Numerical investigation of injection-induced electro-convection in a dielectric liquid between two eccentric cylinders

Junyu Huang; R. Deepak Selvakumar; Yifei Guan; Hanqing Li; Philippe Traoré; Jian Wu

doi:10.1016/j.ijheatfluidflow.2020.108594

Numerical investigation of injection-induced electro-convection in a dielectric liquid between two eccentric cylinders

Junyu Huang, R. Deepak Selvakumar, Yifei Guan, Hanqing Li, Philippe Traoré, Jian Wu

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

Numerical analysis of the 2D radial and azimuth electro-convection (EC) flow of dielectric liquid between two eccentric cylindrical electrodes driven by unipolar injection of ions is presented. The finite volume method is used to resolve the spatiotemporal distributions of the flow field, electric field, and charge density. The flow instability is studied in various scenarios where the radius ratio Γ = R_i/R_o ranges between 0.1 and 0.7 and the eccentricity η between 0.1 and 0.5. The bifurcation of the flow patterns depends on the electric Rayleigh number T, a ratio of the electric force to viscous force, and the two geometric parameters Γ and η. For an increasing T, the EC system develops from a weak steady convective state to chaos via different intermediate states experiencing pitchfork and Hopf bifurcations. The influence of Γ and η on the bifurcation behavior is also investigated. When Γ lies between 0.1 and 0.3, a novel periodic oscillation of the flow patterns has been observed.

Original language	British English
Article number	108594
Journal	International Journal of Heat and Fluid Flow
Volume	83
DOIs	https://doi.org/10.1016/j.ijheatfluidflow.2020.108594
State	Published - Jun 2020

Keywords

Charge injection
Convection in an annulus
Dielectric liquid
Eccentricity
Electrohydrodynamics
Finite volume method

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10.1016/j.ijheatfluidflow.2020.108594

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@article{0351245218f943aea3e4f2afe720848a,

title = "Numerical investigation of injection-induced electro-convection in a dielectric liquid between two eccentric cylinders",

abstract = "Numerical analysis of the 2D radial and azimuth electro-convection (EC) flow of dielectric liquid between two eccentric cylindrical electrodes driven by unipolar injection of ions is presented. The finite volume method is used to resolve the spatiotemporal distributions of the flow field, electric field, and charge density. The flow instability is studied in various scenarios where the radius ratio Γ = Ri/Ro ranges between 0.1 and 0.7 and the eccentricity η between 0.1 and 0.5. The bifurcation of the flow patterns depends on the electric Rayleigh number T, a ratio of the electric force to viscous force, and the two geometric parameters Γ and η. For an increasing T, the EC system develops from a weak steady convective state to chaos via different intermediate states experiencing pitchfork and Hopf bifurcations. The influence of Γ and η on the bifurcation behavior is also investigated. When Γ lies between 0.1 and 0.3, a novel periodic oscillation of the flow patterns has been observed.",

keywords = "Charge injection, Convection in an annulus, Dielectric liquid, Eccentricity, Electrohydrodynamics, Finite volume method",

author = "Junyu Huang and Selvakumar, {R. Deepak} and Yifei Guan and Hanqing Li and Philippe Traor{\'e} and Jian Wu",

note = "Funding Information: This work is supported by the National Natural Science Foundation of China (Grant No. 11802079 ) and the CAST-BISEE Innovation Fund (Grant No. 2019-012 ). Publisher Copyright: {\textcopyright} 2020 Elsevier Inc.",

year = "2020",

month = jun,

doi = "10.1016/j.ijheatfluidflow.2020.108594",

language = "British English",

volume = "83",

journal = "International Journal of Heat and Fluid Flow",

issn = "0142-727X",

publisher = "Elsevier B.V.",

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TY - JOUR

T1 - Numerical investigation of injection-induced electro-convection in a dielectric liquid between two eccentric cylinders

AU - Huang, Junyu

AU - Selvakumar, R. Deepak

AU - Guan, Yifei

AU - Li, Hanqing

AU - Traoré, Philippe

AU - Wu, Jian

N1 - Funding Information: This work is supported by the National Natural Science Foundation of China (Grant No. 11802079 ) and the CAST-BISEE Innovation Fund (Grant No. 2019-012 ). Publisher Copyright: © 2020 Elsevier Inc.

PY - 2020/6

Y1 - 2020/6

N2 - Numerical analysis of the 2D radial and azimuth electro-convection (EC) flow of dielectric liquid between two eccentric cylindrical electrodes driven by unipolar injection of ions is presented. The finite volume method is used to resolve the spatiotemporal distributions of the flow field, electric field, and charge density. The flow instability is studied in various scenarios where the radius ratio Γ = Ri/Ro ranges between 0.1 and 0.7 and the eccentricity η between 0.1 and 0.5. The bifurcation of the flow patterns depends on the electric Rayleigh number T, a ratio of the electric force to viscous force, and the two geometric parameters Γ and η. For an increasing T, the EC system develops from a weak steady convective state to chaos via different intermediate states experiencing pitchfork and Hopf bifurcations. The influence of Γ and η on the bifurcation behavior is also investigated. When Γ lies between 0.1 and 0.3, a novel periodic oscillation of the flow patterns has been observed.

AB - Numerical analysis of the 2D radial and azimuth electro-convection (EC) flow of dielectric liquid between two eccentric cylindrical electrodes driven by unipolar injection of ions is presented. The finite volume method is used to resolve the spatiotemporal distributions of the flow field, electric field, and charge density. The flow instability is studied in various scenarios where the radius ratio Γ = Ri/Ro ranges between 0.1 and 0.7 and the eccentricity η between 0.1 and 0.5. The bifurcation of the flow patterns depends on the electric Rayleigh number T, a ratio of the electric force to viscous force, and the two geometric parameters Γ and η. For an increasing T, the EC system develops from a weak steady convective state to chaos via different intermediate states experiencing pitchfork and Hopf bifurcations. The influence of Γ and η on the bifurcation behavior is also investigated. When Γ lies between 0.1 and 0.3, a novel periodic oscillation of the flow patterns has been observed.

KW - Charge injection

KW - Convection in an annulus

KW - Dielectric liquid

KW - Eccentricity

KW - Electrohydrodynamics

KW - Finite volume method

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U2 - 10.1016/j.ijheatfluidflow.2020.108594

DO - 10.1016/j.ijheatfluidflow.2020.108594

M3 - Article

AN - SCOPUS:85082715439

SN - 0142-727X

VL - 83

JO - International Journal of Heat and Fluid Flow

JF - International Journal of Heat and Fluid Flow

M1 - 108594

ER -

Numerical investigation of injection-induced electro-convection in a dielectric liquid between two eccentric cylinders

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