Large scale dynamics in turbulent Rayleigh-Benard convection

Abstract

The progress in our understanding of several aspects of turbulent Rayleigh-Benard convection is reviewed. The focus is on the question of how the Nusselt number and the Reynolds number depend on the Rayleigh number Ra and the Prandtl number Pr, and on how the thicknesses of the thermal and the kinetic boundary layers scale with Ra and Pr. Non-Oberbeck-Boussinesq effects and the dynamics of the large-scale convection-roll are addressed as well. The review ends with a list of challenges for future research on the turbulent Rayleigh-Benard system.

Review article, 34 pages, 13 figures, Rev. Mod. Phys. 81, in press (2009)

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• On the inverse cascade and flow speed scaling behavior in rapidly rotating Rayleigh-Bénard convection
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• Quasistatic magnetoconvection: Heat transport enhancement and boundary layer crossing
• Direct data-driven forecast of local turbulent heat flux in Rayleigh-Bénard convection
• Convective heat transfer in the Burgers-Rayleigh-Bénard system
• Residence time of inertial particles in 3D thermal convection: implications for magma reservoirs
• Molecular hints of two-step transition to convective flow via streamline percolation
• Oscillation in the temperature profile of the large-scale circulation of turbulent convection induced by a cubic container
• Thermoelectric Precession in Turbulent Magnetoconvection
• Effect of Prandtl number on heat transport enhancement in Rayleigh-Bénard convection under geometrical confinement
• Predicting transition ranges to turbulent viscous boundary layers in low Prandtl number convection flows
• Ultimate regimes in horizontal and internally heated convection
• Analysis and reformulation of the $k$--$\omega$ turbulence model for buoyancy-driven thermal convection
• Universal properties of penetrative turbulent Rayleigh--Bénard convection in cold water near $4^{\circ }\mathrm{C}$
• Freezing and ice aging dynamics in saline water under natural convection
• Swaying oscillations in Rayleigh-Bénard convection cast new light on solar convection
• Physical Mechanism behind the Early Onset of the Ultimate State in Supergravitational Centrifugal Thermal Convection
• The Lagrangian picture of heat transfer in convective turbulence
• A criterion to detect line plumes from velocity fields in turbulent convection
• Optimized Setup for 2D Convection Experiments in Thin Liquid Films
• Detection of standing internal gravity waves in experiments with convection over a wavy heated wall
• Three-dimensional velocity gradient statistics in a mesoscale convection laboratory experiment
• Natural convection in a vertical channel. Part 3. Bifurcations of many (additional) unstable periodic orbits and their dynamical relevance
• Data-driven prediction of reversal of large-scale circulation in turbulent convection
• Transition to inverse cascade in turbulent rotating convection in absence of the large-scale vortex
• Non-universal transport mechanisms in vertical natural convection with dispersed light droplets
• Reorientation of large-scale circulation of turbulent Rayleigh-Bénard convection in a cubic cell
• Sharp bounds on the Nusselt number in Rayleigh-Bénard convection and a bilinear estimate via Carleson measures
• Effects of radius ratio on annular centrifugal Rayleigh-Bénard convection