Electrohydrodynamic linear stability analysis of dielectric liquids subjected to unipolar injection in a rectangular enclosure with rigid sidewalls
| Autor: | Pérez Izquierdo, Alberto Tomás, Vázquez González, Pedro Ángel, Wu, Jiam, Traoré, Philippe |
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| Přispěvatelé: | Universidad de Sevilla. Departamento de Física Aplicada III, Universidad de Sevilla. Departamento de Electrónica y Electromagnetismo |
| Rok vydání: | 2014 |
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| Zdroj: | idUS. Depósito de Investigación de la Universidad de Sevilla instname |
| Popis: | 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. Ministerio de ciencia y tecnología FIS2011-25161 Junta de Andalucía P10-FQM-5735 Junta de Andalucía P09-FQM-4584 |
| Databáze: | OpenAIRE |
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