Three-dimensional numerical simulation of electro-convection due to strong unipolar charge injection in a cubic cavity

Author

Jian Wu ; Traore, Philippe ; Fang-Bao Tian

Author_Institution

Dept. Fluide-Thermique-Combustion, Inst. PPRIME, Futuroscope-Chasseneuil, France

fYear

2013

fDate

20-23 Oct. 2013

Firstpage

1038

Lastpage

1041

Abstract

The three-dimensional isothermal electro-convection induced by the unipolar charge injection in a cubic enclosure was numerically investigated. All the boundaries were assumed to be rigid. The whole set of electrohydrodynamics (EHD) equations were solved with a finite volume approach. A total-variation-diminishing (TVD) scheme was specially applied to the charge transport equation. A strong injection case with a non-dimensional injection parameter C=10 was considered. The critical electrical Rayleigh number for the onset of the electro-convection is evaluated numerically about 250. A bounded region free of charge was observed.

Keywords

charge injection; convection; electrohydrodynamics; finite volume methods; EHD equations; Rayleigh number; TVD scheme; charge transport equation; cubic cavity; cubic enclosure; electrohydrodynamics equations; finite volume approach; nondimensional injection parameter; three-dimensional isothermal electro-convection; three-dimensional numerical simulation; total-variation-diminishing scheme; unipolar charge injection; Cavity resonators; Dielectric liquids; Equations; Mathematical model; Stability criteria; Three-dimensional displays;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical Insulation and Dielectric Phenomena (CEIDP), 2013 IEEE Conference on

Conference_Location

Shenzhen

Type

conf

DOI

10.1109/CEIDP.2013.6748221

Filename

6748221