In this paper, the dynamics of a 2D double emulsion under the combined effects of the electric field and shear flow are studied by using an incompressible smoothed particle hydrodynamics (ISPH) method. Six different systems are used, each corresponding to different electrical properties. The effects of capillary and electrical capillary numbers, and core to shell radius ratio on the deformation and orientation angle of core and shell droplets are discussed thoroughly. It is shown that the deformation is highly dependent on these values, as well as the electrical properties. Electric force components and hydrodynamic stresses on the core-shell and shell-medium interfaces are calculated and discussed in detail. It is demonstrated that in some systems, a breakup occurs, which can be circumvented by changing the capillary and electrical capillary numbers as well as the core to shell droplet radius ratio. Finally, different breakup forms are investigated comprehensively.

在本文中，使用不可压缩平滑粒子流体动力学 (ISPH) 方法研究了电场和剪切流共同作用下二维双乳液的动力学。使用了六个不同的系统，每个系统对应不同的电气特性。详细讨论了毛细管数和电毛细管数以及核壳半径比对核壳液滴变形和取向角的影响。结果表明，变形高度依赖于这些值以及电性能。详细计算和讨论了核-壳和壳-介质界面上的电力分量和流体动力应力。已经证明，在某些系统中，会发生分裂，这可以通过改变毛细管数和电毛细管数以及核壳液滴半径比来规避。最后，对不同的分手形式进行了全面的研究。