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Electrohydrodynamic linear stability analysis of dielectric liquids subjected to unipolar injection in a rectangular enclosure with rigid sidewalls

 

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Opened Access Electrohydrodynamic linear stability analysis of dielectric liquids subjected to unipolar injection in a rectangular enclosure with rigid sidewalls
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Author: Pérez Izquierdo, Alberto Tomás
Vázquez González, Pedro Ángel
Wu, Jiam
Traoré, Philippe
Department: Universidad de Sevilla. Departamento de Física Aplicada III
Universidad de Sevilla. Departamento de Electrónica y Electromagnetismo
Date: 2014
Published in: Journal of Fluid Mechanics, 758, 586-602.
Document type: Article
Abstract: We investigate the linear stability threshold of a dielectric liquid subjected to unipolar injection in a 2D rectangular enclosure with rigid boundaries. A finite element formulation transforms the set of linear partial differential equations that governs the system into a set of algebraic equations. The resulting system poses an eigenvalue problem. We calculate the linear stability threshold, as well as the velocity field and charge density distribution, as a function of the aspect ratio of the domain. The stability parameter as a function of the aspect ratio describes paths of symmetry-breaking bifurcation. The symmetry properties of the different linear modes determine whether these paths cross each other or not. The resulting structure has important consequences in the non-linear behavior of the system after the bifurcation points.
Cite: Pérez Izquierdo, A.T., Vázquez González, P.Á., Wu, J. y Traoré, P. (2014). Electrohydrodynamic linear stability analysis of dielectric liquids subjected to unipolar injection in a rectangular enclosure with rigid sidewalls. Journal of Fluid Mechanics, 758, 586-602.
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URI: https://hdl.handle.net/11441/76767

DOI: 10.1017/jfm.2014.537P

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