粒子在涡旋晶体中的捕获
Particle trapping in vortex crystals
浏览论文内容
中文总结 AI 辅助
该研究探究二维涡旋晶体中惯性粒子的长期捕获条件，结合渐近方法分析轨迹，明确不同雷诺数下涡旋合并对粒子捕获的影响，为相关流体动力学问题提供新发现。
中文摘要 AI 辅助
我们研究二维无黏和黏性涡旋晶体中惯性粒子的运动，这类晶体的涡旋分布在正多边形的顶点处，旨在确定粒子能被长期捕获的条件。在带有中心涡旋的晶体中，我们发现除了此前分析得到的捕获点外还存在其他捕获点，进一步发现粒子轨迹可趋近于一个极限环，该极限环可通过渐近方法描述。我们证明这些新发现的不动点在黏性存在时会暂时保留，并研究黏性涡旋合并后的不同转变：中等雷诺数下，涡旋晶体的环形合并会形成环形涡旋层，可将粒子捕获在原点为中心的圆盘内；雷诺数更大时，成对涡旋合并会形成涡旋数量更少的晶体，粒子会聚集在新形成涡旋晶体的不动点处。
英文摘要
We study the motion of inertial particles in two-dimensional inviscid and viscous vortex crystals, where vortices are placed at the tips of a regular polygon, and determine the conditions under which long-term trapping of particles can occur. In crystals with a central vortex, we find that trapping points in addition to those found in a previous analysis may exist finding, furthermore, that particle trajectories may approach a limit-cycle which can be described by means of asymptotic methods. We show that these newly discovered fixed points persist temporarily in the presence of viscosity, and study the different transitions following viscous vortex mergers. We find that for moderate Reynolds numbers, the annular merger of the vortex crystal form an annular vortex layer that can keep particles trapped within a disk centered at the origin. For larger Reynolds numbers, pairwise vortex merger leads to crystals with a smaller number of vortices, with particles clustering at the fixed points of the newly formed vortex crystal.
