We numerically investigate the dynamics of two immiscible conductive fluids in a narrow fluidic channel under the combined influence of electric and magnetic fields using a diffuse interface based phase‐field model. The numerical solver is validated from two different perspectives, viz., with the reported results of microscale multiphase transport as well as the available experimental results in the paradigm of electrically actuated transport. The magnetic field induces the Lorentz force due to its interaction with the electrical forcing, which in turn leads to complex interfacial dynamics and development of a finger‐like interface front of the advancing fluid into the receding fluid. Under certain conditions studied in the present work, the trend reverses, and a finger of receding fluid is formed into the advancing fluid. The effect of contrast in fluid properties is studied and the interface breaking phenomenon is observed beyond a threshold viscosity contrast. It is found that for a given viscosity contrast between the fluids, an increase in the strength of the applied magnetic field prevents wetting failure.

中文翻译：

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磁场和电场影响下微通道中的电毛细管填充

我们使用基于扩散界面的相场模型，在电场和磁场的共同影响下，对狭窄的流体通道中两种不混溶的导电流体的动力学进行了数值研究。数值求解器是从两个不同的角度验证的，即已报道的微型多相输运结果以及电驱动输运范式中的可用实验结果。磁场由于与电强迫相互作用而产生洛伦兹力，进而导致复杂的界面动力学以及前进流体进入后退流体的指状界面前沿的发展。在当前工作中研究的某些条件下，趋势逆转，后退的流体形成了手指。研究了反差对流体性质的影响，并且观察到超过阈值粘度反差的界面破裂现象。已经发现，对于流体之间的给定的粘度对比，所施加的磁场强度的增加防止了润湿失败。