Electrohydrodynamic instability in an annular liquid layer with radial conductivity gradients

In this paper, the electrohydrodynamic stability in an annular liquid layer with a radial electrical conductivity gradient is investigated. A weak shear flow arises from a constant pressure gradient in the axial direction. In the radial direction, an electric field is applied. The three-dimensional...

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Main Authors: Wong, Teck Neng, Ding, Zijing
Other Authors: School of Mechanical and Aerospace Engineering
Format: Article
Language:English
Published: 2014
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Online Access:https://hdl.handle.net/10356/104107
http://hdl.handle.net/10220/19547
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1041072023-03-04T17:20:27Z Electrohydrodynamic instability in an annular liquid layer with radial conductivity gradients Wong, Teck Neng Ding, Zijing School of Mechanical and Aerospace Engineering DRNTU::Engineering::Mechanical engineering In this paper, the electrohydrodynamic stability in an annular liquid layer with a radial electrical conductivity gradient is investigated. A weak shear flow arises from a constant pressure gradient in the axial direction. In the radial direction, an electric field is applied. The three-dimensional linear instability analysis is implemented to study the influence of the inner radius, electrical conductivity gradient, shear flow, and ionic diffusion on the dynamics of the fluid layer. It is found that the critical unstable mode may either be oscillatory or stationary. The system becomes more unstable as the dimensionless inner radius a increases. When the inner radius a is small, the critical unstable mode is stationary, while it is given by three-dimensional oblique waves when a is large. When the conductivity gradient is small, the critical unstable mode is the three-dimensional oblique wave, while when the conductivity gradient is large, it would switch to the stationary mode rather than the oscillatory mode. The system becomes more unstable when the Reynolds number is slightly increased from zero. Additionally, it is found that the electrical Schmidt number has dual effects. The liquid layer becomes either more unstable or stable as the electric Schmidt number increases. Published version 2014-06-04T02:59:18Z 2019-12-06T21:26:34Z 2014-06-04T02:59:18Z 2019-12-06T21:26:34Z 2014 2014 Journal Article Ding, Z., & Wong, T. N. (2014). Electrohydrodynamic instability in an annular liquid layer with radial conductivity gradients. Physical Review E, 89(3), 033010-. 1539-3755 https://hdl.handle.net/10356/104107 http://hdl.handle.net/10220/19547 10.1103/PhysRevE.89.033010 en Physical review E © 2014 American Physical Society. This paper was published in Physical Review E and is made available as an electronic reprint (preprint) with permission of American Physical Society. The paper can be found at the following official DOI: http://dx.doi.org/10.1103/PhysRevE.89.033010.  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
spellingShingle DRNTU::Engineering::Mechanical engineering
Wong, Teck Neng
Ding, Zijing
Electrohydrodynamic instability in an annular liquid layer with radial conductivity gradients
description In this paper, the electrohydrodynamic stability in an annular liquid layer with a radial electrical conductivity gradient is investigated. A weak shear flow arises from a constant pressure gradient in the axial direction. In the radial direction, an electric field is applied. The three-dimensional linear instability analysis is implemented to study the influence of the inner radius, electrical conductivity gradient, shear flow, and ionic diffusion on the dynamics of the fluid layer. It is found that the critical unstable mode may either be oscillatory or stationary. The system becomes more unstable as the dimensionless inner radius a increases. When the inner radius a is small, the critical unstable mode is stationary, while it is given by three-dimensional oblique waves when a is large. When the conductivity gradient is small, the critical unstable mode is the three-dimensional oblique wave, while when the conductivity gradient is large, it would switch to the stationary mode rather than the oscillatory mode. The system becomes more unstable when the Reynolds number is slightly increased from zero. Additionally, it is found that the electrical Schmidt number has dual effects. The liquid layer becomes either more unstable or stable as the electric Schmidt number increases.
author2 School of Mechanical and Aerospace Engineering
author_facet School of Mechanical and Aerospace Engineering
Wong, Teck Neng
Ding, Zijing
format Article
author Wong, Teck Neng
Ding, Zijing
author_sort Wong, Teck Neng
title Electrohydrodynamic instability in an annular liquid layer with radial conductivity gradients
title_short Electrohydrodynamic instability in an annular liquid layer with radial conductivity gradients
title_full Electrohydrodynamic instability in an annular liquid layer with radial conductivity gradients
title_fullStr Electrohydrodynamic instability in an annular liquid layer with radial conductivity gradients
title_full_unstemmed Electrohydrodynamic instability in an annular liquid layer with radial conductivity gradients
title_sort electrohydrodynamic instability in an annular liquid layer with radial conductivity gradients
publishDate 2014
url https://hdl.handle.net/10356/104107
http://hdl.handle.net/10220/19547
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