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Application of the lattice Boltzmann method to electrohydrodynamics: Deformation and instability of liquid drops in electrostatic fields

机译：格子Boltzmann方法在电流体动力学中的应用：静电场中液滴的变形和不稳定性

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摘要

It is attractive and meaningful to apply the lattice Boltzmann method (IBM) to electrohydrodynamic (EHD) problems. As an important and fundamental problem in EHD, the behavior of freely-suspended liquid drops subjected to electrostatic fields was simulated with a 2-D LBM by means of the permittivity-density relation proposed by the authors and Peng's multiphase LBM which can obtain high liquid-to-vapor density ratio and low liquid-phase compressibility. The phenomena and laws of deformation, especially the in stable behavior of the liquid drops were well simulated. And two important critical parameters, i.e. the critical permittivity ratio and the critical electric-field strength were obtained. These results agree with the corresponding theories andexperiments. The simulations show the particular advantages and potential of the LBM in studying multiphase electrohydrodynamic problems.
机译：将晶格玻尔兹曼方法（IBM）应用于电流体动力学（EHD）问题是有吸引力且有意义的。作为EHD中一个重要的基本问题，利用作者提出的介电常数-密度关系和彭氏多相LBM可以通过二维LBM模拟自由悬浮的液滴在静电场下的行为。 -蒸气密度比和低液相压缩率。很好地模拟了变形现象和规律，尤其是液滴的稳定行为。得到了两个重要的临界参数，即临界介电比和临界电场强度。这些结果与相应的理论和实验相吻合。仿真显示了LBM在研究多相电液动力学问题方面的特殊优势和潜力。

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