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| 題名: | Electrohydrodynamics of a viscous drop with inertia |
| 作者: | 胡偉帆;Nganguia, H.;Young, Y.-N.;Layton, A. T.;Lai, M.-C.;Hu, W.-F. |
| 貢獻者: | 理學院數學系 |
| 日期: | 2016-05-23 |
| 上傳時間: | 2026-04-23 16:14:28 (UTC+8) |
| 出版者: | American Physical Society;United States |
| 摘要: | 摘要： Most of the existing numerical and theoretical investigations on the electrohydrodynamics of a viscous drop have focused on the creeping Stokes flow regime, where nonlinear inertia effects are neglected. In this work we study the inertia effects on the electrodeformation of a viscous drop under a DC electric field using a novel second-order immersed interface method. The inertia effects are quantified by the Ohnesorge number Oh, and the electric field is characterized by an electric capillary number Ca_{E}. Below the critical Ca_{E}, small to moderate electric field strength gives rise to steady equilibrium drop shapes. We found that, at a fixed Ca_{E}, inertia effects induce larger deformation for an oblate drop than a prolate drop, consistent with previous results in the literature. Moreover, our simulations results indicate that inertia effects on the equilibrium drop deformation are dictated by the direction of normal electric stress on the drop interface: Larger drop deformation is found when the normal electric stress points outward, and smaller drop deformation is found otherwise. To our knowledge, such inertia effects on the equilibrium drop deformation has not been reported in the literature. Above the critical Ca_{E}, no steady equilibrium drop deformation can be found, and often the drop breaks up into a number of daughter droplets. In particular, our Navier-Stokes simulations show that, for the parameters we use, (1) daughter droplets are larger in the presence of inertia, (2) the drop deformation evolves more rapidly compared to creeping flow, and (3) complex distribution of electric stresses for drops with inertia effects. Our results suggest that normal electric pressure may be a useful tool in predicting drop pinch-off in oblate deformations.
其他題名： Phys Rev E
出版者： United States
出版日期： 2016-05
出處： Physical review. E, 2016-05, Vol.93 (5), p.053114-053114, Article 053114
識別號： ISSN: 2470-0045
識別號： EISSN: 2470-0053
識別號： DOI: 10.1103/PhysRevE.93.053114
識別號： PMID: 27300985 |
| 顯示於類別: | [數學系] 期刊論文
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