On the flow of rotating fluid past bodies in a pipe
On the flow of rotating fluid past bodies in a pipe
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关于旋转流体流经管道中的物体
DOI：
10.1098/rspa.1956.0007
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发表时间：
1956
期刊：
影响因子：
--
通讯作者：
L. Fraenkel
中科院分区：
文献类型：
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作者：
L. Fraenkel
本文讨论旋转的不可压缩流体通过管道的收缩和膨胀或管道轴上的旋转体的流动。假设远上游的流动具有恒定的轴向速度和绕管轴的恒定角速度。流场由管壁上的环形源或管轴上的点源的流函数构造。当角速度超过临界值时，这些解决方案涉及波动。点源解以两种形式表示，第一种形式在距源一定距离时有用，而第二种则更清楚地显示奇点的性质，并导致相应的双峰与泰勒双峰解（1922）的比较。给出了一些流线图和速度分布，并讨论了旋转流体的物理行为。
This paper deals with the flow of a rotating, incompressible fluid through contractions and expansions of a pipe, or past bodies of revolution on the pipe axis. The flow far upstream is assumed to have constant axial velocity, and constant angular velocity about the pipe axis. The flow fields are constructed from the stream functions of a ring source on the pipe wall or of a point source on the pipe axis. These solutions involve wave motions when the angular velocity exceeds a critical value. The point-source solution is expressed in two forms, the first of which is useful some distance from the source, while the second displays more clearly the nature of the singularity and leads to a comparison of the corresponding doublet with Taylor’s doublet solution (1922). Some streamline pictures and velocity distributions are presented, and the physical behaviour of a rotating fluid is discussed.