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Title: Dynamics of liquid films on vertical fibres in a radial electric field
Authors: Ding, Zijing
Xie, Jinlong
Wong, Teck Neng
Liu, Rong
Keywords: DRNTU::Engineering::Mechanical engineering::Fluid mechanics
Issue Date: 2014
Source: Ding, Z., Xie, J., Wong, T. N., & Liu, R. (2014). Dynamics of liquid films on vertical fibres in a radial electric field. Journal of Fluid Mechanics, 752, 66-89.
Series/Report no.: Journal of fluid mechanics
Abstract: The 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) β<e, the electric field enhanced the long-wave instability; when β>e, the electric field impeded the long-wave instability; when β=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 β<e. However, when β=e, the nonlinear evolution study showed that the electric field enhanced the instability which may cause the interface to become singular. When β>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 β⩾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.
ISSN: 0022-1120
DOI: 10.1017/jfm.2014.321
Rights: © 2014 Cambridge University Press. This paper was published in Journal of Fluid Mechanics and is made available as an electronic reprint (preprint) with permission of Cambridge University Press. The paper can be found at the following official DOI:  One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.
Fulltext Permission: open
Fulltext Availability: With Fulltext
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