两任意形状受迫物体间的流体动力相互作用：I对排列的影响
Hydrodynamic Interactions between Two Forced Objects of Arbitrary Shape: I Effect on Alignment
摘要：
我们研究的属性和对称性管理两个相同的，任意形状的物体，通过粘性流体驱动的流体动力学相互作用。我们对待分析的领导（偶极）项的对迁移率矩阵，影响的瞬时相对线速度和角速度的两个对象在大分离。我们证明，瞬时流体动力相互作用线性退化的非对称对象的对齐由外部时间相关的驱动器[蛾和Witten，物理。110，028301（2013）]。流体动力相互作用的时间依赖性的影响，明确表明通过数值计算的轨迹模型可解释的对象组成的四个stokeslets。除了取向效应外，我们发现两个物体通常相互排斥。在这种情况下，随着两个对象彼此远离，相互退化减弱，并且在很长时间内恢复完全对齐。
英文摘要：
We study the properties and symmetries governing the hydrodynamic interaction between two identical, arbitrarily shaped objects, driven through a viscous fluid. We treat analytically the leading (dipolar) terms of the pair-mobility matrix, affecting the instantaneous relative linear and angular velocities of the two objects at large separation. We prove that the instantaneous hydrodynamic interaction linearly degrades the alignment of asymmetric objects by an external time-dependent drive [Moths and Witten, Phys. Rev. Lett. 110, 028301 (2013)]. The time-dependent effects of hydrodynamic interactions are explicitly demonstrated through numerically calculated trajectories of model alignable objects composed of four stokeslets. In addition to the orientational effect, we find that the two objects usually repel each other. In this case the mutual degradation weakens as the two objects move away from each other, and full alignment is restored at long times.
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