Hydrodynamics and Brownian motions of a spheroid near a rigid wall
Hydrodynamics and Brownian motions of a spheroid near a rigid wall
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DOI：
10.1063/1.4920981
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发表时间：
2015-05-21
影响因子：
4.4
通讯作者：
Maffettone, P. L.
中科院分区：
文献类型：
--
作者：
De Corato, M.;Greco, F.;Maffettone, P. L.
在这项工作中，我们详细研究了流体力学和布朗运动的球形粒子悬浮在牛顿流体附近的一个平坦的刚性壁。我们采用三维有限元方法（FEM）模拟计算的迁移率张量的球体如何变化的颗粒壁分离距离和颗粒的取向。然后，我们研究的椭球体的布朗运动的离散朗之万方程。我们特别关注的位置和取向依赖的迁移率矩阵所产生的额外的漂移项。在这方面，我们还提出了一个数值上方便的近似的迁移率矩阵的取向发散的朗之万方程的解决方案中所需的。我们的结果表明，流体动力学和布朗运动的球形粒子附近的限制壁显示新的功能，从那些在同一类型的限制球。(C)2015 AIP Publishing LLC.
In this work, we study in detail the hydrodynamics and the Brownian motions of a spheroidal particle suspended in a Newtonian fluid near a flat rigid wall. We employ 3D Finite Element Method (FEM) simulations to compute how the mobility tensor of the spheroid varies with both the particle-wall separation distance and the particle orientation. We then study the Brownian motion of the spheroid by means of a discretized Langevin equation. We specifically focus on the additional drift terms arising from the position and orientational dependence of the mobility matrix. In this respect, we also propose a numerically convenient approximation of the orientational divergence of the mobility matrix that is required in the solution of the Langevin equation. Our results illustrate that both hydrodynamics and Brownian motions of a spheroidal particle near a confining wall display novel features from those of a sphere in the same type of confinement. (C) 2015 AIP Publishing LLC.