Numerical analysis of the subcritical feature of electro-thermo-convection in a plane layer of dielectric liquid

Jian Wu; Philippe Traoré; Alberto T. Pérez; Mengqi Zhang

doi:10.1016/j.physd.2015.09.004

Numerical analysis of the subcritical feature of electro-thermo-convection in a plane layer of dielectric liquid

Jian Wu
, Philippe Traoré
, Alberto T. Pérez
, Mengqi Zhang

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

37 Citations (Scopus)

Abstract

This paper reports a numerical investigation with a horizontal layer of dielectric liquid subjected to the simultaneous effects of external thermal and electric fields. The flow is driven by the buoyancy force and the Coulomb force, which depend on the Rayleigh number (Ra) and the electric Rayleigh number (T), respectively. We consider a strong unipolar injection from the lower electrode and a destabilizing thermal gradient. The two driving forces cooperate with each other in destabilizing the system. The neutral stability curve in the Ra-T plane is successfully reproduced from the direct numerical results, and it is shown to be independent on the Prandtl number (Pr) and the dimensionless mobility number (M). On the other hand, both the bifurcation types of the linear instability (subcritical or supercritical) and the finite amplitude stability criterion depend strongly on the combination of Pr and M. © 2015 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	45-57
Journal	Physica D: Nonlinear Phenomena
Volume	311-312
DOIs	https://doi.org/10.1016/j.physd.2015.09.004
Publication status	Published - 1 Sept 2015
Externally published	Yes

Bibliographical note

Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

Funding

This work was funded by the French Government program “Investissements d’Avenir” ( LABEX INTERACTIFS , reference ANR-11-LABX-0017-01 ) (to Jian Wu), a grant from the French district Poitou–Charentes (to P. Traoré) and financial support from the Spanish Ministerio de Cienciay Tecnología (MCYT) under Research Project No. FIS2011-25161 and Junta de Andalucía under research projects P10-FQM-5735 and P09-FQM-4584 (to A.T. Pérez).

Research Keywords

Charge injection
Dielectric liquid
Electro-thermo-convection
Electrohydrodynamics
Numerical analysis
Rayleigh-Bénard convection

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title = "Numerical analysis of the subcritical feature of electro-thermo-convection in a plane layer of dielectric liquid",

abstract = "This paper reports a numerical investigation with a horizontal layer of dielectric liquid subjected to the simultaneous effects of external thermal and electric fields. The flow is driven by the buoyancy force and the Coulomb force, which depend on the Rayleigh number (Ra) and the electric Rayleigh number (T), respectively. We consider a strong unipolar injection from the lower electrode and a destabilizing thermal gradient. The two driving forces cooperate with each other in destabilizing the system. The neutral stability curve in the Ra-T plane is successfully reproduced from the direct numerical results, and it is shown to be independent on the Prandtl number (Pr) and the dimensionless mobility number (M). On the other hand, both the bifurcation types of the linear instability (subcritical or supercritical) and the finite amplitude stability criterion depend strongly on the combination of Pr and M. {\textcopyright} 2015 Elsevier B.V. All rights reserved.",

keywords = "Charge injection, Dielectric liquid, Electro-thermo-convection, Electrohydrodynamics, Numerical analysis, Rayleigh-B{\'e}nard convection",

author = "Jian Wu and Philippe Traor{\'e} and P{\'e}rez, \{Alberto T.\} and Mengqi Zhang",

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AU - Wu, Jian

AU - Traoré, Philippe

AU - Pérez, Alberto T.

AU - Zhang, Mengqi

N1 - Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

PY - 2015/9/1

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N2 - This paper reports a numerical investigation with a horizontal layer of dielectric liquid subjected to the simultaneous effects of external thermal and electric fields. The flow is driven by the buoyancy force and the Coulomb force, which depend on the Rayleigh number (Ra) and the electric Rayleigh number (T), respectively. We consider a strong unipolar injection from the lower electrode and a destabilizing thermal gradient. The two driving forces cooperate with each other in destabilizing the system. The neutral stability curve in the Ra-T plane is successfully reproduced from the direct numerical results, and it is shown to be independent on the Prandtl number (Pr) and the dimensionless mobility number (M). On the other hand, both the bifurcation types of the linear instability (subcritical or supercritical) and the finite amplitude stability criterion depend strongly on the combination of Pr and M. © 2015 Elsevier B.V. All rights reserved.

AB - This paper reports a numerical investigation with a horizontal layer of dielectric liquid subjected to the simultaneous effects of external thermal and electric fields. The flow is driven by the buoyancy force and the Coulomb force, which depend on the Rayleigh number (Ra) and the electric Rayleigh number (T), respectively. We consider a strong unipolar injection from the lower electrode and a destabilizing thermal gradient. The two driving forces cooperate with each other in destabilizing the system. The neutral stability curve in the Ra-T plane is successfully reproduced from the direct numerical results, and it is shown to be independent on the Prandtl number (Pr) and the dimensionless mobility number (M). On the other hand, both the bifurcation types of the linear instability (subcritical or supercritical) and the finite amplitude stability criterion depend strongly on the combination of Pr and M. © 2015 Elsevier B.V. All rights reserved.

KW - Charge injection

KW - Dielectric liquid

KW - Electro-thermo-convection

KW - Electrohydrodynamics

KW - Numerical analysis

KW - Rayleigh-Bénard convection

UR - https://www.scopus.com/pages/publications/84942851452

UR - https://www.scopus.com/pages/publications/84942851452#tab=impact

U2 - 10.1016/j.physd.2015.09.004

DO - 10.1016/j.physd.2015.09.004

M3 - RGC 21 - Publication in refereed journal

SN - 0167-2789

VL - 311-312

SP - 45

EP - 57

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

ER -

Numerical analysis of the subcritical feature of electro-thermo-convection in a plane layer of dielectric liquid

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