It is shown that a large class of rotating disks flows described by an exact solution of the Navier–Stokes equations can be mapped on the mechanical motion of a point mass in the complex domain. The mathematical procedure, the physical features and the advantages of the point-mechanical approach are presented for von Kármán’s classical swirling flow and its magneto-hydrodynamic counterpart in detail. Further applications to axisymmetric flows are also addressed shortly. There turns out that the energy balance equation of the analogous particle motion, the corresponding Galilei formula and other familiar concepts of the point-mechanics, can serve as useful tools in the description of several viscous flows. It is achieved thus that mechanics of rotating flows can be interpreted from the mechanics of a point mass. At the same time the approach illustrates how three-dimensional phenomena can be connected to one-dimensional ones in the complex domain.

结果表明，由Navier–Stokes方程的精确解描述的一大类旋转盘流可以映射到复域中点质量的机械运动上。详细介绍了冯·卡尔曼的经典旋流及其磁流体动力学的数学过程，物理特征和点机械方法的优点。不久还将解决对轴对称流的进一步应用。事实证明，类似粒子运动的能量平衡方程，相应的Galilei公式以及点力学的其他熟悉概念，可以用作描述几种粘性流的有用工具。因此，可以实现从点质量的力学来解释旋转流的力学。