On two-dimensional finite amplitude electro-convection in a dielectric liquid induced by a strong unipolar injection

Jian Wu; Philippe Traoré; Alberto T. Pérez; Pédro A. Vázquez

doi:10.1016/j.elstat.2015.01.002

On two-dimensional finite amplitude electro-convection in a dielectric liquid induced by a strong unipolar injection

Jian Wu^*
, Philippe Traoré
, Alberto T. Pérez
, Pédro A. Vázquez

^*Corresponding author for this work

Université de Poitiers
University of Seville

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

36 Scopus citations

Abstract

The hydrodynamic stability of a dielectric liquid subjected to strong unipolar injection is numerically investigated. We determined the linear criterion T_c (T being the electric Rayleigh number) and finite amplitude one T_f over a wide range of the mobility parameter M. A noticeable discrepancy is shown for T_f between our numerical prediction and the value predicted by stability analysis, which is due to the velocity field used in stability analysis. Recent studies revealed a transition of the flow structure from one cell to two with an increase in T. We demonstrate that this transition results in a new subcritical bifurcation.

Original language	English
Pages (from-to)	85-95
Number of pages	11
Journal	Journal of Electrostatics
Volume	74
DOIs	https://doi.org/10.1016/j.elstat.2015.01.002
State	Published - 1 Apr 2015
Externally published	Yes

Keywords

Charge injection
Dielectric liquid
Electro-convection
Numerical analysis
Stability criteria

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10.1016/j.elstat.2015.01.002

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title = "On two-dimensional finite amplitude electro-convection in a dielectric liquid induced by a strong unipolar injection",

abstract = "The hydrodynamic stability of a dielectric liquid subjected to strong unipolar injection is numerically investigated. We determined the linear criterion Tc (T being the electric Rayleigh number) and finite amplitude one Tf over a wide range of the mobility parameter M. A noticeable discrepancy is shown for Tf between our numerical prediction and the value predicted by stability analysis, which is due to the velocity field used in stability analysis. Recent studies revealed a transition of the flow structure from one cell to two with an increase in T. We demonstrate that this transition results in a new subcritical bifurcation.",

keywords = "Charge injection, Dielectric liquid, Electro-convection, Numerical analysis, Stability criteria",

author = "Jian Wu and Philippe Traor{\'e} and P{\'e}rez, \{Alberto T.\} and V{\'a}zquez, \{P{\'e}dro A.\}",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier B.V.",

year = "2015",

month = apr,

day = "1",

doi = "10.1016/j.elstat.2015.01.002",

language = "英语",

volume = "74",

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TY - JOUR

T1 - On two-dimensional finite amplitude electro-convection in a dielectric liquid induced by a strong unipolar injection

AU - Wu, Jian

AU - Traoré, Philippe

AU - Pérez, Alberto T.

AU - Vázquez, Pédro A.

PY - 2015/4/1

Y1 - 2015/4/1

N2 - The hydrodynamic stability of a dielectric liquid subjected to strong unipolar injection is numerically investigated. We determined the linear criterion Tc (T being the electric Rayleigh number) and finite amplitude one Tf over a wide range of the mobility parameter M. A noticeable discrepancy is shown for Tf between our numerical prediction and the value predicted by stability analysis, which is due to the velocity field used in stability analysis. Recent studies revealed a transition of the flow structure from one cell to two with an increase in T. We demonstrate that this transition results in a new subcritical bifurcation.

AB - The hydrodynamic stability of a dielectric liquid subjected to strong unipolar injection is numerically investigated. We determined the linear criterion Tc (T being the electric Rayleigh number) and finite amplitude one Tf over a wide range of the mobility parameter M. A noticeable discrepancy is shown for Tf between our numerical prediction and the value predicted by stability analysis, which is due to the velocity field used in stability analysis. Recent studies revealed a transition of the flow structure from one cell to two with an increase in T. We demonstrate that this transition results in a new subcritical bifurcation.

KW - Charge injection

KW - Dielectric liquid

KW - Electro-convection

KW - Numerical analysis

KW - Stability criteria

UR - https://www.scopus.com/pages/publications/84921836558

U2 - 10.1016/j.elstat.2015.01.002

DO - 10.1016/j.elstat.2015.01.002

M3 - 文章

AN - SCOPUS:84921836558

SN - 0304-3886

VL - 74

SP - 85

EP - 95

JO - Journal of Electrostatics

JF - Journal of Electrostatics

ER -

On two-dimensional finite amplitude electro-convection in a dielectric liquid induced by a strong unipolar injection

Abstract

Keywords

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