Abstract This work aims to reconstruct a continuous magnetization profile of a ferrofluid channel flow by using a discrete Langevin dynamics approach for the fluid’s micro structure. The continuous magnetization field is obtained through the coupled solution of 2D Ferrohydrodynamics equations in a CFD approach using a numerical code developed by the authors. The discrete Langevin Dynamics simulations consider a collection of magnetically interacting particles subjected to long-range field-dipole and dipole-dipole magnetic interactions. The particles are also subjected to hydrodynamic drag and to Brownian fluctuations for the translational and rotational motion. It is assumed that the dipole moments of the magnetic particles are fixed to their mechanical body, meaning they rotate along the particle’s angular velocity with no delay or advance. We identify an interesting demagnetization effect in the near wall region for moderate Brownian timescales associated with the competition between magnetic relaxation and flow’s vorticity.

中文翻译：

---

基于局部涡度单元、CFD 和朗之万动力学重建连续磁化场：一种新的数值方案

摘要 这项工作旨在通过对流体微观结构使用离散朗之万动力学方法重建铁磁流体通道流的连续磁化分布。连续磁化场是通过使用作者开发的数字代码在 CFD 方法中对二维铁流体动力学方程的耦合解获得的。离散朗之万动力学模拟考虑了一组受到长程场-偶极子和偶极子-偶极子磁相互作用的磁相互作用粒子。粒子还受到流体动力阻力和布朗波动的平移和旋转运动。假设磁性粒子的偶极矩固定在它们的机械体上，这意味着它们沿着粒子的角速度旋转，没有延迟或提前。