中国科技核心期刊

中文核心期刊

CSCD来源期刊

空间控制技术与应用 ›› 2024, Vol. 50 ›› Issue (2): 105-116.doi: 10.3969/j.issn.1674 1579.2024.02.011

• 论文与报告 • 上一篇    下一篇

声振和静电场耦合作用下漏电介质平面液膜的线性不稳定性

  

  1. 北京交通大学
  • 出版日期:2024-04-26 发布日期:2024-05-20
  • 基金资助:
    国家自然科学基金青年科学基金项目(12302325)、河北省自然科学基金青年项目(A2023105004)、北京市科协青年人才托举工程和先进空间推进技术实验室和北京市高效能及绿色宇航推进工程技术研究中心开放基金课题资助(LabASP 2022 05)

Linear Instability of a Leaky Dielectric Planar Liquid Film Under the Coupling Effect of Acoustic Vibration and Electrostatic Field

  • Online:2024-04-26 Published:2024-05-20

摘要: 在超声电喷推力器中,声振与电场力共同作用使得液膜界面失稳破裂,进而发射液滴并产生推力.为了揭示超声电喷推力器中液膜初始失稳的物理机制,针对超声与电场力耦合作用下液膜的线性不稳定性进行了理论研究.基于Floquet理论,对声振和静电场耦合作用下漏电介质平面液膜进行了线性不稳定性分析,求解了扰动增长率、频率与波数之间的色散关系,通过绘制色散曲线,获得电学、振荡及物性参数对线性失稳的影响规律.结果表明,根据极板间距与液膜厚度之比的不同,液体电导率和介电常数对不稳定性的影响规律会发生改变.当参数不稳定区域增长率较大时,电场力的增强会促进失稳,而当参数不稳定区域增长率较小时,电场力的增强会抑制失稳.

关键词: 超声电喷, 漏电介质, 静电场, 声振, 参数不稳定

Abstract: In ultrasonic aided electrospray thrusters, liquid films are destabilized and broken up under the effect of acoustic vibration and electrostatic field, then droplets emitted and thrust produced. In order to reveal the physical mechanism of initial instability of liquid films in ultrasonic aided electrospray thrusters, the linear instability of liquid films under the coupling effect of ultrasonic and electric field force is studied theoretically. Based on the Floquet theory, the linear instability of the planar liquid film under the coupling effect of acoustic vibration and electrostatic field is analyzed, and the dispersion relationship among the rate of disturbance growth, frequency and wavenumber is solved. According to the dispersion curves, the influence of electrical, oscillation and physical parameters on the linear instability is obtained. The results show that the effect of the liquid conductivity and dielectric constant on the instability can change with the ratio of the plate spacing to the liquid film thickness. When the growth rate of the parameter unstable region is large, the increase of the electric field force will promote the instability, and when the growth rate of the parameter unstable region is small, the increase of the electric field force will restrain the instability.

Key words: ultrasonic aided electrospray, leaky dielectric, electrostatic field, acoustic oscillations, parametric instability

中图分类号: 

  • V448.22