Heat Transport in Turbulent Rayleigh-Benard Convection

Abstract

We present measurements of the Nusselt number $\mathcal{N}$ as a function of the Rayleigh number $R$ in cylindrical cells with aspect ratios $0.5\le \Gamma \equiv D/d\le 12.8$ ($D$ is the diameter and $d$ the height). We used acetone with a Prandtl number $\sigma =4.0$ for $10^5 \alt R \alt 4\times10^{10}$. A fit of a powerlaw $\mathcal{N}={\mathcal{N}}_0{R}^{{\gamma }_{eff}}$ over limited ranges of $R$ yielded values of ${\gamma }_{eff}$ from 0.275 near $R=10^7$ to 0.300 near $R=10^{10}$. The data are inconsistent with a single powerlaw for $\mathcal{N}(R)$. For $R>10^7$ they are consistent with $\mathcal{N}=a{\sigma }^{-1/12}{R}^{1/4}+b{\sigma }^{-1/7}{R}^{3/7}$ as proposed by Grossmann and Lohse for $σ\agt 2$.

RevTeX, 4 pages with 7 eps figures

References in corpus (2)

• Scaling in thermal convection: A unifying theory
• High Rayleigh number turbulent convection in a gas near the gas-liquid critical point

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