旋转球腔振动产生的平均纬向流的实验和数值研究
Experimental and numerical study of mean zonal flows generated by librations of a rotating spherical cavity
摘要：
本文对球形旋转容器纵向振动产生的定常纬向流进行了实验和数值研究。这项研究遵循Busse（2010）最近的弱非线性分析，在小的天平动频率-旋转速率比和大的天平动频率-自旋时间乘积的限制下发展。使用PIV测量以及从轴对称数值模拟的结果，我们确认定量的Busse的解析解的主要特点：带状流的形式，在流体内部的逆行固体旋转，这不依赖于天平动频率，也不对埃克曼数，并作为激励的振幅的平方而变化。我们还报告了一个不可预测的湍流在赤道附近的外壁的存在。
英文摘要：
We study both experimentally and numerically the steady zonal flow generated by longitudinal librations of a spherical rotating container. This study follows the recent weakly nonlinear analysis of Busse (2010), developed in the limit of small libration frequency - rotation rate ratio, and large libration frequency - spin-up time product. Using PIV measurements as well as results from axisymmetric numerical simulations, we confirm quantitatively the main features of Busse's analytical solution: the zonal flow takes the form of a retrograde solid body rotation in the fluid interior, which does not depend on the libration frequency nor on the Ekman number, and which varies as the square of the amplitude of excitation. We also report the presence of an unpredicted prograde flow at the equator near the outer wall.
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