang,

Wang,

Liu

et al. 2021

Preprint

Self Cite

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“…The main issues for thermal turbulence studies include the dynamics of turbulent structures and the scaling relation between the heat transport, in the dimensionless form, Nusselt number Nu, and thermally driven force, in the dimensionless form, Rayleigh number Ra. Recently a novel system similar to classical RBC, an annular centrifugal RBC (ACRBC) system with cold inner and hot outer cylinders corotating axially, has been proposed (Kang et al 2019;Jiang et al 2020;Rouhi et al 2021). By exploiting strong centrifugal force through rapid rotation, the intensity of the thermal driving can be significantly enhanced.…”

Section: Introductionmentioning

confidence: 99%

Effects of radius ratio on annular centrifugal Rayleigh–Bénard convection

et al. 2021

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We report on a three-dimensional direct numerical simulation study of flow structure and heat transport in the annular centrifugal Rayleigh–Bénard convection (ACRBC) system, with cold inner and hot outer cylinders corotating axially, for the Rayleigh number range $Ra \in [{10^6},{10^8}]$ and radius ratio range $\eta = {R_i}/{R_o} \in [0.3,0.9]$ ( $R_i$ and $R_o$ are the radius of the inner and outer cylinders, respectively). This study focuses on the dependence of flow dynamics, heat transport and asymmetric mean temperature fields on the radius ratio $\eta$ . For the inverse Rossby number $Ro^{-1} = 1$ , as the Coriolis force balances inertial force, the flow is in the inertial regime. The mechanisms of zonal flow revolving in the prograde direction in this regime are attributed to the asymmetric movements of plumes and the different curvatures of the cylinders. The number of roll pairs is smaller than the circular roll hypothesis as the convection rolls are probably elongated by zonal flow. The physical mechanism of zonal flow is verified by the dependence of the drift frequency of the large-scale circulation (LSC) rolls and the space- and time-averaged azimuthal velocity on $\eta$ . The larger $\eta$ is, the weaker the zonal flow becomes. We show that the heat transport efficiency increases with $\eta$ . It is also found that the bulk temperature deviates from the arithmetic mean temperature and the deviation increases as $\eta$ decreases. This effect can be explained by a simple model that accounts for the curvature effects and the radially dependent centrifugal force in ACRBC.

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“…Generally, the classification of problems with rotating systems depends on the Rossby number defined as the ratio between inertial forces (triggered by gravity, centrifugal force, or pressure gradient) and Coriolis force. The authors of the recent work Rouhi et al (2021) made a complete review of the papers devoted to various types of centrifugation. They have noticed that the systems characterized by large values of the Rossby number received insufficient attention Busse and Carrigan (1974); Stevens et al (2013); Read et al (2008); Von Larcher et al (2018).…”

Section: Introductionmentioning

confidence: 99%

“…As a rule, centrifugal convection is studied in a thin cylindrical layer Rouhi et al (2021), where the centrifugal force has a quasi-constant value within the cavity (Fig. 1, scheme on the left).…”

Section: Introductionmentioning

confidence: 99%

Pattern Formation in Miscible Rotating Hele-Shaw Flows Induced by a Neutralization Reaction

Utochkin

Siraev

Bratsun

2021

Microgravity Sci. Technol.

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We study the centrifugal buoyancy-driven chemoconvection in a Hele-Shaw cell that uniformly rotates around e perpendicular axis. The slot is considered thin enough to neglect the influence of the Coriolis force. The initial configuration of the system consists of two aqueous reacting solutions separated by a concentric boundary. The acid solution fills the center of the cavity, while the base solution is in the periphery. Bringing liquids into contact initiates a neutralization reaction to form a salt. We show that reaction-diffusion processes produce a potential well near the reaction front, which determines the pattern formation of the system. For some ratios of initial concentrations, there appears a periodic sequence of chemoconvective vortices in the well, while for others, when the well collapses, a shock-like density wave occurs. When the density of the acid solution is higher, the Rayleigh-Taylor instability develops in the system. We found that an increase in the rotation speed leads to a gradual disruption of the structure periodicity. It can even result in the ejection of some vortices from the potential well. We show that the density wave is extremely sensitive to the magnitude of the centrifugal force, occurring only at some critical value. Finally, we obtained a stability map of the system by performing direct numerical simulations for increasing the centrifugal Rayleigh number and the dimensionless distance of the initial contact surface between the solutions from the axis of rotation.

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Coriolis effect on centrifugal buoyancy-driven convection in a thin cylindrical shell

Abstract: Abstract

Cited by 16 publications

References 119 publications

Evidences for the existence of the ultimate regime in supergravitational turbulent thermal convection

Evidences for the existence of the ultimate regime in supergravitational turbulent thermal convection

Effects of radius ratio on annular centrifugal Rayleigh–Bénard convection

Pattern Formation in Miscible Rotating Hele-Shaw Flows Induced by a Neutralization Reaction

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