振动条件下液体内部气泡下沉现象研究

doi:10.6052/1000-0879-19-450

力学与实践 ›› 2020, Vol. 42 ›› Issue (3): 282-288.DOI: 10.6052/1000-0879-19-450

振动条件下液体内部气泡下沉现象研究

张旭^*^,^†, 李晋斌^*^,¹⁾()

^*南京航空航天大学理学院,南京210016
^†南京航空航天大学自动化学院,南京210016

收稿日期:2019-12-02 出版日期:2020-06-20 发布日期:2020-06-30
通讯作者: 李晋斌
作者简介:1) 李晋斌,副教授,主要研究方向为凝聚态物理和分析力学。 E-mail： jinbin@nuaa.edu.cn

STUDY ON SUBSIDENCE OF THE BUBBLES INSIDE THE VIBRATING LIQUID UNDER THE CONDITION OF VIBRATION

ZHANG Xu^*^,^†, LI Jinbin^*^,¹⁾()

^*College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
^†College of Automation, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Received:2019-12-02 Online:2020-06-20 Published:2020-06-30
Contact: LI Jinbin

摘要/Abstract

摘要：

本文从流体动力学角度探究气泡下沉现象的机理,对垂直振动圆柱容器中的气泡下沉行为进行了系统研究。根据附加质量以及气泡压缩性概念,建立出现下沉效应的可压缩性气泡数学模型,并通过分离变量法分析气泡下沉的临界位移以及运动速度。研究表明,正弦激励振幅以及频率是影响气泡下沉条件的重要因素,决定了临界位移与运动速度的大小,且振幅和频率越大,临界位移越小,气泡越容易下沉。

关键词: 可压缩性气泡, 下沉条件, 正弦振动, 分离变量法, 临界位移

Abstract:

The mechanism of the bubble subsidence is studied based on hydrodynamics, focusing on the bubble subsidence behavior in vertically vibrating cylindrical vessels. With the consideration of additional mass and bubble compressibility, a mathematical model of the compressible bubble with subsidence effect is established, and the critical displacement and velocity of the bubble subsidence are obtained by the separating variable method. The results show that the amplitude and the frequency of the sinusoidal excitation are the important factors affecting the bubble subsidence, and they are closely related with the critical displacement and velocity, and the larger the amplitude and the frequency, the smaller the critical displacement, the easier the bubble sinks.

Key words: compressibility bubble, subsidence condition, sinusoidal vibration, separation of variables, critical displacement

中图分类号:

O351.2

张旭, 李晋斌. 振动条件下液体内部气泡下沉现象研究[J]. 力学与实践, 2020, 42(3): 282-288.

ZHANG Xu, LI Jinbin. STUDY ON SUBSIDENCE OF THE BUBBLES INSIDE THE VIBRATING LIQUID UNDER THE CONDITION OF VIBRATION[J]. Mechanics in Engineering, 2020, 42(3): 282-288.

图/表 9

图1 气泡形状随正弦激励的变化

图2 气泡下沉运动数值模拟曲线

图3 气泡下沉、悬浮、上升时间-位移数值模拟曲线

图4 临界位移$X_0 $与振幅$A$、频率$f$的关系曲线

图5 不同振幅、频率下气泡下沉时间-位移运动曲线

图6 气泡下沉现象Tracker分析图

图7 气泡下沉理论与实验的时间-位移曲线

图8 气泡与激励运动的时间-位移对比曲线

图9 不同激励振幅$A$、频率$f$下气泡临界位移$X_0$变化曲线

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振动条件下液体内部气泡下沉现象研究

STUDY ON SUBSIDENCE OF THE BUBBLES INSIDE THE VIBRATING LIQUID UNDER THE CONDITION OF VIBRATION

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