Symmetry breaking of the flow in a cylinder driven by a rotating end wall

Symmetry breaking of the flow in a cylinder driven by a rotating end wall
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由旋转端壁驱动的圆筒内流动的对称性破缺

DOI:
10.1063/1.1313550
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发表时间:
2000
期刊:
影响因子:
4.6
通讯作者:
J. Lopez
J. Lopez
中科院分区:
工程技术2区
文献类型:
--
作者:
H. Blackburn;J. Lopez

文献摘要

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在高宽比H/R=2.5时,圆柱形容器内旋转端壁驱动的流动与雷诺数Re=ΩR2/ν>2700是时间相关的。对于雷诺数高达4000的情况,已经确定了三个解分支,我们在每个分支上检查一个解。当Re=3000时,流动是轴对称的时间周期流动。在Re=3500处,流动是低频调制的准周期流动,并支持方位波数k=5的调制旋转波。在Re=4000处,流动是时间周期的,其振荡模式与Re=3500时有本质上的不同。它还支持k=6的调制旋转波。非轴对称模动能的峰值与内部的喷射状方位向流有关。
The flow driven by a rotating end wall in a cylindrical container with aspect ratio H/R=2.5 is time dependent for Reynolds numbers Re=ΩR2/ν>2700. For Reynolds numbers up to 4000 three solution branches have been identified, and we examine a solution on each one. At Re=3000, the flow is axisymmetric and time periodic. At Re=3500, the flow is quasiperiodic with a low-frequency modulation and supports a modulated rotating wave with azimuthal wave number k=5. At Re=4000, the flow is time periodic with a qualitatively different mode of oscillation to that at Re=3500. It also supports a modulated rotating wave, with k=6. The peak kinetic energy of the nonaxisymmetric modes is associated with the jet-like azimuthal flow in the interior.