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Numerical investigation of injection-induced electro-convection in a dielectric liquid between two eccentric cylinders
International Journal of Heat and Fluid Flow ( IF 2.6 ) Pub Date : 2020-06-01 , DOI: 10.1016/j.ijheatfluidflow.2020.108594
Junyu Huang , R. Deepak Selvakumar , Yifei Guan , Hanqing Li , Philippe Traoré , Jian Wu

Abstract Numerical analysis of the 2D radial and azimuth electro-convection (EC) flow of dielectric liquid between two eccentric cylindrical electrodes driven by unipolar injection of ions is presented. The finite volume method is used to resolve the spatiotemporal distributions of the flow field, electric field, and charge density. The flow instability is studied in various scenarios where the radius ratio Γ = Ri/Ro ranges between 0.1 and 0.7 and the eccentricity η between 0.1 and 0.5. The bifurcation of the flow patterns depends on the electric Rayleigh number T, a ratio of the electric force to viscous force, and the two geometric parameters Γ and η. For an increasing T, the EC system develops from a weak steady convective state to chaos via different intermediate states experiencing pitchfork and Hopf bifurcations. The influence of Γ and η on the bifurcation behavior is also investigated. When Γ lies between 0.1 and 0.3, a novel periodic oscillation of the flow patterns has been observed.

中文翻译:

两个偏心圆柱体间介电液体中注入感应电对流的数值研究

摘要 介绍了由单极离子注入驱动的两个偏心圆柱电极之间介电液体的二维径向和方位角电对流 (EC) 流动的数值分析。有限体积法用于解析流场、电场和电荷密度的时空分布。在半径比 Γ = Ri/Ro 介于 0.1 和 0.7 之间且偏心率 η 介于 0.1 和 0.5 之间的各种情况下研究流动不稳定性。流动模式的分岔取决于电瑞利数 T、电力与粘性力的比值以及两个几何参数 Γ 和 η。对于增加的 T,EC 系统通过经历干草叉和 Hopf 分叉的不同中间状态从弱稳定对流状态发展到混沌状态。Γ 和 η 对分叉行为的影响也进行了研究。当 Γ 介于 0.1 和 0.3 之间时,观察到流动模式的一种新的周期性振荡。
更新日期:2020-06-01
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