Simple rotational flows
Simple rotational flows
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简单旋流
DOI：
10.1017/s0022112077000937
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发表时间：
1977
影响因子：
3.7
通讯作者：
J. A. Shercliff
中科院分区：
文献类型：
--
作者：
J. A. Shercliff
本文开发并讨论了流体运动非线性方程可用解析解的一些新补充。运动是稳定的，二维的，没有粘性力或其他旋转力（尽管这些力在任何启动过程中都很重要）。流体密度是恒定的。解分为两组，分别参考笛卡尔坐标和极坐标。在这两个流函数是可分离的形式，即表示为两个功能的产品，每个依赖于一个坐标。一个显着的各种运动被揭示出来。那些在物理上最重要的被描述为弯曲（从一个直线流到另一个直线流的快速过渡）或环路（封闭的，非圆形的，涡旋型的流）。壁面边界层或不稳定性的影响未作探讨。本文最后提到的一些初步实验的环路流动，其中所有的流线是椭圆和一些讨论的适用性弯曲流。对轴对称流和可压缩流的推广也作了简要的介绍。
The paper develops and discusses some new additions to the available stock of analytical solutions of the nonlinear equations of fluid motion. The motions are steady, two-dimensional and devoid of viscous or other rotational forces (although such forces must have been significant during any starting process). The fluid density is constant. The solutions are in two groups, referred respectively to Cartesian and polar co-ordinates. In both the stream function is of separable form, i.e. expressible as a product of two functions, each dependent on one co-ordinate. A remarkable variety of motions is revealed. Those that are most significant physically are described as bends (rapid transitions from one rectilinear flow to another) or as loops (closed, non-circular, vortex-type flows). The effects of boundary layers at walls or instability are not explored. The paper closes with a mention of some preliminary experiments on loop flows in which all streamlines are ellipses and some discussion of the applicability of bend flows. Generalizations to axisymmetric flows and compressible flows are also mentioned briefly.