Dynamics of liquid films on vertical fibres in a radial electric field

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 lo...

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Main Authors: Ding, Zijing, Xie, Jinlong, Wong, Teck Neng, Liu, Rong
Other Authors: School of Mechanical and Aerospace Engineering
Format: Article
Language:English
Published: 2014
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Online Access:https://hdl.handle.net/10356/104870
http://hdl.handle.net/10220/20312
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1048702023-03-04T17:20:20Z Dynamics of liquid films on vertical fibres in a radial electric field Ding, Zijing Xie, Jinlong Wong, Teck Neng Liu, Rong School of Mechanical and Aerospace Engineering DRNTU::Engineering::Mechanical engineering::Fluid mechanics 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. Published version 2014-08-18T01:29:38Z 2019-12-06T21:41:36Z 2014-08-18T01:29:38Z 2019-12-06T21:41:36Z 2014 2014 Journal Article 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. 0022-1120 https://hdl.handle.net/10356/104870 http://hdl.handle.net/10220/20312 10.1017/jfm.2014.321 en Journal of fluid mechanics © 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: http://dx.doi.org/10.1017/jfm.2014.321.  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. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Engineering::Mechanical engineering::Fluid mechanics
spellingShingle DRNTU::Engineering::Mechanical engineering::Fluid mechanics
Ding, Zijing
Xie, Jinlong
Wong, Teck Neng
Liu, Rong
Dynamics of liquid films on vertical fibres in a radial electric field
description 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.
author2 School of Mechanical and Aerospace Engineering
author_facet School of Mechanical and Aerospace Engineering
Ding, Zijing
Xie, Jinlong
Wong, Teck Neng
Liu, Rong
format Article
author Ding, Zijing
Xie, Jinlong
Wong, Teck Neng
Liu, Rong
author_sort Ding, Zijing
title Dynamics of liquid films on vertical fibres in a radial electric field
title_short Dynamics of liquid films on vertical fibres in a radial electric field
title_full Dynamics of liquid films on vertical fibres in a radial electric field
title_fullStr Dynamics of liquid films on vertical fibres in a radial electric field
title_full_unstemmed Dynamics of liquid films on vertical fibres in a radial electric field
title_sort dynamics of liquid films on vertical fibres in a radial electric field
publishDate 2014
url https://hdl.handle.net/10356/104870
http://hdl.handle.net/10220/20312
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