Stability of Taylor–Couette flow in a finite-length cavity with radial throughflow

Stability of Taylor–Couette flow in a finite-length cavity with radial throughflow
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DOI:
10.1063/1.2884835
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发表时间:
2008-03
期刊:
影响因子:
4.6
通讯作者:
E. Serre;M. Sprague;Richard M. Lueptow
E. Serre;M. Sprague;Richard M. Lueptow
中科院分区:
工程技术2区
文献类型:
--
作者:
E. Serre;M. Sprague;Richard M. Lueptow

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线性稳定性分析预测,泰勒-库埃特系统中的径向通流将改变流动的稳定性,但稳定流动的基本物理机制尚不清楚。本文采用三维谱方法对有限长空腔内的泰勒涡和波动涡进行了直接数值模拟,研究了径向流入和流出对流动的影响。数值模拟结果与线性稳定性预测一致,即径向流入和强径向流出具有稳定作用,而弱径向流出使系统略微不稳定。小的径向流出速度增强了泰勒涡的强度,导致基流的不稳定,而强的径向流出和径向流入降低了涡的强度,从而稳定了系统。向波浪形涡流的过渡不受小径向流出的影响,但对于径向流入是稳定的。对于强径向出流,波动涡流动包含局部位错。
Linear stability analysis predicts that a radial throughflow in a Taylor–Couette system will alter the stability of the flow, but the underlying physics for the stabilization of the flow is unclear. We investigate the impact of radial inflow and outflow on Taylor vortex flow and wavy vortex flow in a finite-length cavity via direct numerical simulation using a three-dimensional spectral method. The numerical simulations are consistent with linear stability predictions in that radial inflow and strong radial outflow have a stabilizing effect, while weak radial outflow destabilizes the system slightly. A small radial outflow velocity enhances the strength of the Taylor vortices resulting in destabilization of the base flow, whereas strong radial outflow and radial inflow reduce vortex strength, thus stabilizing the system. The transition to wavy vortex flow is unaffected by small radial outflow, but is stabilized for radial inflow. For strong radial outflow the wavy vortex flow includes localized dislocatio...