高频调幅交变电磁场中金属液滴悬浮振荡特性的数值模拟分析

doi:10.12066/j.issn.1007-2861.1815

上海大学学报(自然科学版) ›› 2018, Vol. 24 ›› Issue (2): 249-256.doi: 10.12066/j.issn.1007-2861.1815

高频调幅交变电磁场中金属液滴悬浮振荡特性的数值模拟分析

朱宏达¹, 雷作胜², 郭加宏¹()

1. 上海大学上海市应用数学和力学研究所, 上海200072
2. 上海大学特殊钢冶金与制备国家重点实验室, 上海200072

收稿日期:2016-05-17 出版日期:2018-04-30 发布日期:2018-05-07
通讯作者: 郭加宏 E-mail:jhguo@staff.shu.edu.cn
基金资助:
国家自然科学基金资助项目(11372174);国家自然科学基金资助项目(51274137)

Numerical simulation on characteristics of levitated oscillating liquid metal drop in high frequency amplitude-modulated electromagnetic field

ZHU Hongda¹, LEI Zuosheng², GUO Jiahong¹()

1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
2. State Key Laboratory of Advanced Special Steel, Shanghai University, Shanghai 200072, China

Received:2016-05-17 Online:2018-04-30 Published:2018-05-07
Contact: GUO Jiahong E-mail:jhguo@staff.shu.edu.cn

摘要/Abstract

摘要：

根据高频调幅交变电磁场中金属液滴悬浮振荡的实验结果, 构建了二维数值计算模型, 采用任意拉格朗日-欧拉 (arbitrary Lagrangian-Eulerian, ALE) 方法数值模拟了液滴自由表面的振荡. 模拟结果获得了高频调幅电磁场中悬浮振荡液滴的内部磁场、流场和自由表面形状. 对液滴自由表面特征点的位移随时间的变化过程进行了傅里叶分析, 获得了液滴在不同调制频率的交变电磁场中振荡的频谱, 发现了高频调幅电磁场中金属液滴悬浮振荡的频谱特性. 数值结果与实验和理论分析结果定性吻合.

关键词: 高频调幅电磁场, 金属液滴, 悬浮振荡, 数值模拟, 频谱分析

Abstract:

Based on the experiment results of oscillation of a levitated liquid metal drop in a high frequency amplitude-modulated electromagnetic field, a two-dimensional axisymmetric numerical model for the flow of the drop is developed. The arbitrary Lagrangian-Eulerian (ALE) method is used to calculate free surface of the oscillating drop. The magnetic field, the flow field and the shape of the free surface of the droplet oscillating in a high frequency amplitude-modulated electromagnetic field are obtained by numerical simulation. By analyzing displacement of the characteristic point on the oscillating droplet over time using Fourier analysis, frequency spectrum characteristics of the drop in a high frequency amplitude-modulated electromagnetic field is obtained. Numerical results agree fairly well with the experimental and theoretical results.

Key words: high frequency amplitude-modulated electromagnetic field, metal drop, levitated oscillation, numerical simulation, spectrum analysis

中图分类号:

O361

朱宏达, 雷作胜, 郭加宏. 高频调幅交变电磁场中金属液滴悬浮振荡特性的数值模拟分析[J]. 上海大学学报(自然科学版), 2018, 24(2): 249-256.

ZHU Hongda, LEI Zuosheng, GUO Jiahong. Numerical simulation on characteristics of levitated oscillating liquid metal drop in high frequency amplitude-modulated electromagnetic field[J]. Journal of Shanghai University（Natural Science Edition）, 2018, 24(2): 249-256.

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高频调幅交变电磁场中金属液滴悬浮振荡特性的数值模拟分析

Numerical simulation on characteristics of levitated oscillating liquid metal drop in high frequency amplitude-modulated electromagnetic field

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