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横向交流电场下液膜参数不稳定性分析

王铁晗 富庆飞 杨立军

王铁晗, 富庆飞, 杨立军. 横向交流电场下液膜参数不稳定性分析[J]. 力学学报, 2021, 53(2): 352-361. doi: 10.6052/0459-1879-20-300
引用本文: 王铁晗, 富庆飞, 杨立军. 横向交流电场下液膜参数不稳定性分析[J]. 力学学报, 2021, 53(2): 352-361. doi: 10.6052/0459-1879-20-300
Wang Tiehan, Fu Qingfei, Yang Lijun. PARAMETRIC INSTABILITY OF LIQUID SHEETS SUBJECTED TO A TRANSVERSE AC ELECTRIC FIELD[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(2): 352-361. doi: 10.6052/0459-1879-20-300
Citation: Wang Tiehan, Fu Qingfei, Yang Lijun. PARAMETRIC INSTABILITY OF LIQUID SHEETS SUBJECTED TO A TRANSVERSE AC ELECTRIC FIELD[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(2): 352-361. doi: 10.6052/0459-1879-20-300

横向交流电场下液膜参数不稳定性分析

doi: 10.6052/0459-1879-20-300
基金项目: 1) 国家自然科学基金资助项目(11922201)
详细信息
    作者简介:

    2) 富庆飞, 研究员, 主要研究方向: 火箭发动机喷雾燃烧. E-mail: fuqingfei@buaa.edu.cn

    通讯作者:

    富庆飞

  • 中图分类号: O35

PARAMETRIC INSTABILITY OF LIQUID SHEETS SUBJECTED TO A TRANSVERSE AC ELECTRIC FIELD

  • 摘要: 当将运动的平面液膜置于横向的交流电场之间时会产生参数振荡现象.为了得到交流电场下平面液膜的色散关系并为液膜的破碎行为分析提供理论基础,本文基于漏电介质模型对液体的电学特性进行假设,对平面液膜在直流和交流电场下的参数不稳定性进行了分析.由于主流是基于时间的流动, 在稳定性分析中引入了Floquet理论. 在文中,将电场定义为部分交流电场和部分直流电场共同耦合后的混合型电场. 最后,波数和不稳定增长率之间的无量纲色散方程可由矩阵的形式表示.本文考虑了多种参数对不稳定的影响, 包括气液密度比、韦伯数、雷诺数、欧拉数、 松弛时间以及衡量交流电场占比的参数及频率参数,并得知欧拉数同时影响毛细不稳定性及参数不稳定性,交流电场占比对不稳定性的影响体现在恒定电场力上, 而交流电场频率主要影响参数不稳定性. 为了在实验中更容易地寻求参数振荡现象,增大电欧拉数及减小交流电场频率是有效的方法.

     

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出版历程
  • 收稿日期:  2020-08-25
  • 刊出日期:  2021-02-10

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