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Dynamics of liquid films on vertical fibres in a radial electric field
Ding ZJ; Xie JL; Wong TN; Liu R(刘荣); Wong, TN (reprint author), Nanyang Technol Univ, Sch Mech & Aerosp Engn, Singapore 639798, Singapore.
Source PublicationJournal of Fluid Mechanics
2014-08
Volume752Pages:66-89
ISSN0022-1120
AbstractThe long-wave behaviour of perfectly conducting liquid films flowing down a vertical fibre in a radial electric field was investigated by an asymptotic model. The validity of the asymptotic model was verified by the fully linearized problem, which showed that results were in good agreement in the long-wave region. The linear stability analysis indicated that, when the ratio (the radius of the outer cylindrical electrode over the radius of the liquid film) beta < e, the electric field enhanced the long-wave instability; when beta > e, the electric field impeded the long-wave instability; when beta = e, the electric field did not affect the long-wave instability. The nonlinear evolution study of the asymptotic model compared well with the linear theory when beta < e. However, when beta = e, the nonlinear evolution study showed that the electric field enhanced the instability which may cause the interface to become singular. When beta > e, the nonlinear evolution studies showed that the influence of the electric field on the nonlinear behaviour of the interface was complex. The electric field either enhanced or impeded the interfacial instability. In addition, an interesting phenomenon was observed by the nonlinear evolution study that the electric field may cause an oscillation in the amplitude of permanent waves when beta >= e. Further study on steady travelling waves was conducted to reveal the influence of electric field on the wave speed. Results showed that the electric field either increased or decreased the wave speed as well as the wave amplitude and flow rate. In some situations, the wave speed may increase/decrease while its amplitude decreased/increased as the strength of the external electric field increased.
KeywordInterfacial Flows (Free Surface) Mhd And Electrohydrodynamics Nonlinear Instability
Subject AreaMechanics ; Physics
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Indexed BySCI ; EI
Language英语
WOS IDWOS:000339273300007
Funding OrganizationZ.D. and T.N.W. acknowledge support from Singapore Ministry of Education, Academic Research Fund Tier 2 research grant MOE2011-T2-1-036. The authors acknowledge the referees for their many helpful suggestions and comments. Z. Ding also thanks S. Bindumadhav for his suggestions.
DepartmentNML流动稳定性与复杂流动
Classification一类
Citation statistics
Cited Times:10[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/49026
Collection国家微重力实验室
Corresponding AuthorWong, TN (reprint author), Nanyang Technol Univ, Sch Mech & Aerosp Engn, Singapore 639798, Singapore.
Recommended Citation
GB/T 7714
Ding ZJ,Xie JL,Wong TN,et al. Dynamics of liquid films on vertical fibres in a radial electric field[J]. Journal of Fluid Mechanics,2014,752:66-89.
APA Ding ZJ,Xie JL,Wong TN,Liu R,&Wong, TN .(2014).Dynamics of liquid films on vertical fibres in a radial electric field.Journal of Fluid Mechanics,752,66-89.
MLA Ding ZJ,et al."Dynamics of liquid films on vertical fibres in a radial electric field".Journal of Fluid Mechanics 752(2014):66-89.
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