流体中的拓扑、辫状结构和混合
Topology, Braids, and Mixing in Fluids
摘要：
在许多实际应用中，用移动棒搅拌流体以达到均匀性是必要的。这些杆是迫使流体元素拉伸的拓扑障碍物。由此产生的拉伸和折叠通常被观察为细丝和条纹，并且是混合的前兆。在时空图中，杆的轨迹形成一个辫子，而这个辫子的性质在流动中施加了最小的复杂性。我们回顾了流体混合的拓扑观点，并讨论了如何辫子可以用来诊断混合和构建高效的混合装置。我们介绍了一种新的，可实现的设计混合设备，银混频器，基于这些原则。
英文摘要：
Stirring of fluid with moving rods is necessary in many practical applications to achieve homogeneity. These rods are topological obstacles that force stretching of fluid elements. The resulting stretching and folding is commonly observed as filaments and striations, and is a precursor to mixing. In a space-time diagram, the trajectories of the rods form a braid, and the properties of this braid impose a minimal complexity in the flow. We review the topological viewpoint of fluid mixing, and discuss how braids can be used to diagnose mixing and construct efficient mixing devices. We introduce a new, realisable design for a mixing device, the silver mixer, based on these principles.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
