收稿日期: 2019-11-02
网络出版日期: 2019-12-06
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)
Three-dimensional numerical simulations of suspended metal droplet oscillations in high-frequency, amplitude-modulated, alternating electromagnetic fields
Received date: 2019-11-02
Online published: 2019-12-06
采用有限元方法模拟高频调幅交变电磁场以及液滴内流体流动, 金属液滴自由界面的追踪采用任意拉格朗日欧拉(arbitrary Lagrange-Euler, ALE)方法. 数值模拟得到了高频调幅交变电磁场、金属液滴内部液体流动和液滴表面形变的动态行为. 数值结果表明: 在高频调幅交变电磁场中, 金属液滴所受洛伦兹力集中在液滴内部近表面区域, 液滴受近似表面力的洛伦兹力激励; 在表面张力和重力的共同作用下呈周期性振荡, 液滴的振荡幅度起伏变化, 具备参数振荡特征. 对液滴振荡的频谱分析结果显示, 液滴振荡的主频和高频调幅交变电磁场的调制波频率相同, 在其倍频处也会出现较大峰值, 液滴振荡的频谱特征与高频调幅交变电磁场中金属液滴所受洛伦兹力的频率特性吻合.
连景杰, 郭加宏, 雷作胜 . 高频调幅交变电磁场金属液滴悬浮振荡的 3 维数值模拟[J]. 上海大学学报(自然科学版), 2021 , 27(5) : 879 -890 . DOI: 10.12066/j.issn.1007-2861.2201
A three-dimensional numerical model for the oscillations of suspended metal droplets in a high-frequency, amplitude-modulated electromagnetic field is built. Numerical simulations of a suspended metal droplet oscillating in the high-frequency, amplitude-modulated electromagnetic field are also performed. The high-frequency, amplitude-modulated electromagnetic field and the flow of the liquid metal droplet are simulated via the finite element method. The free surface of the liquid metal droplet is calculated using the arbitrary Lagrange-Euler (ALE) method. The high-frequency, amplitude- modulated electromagnetic field; the flow of the liquid metal droplet; and the free surface of the oscillating droplet are determined numerically. The shape of the oscillating droplet, as obtained via the numerical simulation, is in good agreement with the experimental results. Furthermore, frequency analyses based on the numerical results of the oscillation of the droplet are in good agreement with the theoretical calculations.
| [1] | Rayleigh L. On the capillary phenomena of jets[J]. Proceedings of the Royal Society of London, 1879, 29: 71-97. |
| [2] | Shen C L, Xie W J, Wei B B. Parametrically excited sectorial oscillation of liquid drops floating in ultrasound[J]. Physical Review E, 2010. DOI: 10.1103/PhysRevE.81.046305. |
| [3] | Yan Z L, Xie W J, Geng D L, et al. The ninth-mode sectorial oscillation of acoustically levitated drops[J]. Chinese Science Bulletin, 2011, 56(31): 3284-3288. |
| [4] | 沈昌乐, 解文军, 魏炳波. 声悬浮液滴扇谐振荡的数字图像分析与表面张力测定[J]. 中国科学: 物理学, 力学, 天文学, 2010(10): 1240-1246. |
| [5] | Fraser M E, Lu W, Hamielec A, et al. Surface tension measurements on pure liquid iron and nickel by an oscillating drop technique[J]. Metallurgical and Materials Transactions B, 1971, 2(3): 817-823. |
| [6] | Kocourek V, Karcher C, Conrath M, et al. Stability of liquid metal drops affected by a high-frequency magnetic field[J]. Physical Review E, 2006, 74(2): 263-310. |
| [7] | Cummings D L, Blackbum A. Oscillations of magnetically levitated asphericaldroplets[J]. J Fluid Mech, 1991, 224: 395-416. |
| [8] | Egry I. Thermophysical property measurements in microgravity[J]. High Temperatures-High Pressures, 2000, 32(2): 127-134. |
| [9] | 王飞龙, 孙一宁, 孙志斌, 等. 基于 PSD 的静电悬浮液滴振荡技术在表面张力与黏度测量中的应用[J]. 仪表技术与传感器, 2016, 12: 173-175. |
| [9] | Wang F L, Sun Y N, Sun Z B, et al. Application of electrostatic levitation droplet oscillation technique in surface tension and viscosity measurement based on PSD[J]. Instrument Technique and Sensor, 2016, 12: 173-175. |
| [10] | Jorge T, Armando B, Dominique L, et al. Numerical simulations of freely oscillatingdrops[C]// Computational and Experimental Fluid Mechanics with Applications to Physics, Engineering and the Environment. 2014: 335-343. |
| [11] | 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): 249-255. |
| [11] | Zhu H D, Lei Z S, Guo J H. 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): 249-255. |
| [12] | Kaushal S, Robert W H, Jonghyun L. Oscillation of a zirconium droplet—experiment and simulations[C]// Materials Processing Fundamentals. 2017: 65-72. |
| [13] | Perrier D, Fautrelle Y, Etay J. Experimental and theoretical studies of the motion generated by a two-frequency magnetic field at the free surface of a gallium pool[J]. Metallurgical and Materials Transactions, 2003, 34: 669-678. |
/
| 〈 |
|
〉 |
