大学物理 ›› 2023, Vol. 42 ›› Issue (8): 43-.doi: 10.16854/j.cnki.1000-0712.220515

• 大学生园地 • 上一篇    下一篇

“水螺旋”现象的二维液滴形状相变模型

孙钰雯,施维佳,匡砚斌,张杰,王春梅,夏成杰   

  1. 华东师范大学物理与电子科学学院,上海200241
  • 收稿日期:2022-10-17 修回日期:2022-12-12 出版日期:2023-08-28 发布日期:2023-09-01
  • 通讯作者: 夏成杰,E-mail: cjxia@phy.ecnu.edu.cn
  • 作者简介:孙钰雯(2002—),女,上海人,华东师范大学物理与电子科学学院2021级本科生.

A two-dimensional droplet shape phase transition model for  the “water spiral” phenomena

SUN Yu-wen, SHI Wei-jia, KUANG Yan-bin, ZHANG Jie, WANG Chun-mei, XIA Cheng-jie   

  1. School of physics and Electronic Science, East China Normal University, Shanghai 200241, China
  • Received:2022-10-17 Revised:2022-12-12 Online:2023-08-28 Published:2023-09-01

摘要: 众所周知,表面张力对液滴或水柱的形状及其演化规律起到关键作用,但由于流体力学模型的复杂性,一些常见的螺旋状水柱现象的具体机制并不明晰. 在这里,我们研究柱状射流的二维液滴模型,通过分析转动中二维液滴的离心势能、表面能、以及表面波振动的特征模式,解释了链状与带状水螺旋的形成原理. 理论模型表明,这两种水螺旋现象各自对应于一个普适的液滴形状“相变”前后的不同状态. 我们用简单的实验验证了此模型在一定参数范围内的合理性. 

关键词: 射流, 表面张力, 二级相变

Abstract:  It is well known that surface tension plays a crucial role in determining the shape and evolution of a droplet or a liquid jet. However, the specific mechanisms of some common “water spiral” phenomena remain elusive. Here, we study a two-dimensional droplet model for a liquid jet to explain the formation of water spirals by calculating the surface energy, centrifugal potential, and surface wave eigenmodes of a vibrating and rotating droplet. We find that the commonly-observed chain-like and belt-like water spirals correspond to states before and after a phase transition of the droplet,s shape, respectively. The rationality of the current model within a certain range of parameters is justified with simple experiments.

Key words:  liquid jet, surface tension, second-order phase transition