On high-frequency oscillatory viscous flows
On high-frequency oscillatory viscous flows
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DOI：
10.1017/s0022112068000583
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发表时间：
1968-04
影响因子：
3.7
通讯作者：
Chang‐Yi Wang
中科院分区：
文献类型：
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作者：
Chang‐Yi Wang
通过稳定部分和非稳定部分的分离来研究控制高频振荡粘性流的方程。研究了所有雷诺数范围，并确定了雷诺应力产生的稳定流的数量级。采用内、外膨胀法研究了低雷诺数振荡圆柱体。圆柱体附近存在稳定的再循环单元。结果与实验非常吻合。得到了流函数和阻力系数的解析表达式。详细研究了流向无限板的振荡流。稳定流是由雷诺应力的稳定分量引起的。压力梯度总是导致固体边界附近的反向流动。
The equations governing high-frequency oscillatory viscous flows are investigated through the separation of the steady and the unsteady parts. All Reynolds number ranges are studied and the orders of magnitude of the steady streaming produced by the Reynolds stresses are established. The oscillating circular cylinder at low Reynolds numbers is studied through the method of inner and outer expansions. Steady recirculating cells exist near the cylinder. The results compare very well with experiments. Analytic expressions for the streamfunction and the drag coefficient are obtained. The oscillating flow towards an infinite plate is investigated in detail. The steady streaming is caused by the steady component of the Reynolds stress. The pressure gradient always causes reverse flow near the solid boundary.