The unsteady flow within a spinning cylinder
The unsteady flow within a spinning cylinder
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旋转圆筒内的不稳定流动
DOI：
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发表时间：
1964
影响因子：
3.7
通讯作者：
E. Wedemeyer
中科院分区：
文献类型：
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作者：
E. Wedemeyer
对突然启动并绕其轴线旋转的有限长度圆柱体内液体的非定常流动进行了理论分析。研究发现，由圆柱形容器端壁引起的二次流对液体中旋转的产生具有很强的影响。在端壁附近，流体运动的特征是边界层流，可以是层流或湍流。边界层内的流体比距端壁较远的地方旋转得更快，因此在离心力的作用下被径向向外抛掷。边界层中的径向流出在旋转液体内产生缓慢的二次运动。由于二次流动，角动量从壁到内部的传递是通过对流而不是扩散来完成的。对层流和湍流端壁边界层均进行了处理。将理论结果与实验观察结果进行比较，结果吻合良好。
A theoretical analysis is given of the unsteady flow of a liquid within a cylinder of finite length started suddenly so as to spin about its axis. It is found that a secondary flow, caused by the end walls of the cylindrical container, has a strong effect on the generation of spin in the liquid. In the vicinity of the end walls the fluid motion is characterized by a boundary-layer flow, which can be either laminar or turbulent. The fluid within the boundary layers rotates faster than that at a large distance from the end walls, and therefore is thrown, by centrifugal forces, radially outwards. The radial outflow in the boundary layer creates a slow secondary motion within the spinning liquid. Due to the secondary flow, the transport of angular momentum from the walls to the interior is accomplished by convection rather than diffusion. A treatment is given for both laminar and turbulent end-wall boundary layers. The theoretical results are compared with experimental observations and good agreement is found.