Spin-up from rest of a two-layer liquid in a cylinder
Spin-up from rest of a two-layer liquid in a cylinder
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从圆筒中剩余的两层液体旋转
DOI：
10.1115/1.2911854
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发表时间：
1994
期刊：
影响因子：
--
通讯作者：
J. Hyun
中科院分区：
文献类型：
--
作者：
K. Kim;J. Hyun
数值和分析研究是对快速旋转的圆柱体中两层液体的其余部分的自旋进行的。整个系统的埃克曼数很小。顶层的密度小于底层的密度(ρ 1 /ρ 2 1.0)。简要概述了基于 Wedemeyer-Gerber-Homicz 流配置的修正公式的分析模型的亮点。与时间相关的纳维-斯托克斯方程得到了全面的数值解。通过将最大界面位移与可用实验数据以及分析模型预测进行比较来验证数值解。描述了ν 1 /ν 2 1.0 两种状态下界面形状的显着特征。通过利用数值解来说明方位角和子午流结构的细节。计算的经向流与分析模型开发中嵌入的基本假设兼容。给出了方位角速度径向剖面的序列图。这些表明全局自旋过程基本上在（E n -1/2 Ω -1 ）上完成，其中E n 表示两层中较小的埃克曼数的值。数值研究证明了简化分析模型的可靠性和准确性
A numerical and analytical study is made of spin-up from rest of a two-layer liquid in a rapidly rotating cylinder. The overall system Ekman number is small. The density of the top layer is smaller than that of the bottom layer (ρ 1 /ρ 2 1.0). The highlights of the analytical model, which is based on amended formulations of the Wedemeyer-Gerber-Homicz flow configurations, are briefly recapitulated. Comprehensive numerical solutions are secured to the time-dependent Navier-Stokes equations. The numerical solutions are validated by comparing the maximum interface displacements with the available experimental data as well as the analytical model predictions. Descriptions are made of the prominent characteristics of the interface shape for the two regimes of ν 1 /ν 2 1.0. Details of the azimuthal and meridional flow structures are illustrated by exploiting the numerical solutions. The computed meridional flows are compatible with the basic assumptions embedded in the development of the analytical model. Sequential plots of the radial profiles of azimuthal velocities are presented. These show that the global spin-up process is substantially accomplished over (E n −1/2 Ω −1 ), where E n denotes the value of the smaller Ekman number of the two layers. The numerical study gives credence to the reliability and accuracy of the simplified analytical model