大学物理 ›› 2024, Vol. 43 ›› Issue (5): 55-.doi: 10.16854/j.cnki.1000-0712.230270

• 大学生园地 • 上一篇    下一篇

黏性液膜在水平旋转柱体外的稳态行为

林蕴芊,雷家睿,马宇翰   

  1. 北京师范大学 物理学系,北京100875
  • 收稿日期:2023-07-22 修回日期:2023-09-05 出版日期:2024-06-20 发布日期:2024-07-05
  • 作者简介:林蕴芊(2003—),女,四川成都人,北京师范大学物理学系2021级本科生
  • 基金资助:
    国家自然科学基金(1230050468)资助

The motion of vicious liquid film coating on a horizontal hotating cylinder

LIN Yun-qian, LEI Jia-rui, MA Yu-han   

  1. Department of Physics, Beijing Normal University, Beijing 100875, China
  • Received:2023-07-22 Revised:2023-09-05 Online:2024-06-20 Published:2024-07-05

摘要: 绕水平轴旋转的圆柱杆外表面上黏性液体会随着杆的旋转趋于稳态. 本文研究了这一稳态对应的最大液体质量及其在不同条件下丰富的几何形状. 在将液体流动近似视为斯托克斯流的前提下,杆上液体的单位最大载荷量W关于液体参数(密度ρ、黏度μ)及杆参数(转速Ω、半径a)的依赖关系为W∝ρμΩa3. 本文设计的控制变量实验表明,这一关系在较小雷诺数情况下 (Re≤10)成立. 在较高雷诺数(Re>10)区域,黏性液体的惯性效应是导致理论预测与实验结果出现偏差的主要原因. 本文进一步探究了液膜横截面形状随杆转速变化的现象,实验观察到了椭圆、叶状、单勾和多勾形状的液膜,并定性解释了其形成原因. 此外,实验中还发现了圆柱体轴向上形成液环的现象,液环数量与杆转速、杆半径成正相关. 

关键词: 黏性液体, 液膜, 雷诺数

Abstract: In this paper, the motion of viscious liquid outside a rotation cylindrical rod is studied. By conducting controlling variable experiments, Moffat,s theoretical formula is verified to some extent. It is proposed that the inertial effect at a relatively high Reynold number (>10) causes the difference between theoretical and experimental results. The periodic changes in cross-sectional shape of liquid film with respect to angular velocity is furthur studied, and images of the shape of liquid film at different angular velocities are obtained. Meanwhile, the phenomenon of forming liquid rings along the axial direction of cylindrical rod is quanlitatively studied, and the relationship between the number of rings and several factors is given.

Key words: viscous liquid, fluid film, Reynolds number