Department of Physics, University of California, Santa Barbara, California 93106, USA.
Phys Rev Lett. 2012 Sep 14;109(11):114501. doi: 10.1103/PhysRevLett.109.114501.
We report results for the temperature profiles of turbulent Rayleigh-Bénard convection (RBC) in the interior of a cylindrical sample of aspect ratio Γ≡D/L=0.50 (D and L are the diameter and height, respectively). Both in the classical and in the ultimate state of RBC we find that the temperature varies as A×ln(z/L)+B, where z is the distance from the bottom or top plate. In the classical state, the coefficient A decreases in the radial direction as the distance from the side wall increases. For the ultimate state, the radial dependence of A has not yet been determined. These findings are based on experimental measurements over the Rayleigh-number range 4×10(12)≲Ra≲10(15) for a Prandtl number Pr≃0.8 and on direct numerical simulation at Ra=2×10(12), 2×10(11), and 2×10(10), all for Pr=0.7.
我们报告了圆柱体内切比雪夫-贝努利对流（RBC）温度剖面的结果，该圆柱的纵横比Γ≡D/L=0.50（D 和 L 分别为直径和高度）。在 RBC 的经典状态和极限状态下，我们发现温度随 A×ln(z/L)+B 变化，其中 z 是距离底部或顶部板的距离。在经典状态下，A 系数随离侧壁距离的增加而减小。对于极限状态，A 的径向依赖性尚未确定。这些发现基于 Prandtl 数 Pr≃0.8 时在瑞利数范围 4×10(12)≲Ra≲10(15)内的实验测量以及在 Ra=2×10(12)、2×10(11)和 2×10(10)下的直接数值模拟，所有这些都针对 Pr=0.7。
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