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“水螺旋”现象的二维液滴形状相变模型

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  • 华东师范大学物理与电子科学学院,上海200241
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.

收稿日期: 2022-10-17

  修回日期: 2022-12-12

  网络出版日期: 2023-09-01

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

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  • School of physics and Electronic Science, East China Normal University, Shanghai 200241, China

Received date: 2022-10-17

  Revised date: 2022-12-12

  Online 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. 

本文引用格式

孙钰雯, 施维佳, 匡砚斌, 张杰, 王春梅, 夏成杰 . “水螺旋”现象的二维液滴形状相变模型[J]. 大学物理, 2023 , 42(8) : 43 . DOI: 10.16854/j.cnki.1000-0712.220515

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.

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