TY - JOUR
T1 - Linear instability of liquid sheets subjected to a transverse electric field
AU - Cui, Xiao
AU - Fu, Qing Fei
AU - Yang, Lijun
AU - Xie, Luo
AU - Jia, Bo Qi
N1 - Publisher Copyright:
Copyright © 2020 by ASME.
PY - 2020/1
Y1 - 2020/1
N2 - 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.
AB - 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.
KW - Energy approach
KW - Leaky-dielectric model
KW - Linear instability analysis
KW - Liquid sheet
UR - http://www.scopus.com/inward/record.url?scp=85102407878&partnerID=8YFLogxK
U2 - 10.1115/1.4044828
DO - 10.1115/1.4044828
M3 - 文章
AN - SCOPUS:85102407878
SN - 0098-2202
VL - 142
JO - Journal of Fluids Engineering, Transactions of the ASME
JF - Journal of Fluids Engineering, Transactions of the ASME
IS - 1
M1 - 011203
ER -