论文标题
简单剪切流中的各向异性粒子：混乱散射的实例
An anisotropic particle in a simple shear flow: an instance of chaotic scattering
论文作者
论文摘要
在Stokesian极限中，单个中性浮力的球周围的流线拓扑与配对途径的拓扑相同，均在环境简单的剪切流中。在这两种情况下，都有前AFT对称开放和闭合轨迹在空间上通过轴对称分离表面划定。该拓扑对于从单个球体的标量传输以及球体稀释悬浮液的流变学具有至关重要的意义。我们表明，在简单的剪切流中，围绕中性浮力自由旋转的球体围绕的流体途径的拓扑是完全不同的，并且将在剪切流中从此类颗粒中传输至关重要。在一定程度上，单个球体问题中的流体途径和两个球体问题中的成对对象有望彼此之间具有定性相似性，此处鉴定出的非平凡轨迹拓扑也将对稀释的Anisotropic颗粒稀释悬浮液的流变学产生重大影响。
In the Stokesian limit, the streamline topology around a single neutrally buoyant sphere is identical to the topology of pair-sphere pathlines, both in an ambient simple shear flow. In both cases there are fore-aft symmetric open and closed trajectories spatially demarcated by an axisymmetric separatrix surface. This topology has crucial implications for both scalar transport from a single sphere, and for the rheology of a dilute suspension of spheres. We show that the topology of the fluid pathlines around a neutrally buoyant freely rotating spheroid, in simple shear flow, is profoundly different, and will have a crucial bearing on transport from such particles in shearing flows. To the extent that fluid pathlines in the single-spheroid problem and pair-trajectories in the two-spheroid problem, are expected to bear a qualitative resemblance to each other, the non-trivial trajectory topology identified here will also have significant consequences for the rheology of dilute suspensions of anisotropic particles.
