转动一根裹有黏性流体(如蜂蜜)的杆,杆上可以保留部分液体不滴落. 针对此现象,之前理论研究大多基于N-S方程求解,无法直观解释现象发生的物理机理. 本文在理论上创新性地采用类似量纲分析的方法,通过受力分析,避免了复杂冗长的流体力学方程求解,得到了由重力、黏性力、离心力、表面张力共同作用、交互主导的简洁理论模型;实验上,通过搭建稳定装置及合理控制变量,得到自洽的实验数据. 理论分析与实验结果吻合度高,直观解释了转动杆上黏性流体不滴落的物理本质与关键因素.
By turning a rod covered with a viscous liquid (e.g.. honey), some of the liquid can be retained on the rod without dripping. For this phenomenon, most previous theories are based on the N-S equations, which cannot clearly explain the physical mechanisms of the phenomenon. In this paper, a simple theoretical model of the phenomenon dominated by viscous force, centrifugal force, gravity and surface tension is obtained through a simple force analysis and a method similar to dimensional analysis, which avoids the complex and lengthy solution of the hydrodynamic equations; Experimentally, self-consistent experimental data are obtained through the construction of a stable device and reasonable control of variables. The experimental results are in good contrast with the theory, and the physical mechanisms and key factors of the non-dripping of viscous liquid on the rotating rod are explained intuitively. The theoretical analysis is in good agreement with the experimental results, and the physical nature and key factors for the non-dripping of viscous liquids on rotating rods are explained intuitively.