SIMULATION OF FLOW BETWEEN CONCENTRIC ROTATING SPHERES .1. STEADY-STATES
SIMULATION OF FLOW BETWEEN CONCENTRIC ROTATING SPHERES .1. STEADY-STATES
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DOI：
10.1017/s0022112087003069
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发表时间：
1987-12-01
影响因子：
3.7
通讯作者：
TUCKERMAN, LS
中科院分区：
文献类型：
--
作者：
MARCUS, PS;TUCKERMAN, LS
作为初值问题，数值计算了两个同心差动旋转球之间的轴对称球Couette流。与时间无关的球形Couette流与零，一个和两个泰勒涡计算在我们的模拟被发现是反射对称的赤道，尽管我们的伪谱数值方法没有施加这些属性。我们的解决方案进行检查的自洽性，与其他数值计算相比，并对实验室实验进行测试。目前，最精确的实验室测量是那些测量泰勒涡的大小作为雷诺数的函数，我们与这些结果的一致性是在百分之几。我们分析我们的流量，绘制他们的纬向环流，方位角速度，和能量谱。在雷诺数小于临界值的泰勒涡的发病，我们发现，捏发展中的流中的旋向速度重新分配角动量。泰勒涡很容易与夹点区分开来，因为泰勒涡中的流体通过从内球延伸到外球的流线与其余流体隔离，而夹点中的流体与其余流体混合。
Axisymmetric spherical Couette flow between two concentric differentially rotating spheres is computed numerically as an initial-value problem. The time-independent spherical Couette flows with zero, one and two Taylor vortices computed in our simulations are found to be reflection-symmetric about the equator despite the fact that our pseudospectral numerical method did not impose these properties. Our solutions are examined for self-consistency, compared with other numerical calculations, and tested against laboratory experiments. At present, the most precise laboratory measurements are those that measure Taylor-vortex size as a function of Reynolds number, and our agreement with these results is within a few per cent. We analyse our flows by plotting their meridional circulations, azimuthal angular velocities, and energy spectra. At Reynolds numbers just less than the critical value for the onset of Taylor vortices, we find that pinches develop in the flow in which the meridional velocity redistributes the angular momentum. Taylor vortices are easily differentiated from pinches because the fluid in a Taylor vortex is isolated from the rest of the fluid by a streamline that extends from the inner to the outer sphere, whereas the fluid in a pinch mixes with the rest of the flow.