论文标题

磁性流体中粒子间流体动力和磁相互作用的影响

The effect of inter-particle hydrodynamic and magnetic interactions in a magnetorheological fluid

论文作者

Kumaran, V.

论文摘要

磁性流体由悬浮在粘性流体中的磁性颗粒组成,在没有磁场的情况下自由地用散布的颗粒自由流动,但是当施加磁场时,颗粒聚集会导致流动暂停。通过分析受剪切流动的磁场中的磁颗粒之间的相互作用来检查动力停滞的机制。一个孤立的球形磁粒子在低磁场处的旋转状态与高磁场处的静态方向之间经历过渡。检查具有静态方向的球形偶极和极性颗粒的相互作用以进行稀释粘性悬浮液。由于另一个偶极力矩引起的磁场干扰,由于剪切流中非旋转粒子的反对称力矩而引起的流体动力相互作用以及由于粒子磁矩密度而对磁场的修饰,因此存在磁相互作用。当浓度变化时,扭矩平衡条件会导致粒子磁矩方向的干扰。计算由于这些干扰引起的净力和漂移速度,产生的集体运动等效于各向异性扩散过程。当磁场在流平面中时,垂直于磁场方向的两个方向的扩散系数为负,这意味着浓度波动在这些方向上是不稳定的。这种不稳定性可以引发磁性流体中田间诱导的动力阻滞。

A magnetorheological fluid, which consists of magnetic particles suspended in a viscous fluid, flows freely with well-dispersed particles in a the absence of a magnetic field, but particle aggregation results in flow cessation when a field is applied. The mechanism of dynamical arrest is examined by analysing interactions between magnetic particles in a magnetic field subject to a shear flow. An isolated spherical magnetic particle undergoes a transition between a rotating state at low magnetic field and a static orientation at high magnetic field. The effect of interactions for spherical dipolar and polarisable particles with static orientation is examined for a dilute viscous suspension. There are magnetic interactions due to the magnetic field disturbance at one particle caused by the dipole moment of another, hydrodynamic interactions due to the antisymmetric force moment of a non-rotating particle in a shear flow, and a modification of the magnetic field due to the particle magnetic moment density. When there is a concentration variation, the torque balance condition results in a disturbance to the orientation of the particle magnetic moment. The net force and the drift velocity due to these disturbances is calculated, and the collective motion generated is equivalent to an anisotropic diffusion process. When the magnetic field is in the flow plane, the diffusion coefficients in the two directions perpendicular to the field direction are negative, implying that concentration fluctuations are unstable in these directions. This instability could initiate field-induced dynamical arrest in a magnetorheological fluid.

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