Symmetric and asymmetric Taylor vortex flow in spherical gaps

Symmetric and asymmetric Taylor vortex flow in spherical gaps
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球形间隙中的对称和非对称泰勒涡流

DOI:
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发表时间:
1990
期刊:
影响因子:
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通讯作者:
K. Bühler
K. Bühler
中科院分区:
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文献类型:
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作者:
K. Bühler

文献摘要

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摘要对同心旋转球体间的旋转对称流动进行了理论和实验研究。超临界流动的非唯一性表现出三种不同的模式,即每半球0个、1个和2个Taylor涡。这些模式是通过内球与静止状态不同的加速度来实现的。数值模拟采用基于有限差分方法的初值编码。不同超临界流体的存在区域与对称和非对称相变相联系。结果表明,定态可以存在关于赤道不对称的情况。通过绘制泰勒涡的大小、因变量ψ,ζ、V、速度分布和扭矩来分析流动。对观测到的流态进行了理论和实验的比较。
SummaryThe rotationally symmetric flow between two concentric rotating spheres is investigated both theoretically and experimentally. The non-uniqueness of the supercritical flow exhibits three different modes with zero, one and two Taylor vortices in each hemisphere. These modes are realized by different accelerations of the inner sphere from the state at rest. A initial value code, based on a finite difference method, is used for the numerical simulation. The existence regions of the different supercritical flows are connected with symmetric and asymmetric transitions. It is found, that a steady state can exist asymmetric with respect to the equator. The flow is analyzed by plotting the size of the Taylor vortices, the depending variables ψ, ζ,V, the velocity distributions and the torque. A comparison between theory and experiments for the observed modes of flow is given.