We present a numerical investigation on the dynamics of a compound droplet under the combined influence of an applied electric field and shear flow. The paper is carried out by solving the electro-hydrodynamic equations in a two-dimensional framework, and the interface is captured using a volume-of-fluid approach. Both perfect dielectric as well as leaky dielectric fluids are considered. For the case of dielectric fluids, the deformation of both the inner and outer interfaces can be modulated by either variation of the permittivity contrast between the fluids or the applied field strength. The nature of the polarization forces acting at both the interfaces can be either compressive or tensile depending on the magnitude of the permittivity ratio. The investigations for leaky dielectric fluids reveal that the ratio of electrical permittivity and conductivity between the two phases plays a critical role in deciding the magnitude of deformation and orientation of the compound droplet. The variation of charge accumulated at the interfaces modifies the behavior of the Coulombic forces thereby fundamentally altering the droplet deformation and orientation characteristics. Furthermore, it is demonstrated that the electric field can be suitably applied to engender breakup of the compound droplets.

中文翻译：

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电场和剪切流共同作用下复合液滴的动力学

我们对施加的电场和剪切流共同作用下的复合液滴动力学进行了数值研究。本文是通过在二维框架中求解电-液动力学方程来进行的，并使用流体体积方法捕获了界面。理想的介电液和泄漏的介电液都应考虑。对于介电流体，可以通过改变流体之间的介电常数对比或施加的场强来调节内界面和外界面的变形。取决于介电常数比的大小，作用在两个界面上的极化力的性质可以是压缩的或拉伸的。对泄漏的电介质流体的研究表明，两相之间的电容率和电导率之比在决定复合液滴的变形和取向大小方面起着至关重要的作用。在界面处累积的电荷变化改变了库仑力​​的行为，从而从根本上改变了液滴的变形和取向特性。此外，证明了电场可以适当地施加以引起化合物液滴的破裂。在界面处累积的电荷变化改变了库仑力​​的行为，从而从根本上改变了液滴的变形和取向特性。此外，证明了电场可以适当地施加以引起化合物液滴的破裂。在界面处累积的电荷变化改变了库仑力​​的行为，从而从根本上改变了液滴的变形和取向特性。此外，证明了电场可以适当地施加以引起化合物液滴的破裂。