The effect of cylinder rotation and blockage ratio on the onset of periodic flows
The effect of cylinder rotation and blockage ratio on the onset of periodic flows
复制标题
气缸旋转和堵塞率对周期性流动开始的影响
DOI：
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发表时间：
2004
影响因子：
3.7
通讯作者：
S. Tavener
中科院分区：
文献类型：
--
作者：
K. Cliffe;S. Tavener
二维定常层流经过固定圆柱时，随着流量的增加，在超临界霍普夫分岔点处失去稳定性，成为周期流。鲜为人知的是，在发生不稳定的临界流量时，可以通过使圆柱体绕其自身的轴旋转而增加，而在一定的流量下，足够大的旋转可以完全消除涡街。我们限制了两个平行壁面之间的流动，并报告了圆柱旋转对Hopf分岔点处雷诺数和频率的影响。两个新的，有些令人惊讶的结果是，对于大堵塞比的固定圆柱体，稳定对称流动可以在临界雷诺数以上重新稳定，并且稳定不对称流动存在。
The steady two-dimensional laminar flow past a stationary cylinder is well known to lose stability to a periodic flow at a supercritical Hopf bifurcation point as the flow rate is increased. It is less well known that the critical flow rate at which the instability occurs can be increased by rotating the cylinder about is own axis, and that at a fixed flow rate the vortex street can be eliminated entirely by sufficiently large rotation. We confine the flow between two parallel walls and report the effect of cylinder rotation on the Reynolds number and frequency at the Hopf bifurcation point. Two new, and somewhat surprising, results are that for stationary cylinders at large blockage ratios, the steady symmetric flow can restabilize above a critical Reynolds number, and that steady asymmetric flows exist.