A coupled ferrohydrodynamic interface-tracking model is introduced for the analysis of the equilibrium, linear stability, and modal response of magnetic liquid interfaces in surface tension-dominated axisymmetric multiphase flows. The incompressible viscous mass and momentum balances are solved together with the steady-state Maxwell equations by following a monolithic solution scheme. The method is fully implicit, allowing to reach a steady-state solution in a single time step. In addition, the time-dependent evolution of the interface subject to variable external inputs can also be simulated. The geometry is particularized for the study of the free surface oscillations of a ferrofluid in a cylindrical tank under the influence of an inhomogeneous magnetic field in microgravity. Five regions are used to discretize the simulation domain, which combines analytical and elliptic mappings. Magnetic field-free results are validated by the literature. The modal response of the fluid-magnetic system agrees with measurements from the European Space Agency (ESA) Drop Your Thesis! 2017 The Ferros experiment and improves previous quasi-analytical estimations. This new framework of analysis can be applied to the study of a wide variety of microfluidic and low-gravity fluid systems.

引入耦合铁流体动力学界面跟踪模型，用于分析表面张力主导的轴对称多相流中磁性液体界面的平衡、线性稳定性和模态响应。不可压缩粘性质量和动量平衡与稳态麦克斯韦方程一起通过遵循整体解法求解。该方法是完全隐式的，允许在单个时间步内达到稳态解。此外，还可以模拟受可变外部输入影响的界面随时间演变的过程。该几何结构专门用于研究在微重力中不均匀磁场的影响下圆柱形罐中铁磁流体的自由表面振荡。五个区域用于离散模拟域，它结合了解析和椭圆映射。无磁场结果经文献验证。流体磁系统的模态响应与欧洲航天局 (ESA) 的测量结果一致放弃你的论文！2017 Ferros实验并改进了以前的准分析估计。这种新的分析框架可应用于各种微流体和低重力流体系统的研究。