Similarity model for corner roll in turbulent Rayleigh-Benard convection

Abstract

The corner roll (CR) in the Rayleigh-Bénard (RB) convection accounts for the behaviors of heat transport and convection flow at the corner. Streamlines of the three-dimensional direct numerical simulations for $10^8<Ra<5\times 10^9$ show that CR presents well-defined similarity and multi-layer structure. A stream function for CR is developed by homotopy and the structure ensemble dynamics. The model presents the scaling of Reynolds number of corner roll $R{e}_{cr}\sim R{a}^{1/4}$. Scaling of CR scale $r=0.77R{a}^{-0.085}$ indicates strong near-wall shearing induced by wind and provides a probability of the `ultimate regime' at high $Ra$.

5 pages, 6 figures

References in corpus (10)

• Large scale dynamics in turbulent Rayleigh-Benard convection
• Scaling in thermal convection: A unifying theory
• Boundary layer structure in turbulent thermal convection and its consequences for the required numerical resolution
• Radial boundary layer structure and Nusselt number in Rayleigh-Benard convection
• Flow organization in non-Oberbeck-Boussinesq Rayleigh-Benard convection in water
• Boundary layer structure in turbulent Rayleigh-Benard convection
• Scaling of large-scale quantities in Rayleigh-Bénard convection
• Bulk flow scaling for turbulent channel and pipe flows
• Spectra and probability distributions of thermal flux in turbulent Rayleigh-Bénard convection
• Prediction of temperature distribution in turbulent Rayleigh-Benard convection

Cited by in corpus (5)

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• Tristable flow states and reversal of the large-scale circulation in two-dimensional circular convection cells
• Dynamics and Statistics of Reorientations of Large-Scale Circulation in Turbulent Rotating Rayleigh-Bénard Convection
• Scaling and spatial intermittency of thermal dissipation in turbulent convection
• Boundary layer structure in turbulent Rayleigh-Bénard convection in a slim box