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On two-dimensional finite amplitude electro-convection in a dielectric liquid induced by a strong unipolar injection
Affiliation:1. Département Fluide-Thermique-Combustion, Institut PPRIME, Université de Poitiers, Boulevard Pierre et Marie Curie, BP 30179, 86962 Futuroscope-Chasseneuil, France;2. Departamento de Electrónica y Electromagnetismo, Universidad de Sevilla, Facultad de Física, Avenida Reina Mercedes s/n, 41012 Sevilla, Spain;3. Departamento de Física Aplicada III, Universidad de Sevilla, ESI, Camino de los Descubrimientos s/n, 41092 Sevilla, Spain;1. Mechanical Engineering Department, Amirkabir University of Technology, Tehran, Iran;2. Mechanical Engineering Department, Amirkabir University of Technology, Energy and Control Center of Excellence, Tehran, Iran;3. Department of Electrical Engineering, Amirkabir University of Technology, Tehran, Iran;1. Mechanical Engineering Department, Azarbaijan Shahid Madani University, Tabriz, Iran;2. North-West Steel Industries Co., Tabriz, Iran;3. Mechanical Engineering Department, University of Tabriz, Tabriz, Iran;1. Department of Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad 91775-1111, Iran;2. Electrical Engineering Department, Ferdowsi University of Mashhad, Mashhad, Iran;3. School of Design and Engineering, Thomas Jefferson University, 4201 Henry Avenue, Philadelphia, PA 19144, USA;4. Department of Mechanical Engineering, Tennessee Tech University, Cookeville, TN 38505, USA
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:Electro-convection  Stability criteria  Charge injection  Numerical analysis  Dielectric liquid
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