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三维方腔介电液体电对流的数值模拟研究

吴健 张蒙齐 田方宝

吴健, 张蒙齐, 田方宝. 三维方腔介电液体电对流的数值模拟研究[J]. 力学学报, 2018, 50(6): 1458-1469. doi: 10.6052/0459-1879-18-301
引用本文: 吴健, 张蒙齐, 田方宝. 三维方腔介电液体电对流的数值模拟研究[J]. 力学学报, 2018, 50(6): 1458-1469. doi: 10.6052/0459-1879-18-301
Wu Jian, Zhang Mengqi, Tian Fang-Bao. NUMERICAL ANALYSIS OF THREE-DIMENSIONAL ELECTRO-CONVECTION OF DIELECTRIC LIQUIDS IN A CUBICAL CAVITY[J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(6): 1458-1469. doi: 10.6052/0459-1879-18-301
Citation: Wu Jian, Zhang Mengqi, Tian Fang-Bao. NUMERICAL ANALYSIS OF THREE-DIMENSIONAL ELECTRO-CONVECTION OF DIELECTRIC LIQUIDS IN A CUBICAL CAVITY[J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(6): 1458-1469. doi: 10.6052/0459-1879-18-301

三维方腔介电液体电对流的数值模拟研究

doi: 10.6052/0459-1879-18-301
基金项目: 1) 国家自然科学基金(11802079),国家“千人计划”(青年项目) 和澳大利亚ARC DECRA (DE160101098) 资助项目.
详细信息
    作者简介:

    null

    2) 田方宝,高级讲师,主要研究方向:流固耦合和复杂流动数值方法及应用. E-mail:f.tian@adfa.edu.au

  • 中图分类号: O351.2;

NUMERICAL ANALYSIS OF THREE-DIMENSIONAL ELECTRO-CONVECTION OF DIELECTRIC LIQUIDS IN A CUBICAL CAVITY

  • 摘要: 本文对封闭方腔内介电液体电对流进行了三维数值模拟研究.方腔的6个边界为固壁;4个侧边界为电绝缘边界;上下界面为两个电极.直流电场作用在从底部电极注入的自由电荷上,从而对液体施加库伦体积力并驱动流体流动形成电对流.为了求解这一物理问题,发展了一种二阶精度的有限体积法来求解完整的控制方程,包括Navier-Stokes方程和一组简化的Maxwell方程.考虑到电荷密度方程的强对流占优特性,采用了全逆差递减格式来求解该方程,获得了准确有界的解.通过研究发现,该流动在有限振幅区内的分叉类型为亚临界,即系统存在一个线性和非线性临界值,分别对应流动的开始和终止.由于非线性临界值比线性值小,因此两个临界值之间有一个迟滞回线.与无限大域中的自由对流相比,侧壁施加的额外约束改变了流场结构,使这两个临界值均有所增大.此外,还讨论了电荷密度和速度场的空间分布特征,发现电荷密度分布中存在电荷空白区.最后对更小空间尺寸情况计算结果表明,流动的线性分叉类型为超临界.本文的结果拓展了已有的二维有限空间内电对流的研究,并为三维电对流的线性和弱非线性理论分析提供参考.

     

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  • 收稿日期:  2018-09-09
  • 刊出日期:  2018-11-18

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