Linear instability of liquid sheets subjected to a transverse electric field

Xiao Cui, Qing Fei Fu, Lijun Yang, Luo Xie, Bo Qi Jia

科研成果: 期刊稿件文章同行评审

1 引用 (Scopus)

摘要

A temporal linear instability analysis was performed for a liquid sheet moving around the inviscid gas in transverse electrical field. The fluid was described by the leaky-dielectric model, which is more complex and more comparable to the liquid electrical properties than existing models. As a result, the sinuous and the varicose modes exist, in which the dimensionless dispersion relation between wave number and temporal growth rate can be derived as a 3 3 matrix. According to this relationship, the effects of liquid properties on sheet instability were performed. It was concluded that, as the electrical Euler number (Eu), the ratio of gas-to-liquid density (q), Weber number (We), Reynolds number (Re), and the relative relaxation time (s) increased, the instability of the sheet was enhanced. This work also compared the leaky-dielectric model with the perfect conductor model and found that the unstable growth rate in the leaky-dielectric model was higher than the one in the perfect conductor model. Moreover, as the ratio of gas-to-liquid improved, this difference decreased. Finally, an energy approach was adopted to investigate the instability mechanism for the two models.

源语言英语
文章编号011203
期刊Journal of Fluids Engineering, Transactions of the ASME
142
1
DOI
出版状态已出版 - 1月 2020
已对外发布

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