大学物理 ›› 2018, Vol. 37 ›› Issue (4): 37-40.doi: 10.16854 /j.cnki.1000-0712.170140

• 物理实验 • 上一篇    下一篇

三角形毛细管内毛细现象的数值模拟

卢礼萍,魏良淑,蒋夕平   

  1. 南京农业大学理学院,江苏南京210095
  • 收稿日期:2017-03-22 修回日期:2017-08-15 出版日期:2018-04-21 发布日期:2018-04-21
  • 作者简介:卢礼萍( 1977—) ,女,江苏南京人,南京农业大学理学院副教授,博士,主要从事大学物理教学研究工
  • 基金资助:
    南京农业大学教育教改项目( 2015Y040) 资助

Numerical simulation of capillarity in triangular capillary

LU Li-ping,WEI Liang-shu, JIANG Xi-ping   

  1. College of Science,Nanjing Agricultural University,Nanjing,Jiangsu 210095,China
  • Received:2017-03-22 Revised:2017-08-15 Online:2018-04-21 Published:2018-04-21

摘要: 从弯曲液体的表面张力出发,研究了三角形毛细管内的毛细现象.利用Matlab 数值模拟,讨论了不同形状液面下竖直方向的表面张力,液面上升高度与边长之间的关系,毛细管内液柱上升的速度等相关问题.结果表明,首先相同的口径下,三角形毛细管内液面上升高度要比圆形毛细管大; 其次讨论液面上升速度时,必须要考虑摩擦力的影响,才能与实际情况一致.

关键词: 毛细现象, 表面张力, 三角形毛细管, 速度

Abstract: Based on the surface tension of curved liquid surface,the capillarity in triangular capillary is studied. Using Matlab numerical simulation,the surface tensions of two kinds for liquid surface with different contact angle functions,the height and velocity of liquid in the capillaries are calculated. The results show that as the same caliber,the height in triangular capillary is larger than that in circular capillary. Considering the impact of friction f = 1.732×10-2y N the velocity of liquid in capillary is consistent with the actual situation.

Key words: capillarity, surface tension, triangular capillary, velocity