Liu Yuanming, Ecke Robert E
Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Jul;84(1 Pt 2):016311. doi: 10.1103/PhysRevE.84.016311. Epub 2011 Jul 22.
We present local temperature measurements of turbulent Rayleigh-Bénard convection with rotation about a vertical axis. The fluid, water with Prandtl number about 6, was confined in a cell with a square cross section of 7.3×7.3 cm(2) and a height of 9.4 cm. Temperature fluctuations and boundary-layer profiles were measured for Rayleigh numbers 1×10(7)<Ra<5×10(8) and Taylor numbers 0<Ta<5×10(9). We present statistics of the temperature field measured by a single thermistor located along the vertical centerline of the cell or by an array of thermistors distributed laterally from that centerline. The statistics include the mean temperature, standard deviation, skewness, and the probability distribution functions at various locations in the cell, especially near and inside the thermal boundary layer. The effects of rotation on these quantities are discussed including the presence of a rotation-dependent mean vertical temperature gradient, the negative skewness of temperature fluctuations in the boundary layer, and the horizontal homogenization of temperature.
我们展示了关于绕垂直轴旋转的湍流瑞利 - 贝纳德对流的局部温度测量结果。流体为普朗特数约为6的水,被限制在一个横截面为7.3×7.3平方厘米、高度为9.4厘米的方形槽中。测量了瑞利数1×10⁷ < Ra < 5×10⁸和泰勒数0 < Ta < 5×10⁹时的温度波动和边界层剖面。我们展示了由位于槽垂直中心线的单个热敏电阻或从该中心线横向分布的热敏电阻阵列测量的温度场统计数据。这些统计数据包括槽内不同位置,特别是热边界层附近和内部的平均温度、标准差、偏度和概率分布函数。讨论了旋转对这些量的影响,包括与旋转相关的平均垂直温度梯度的存在、边界层中温度波动的负偏度以及温度的水平均匀化。