RUI: Lagrangian studies of active mixing -- barriers, enhanced transport and collective behavior

非技术性描述这个项目解决了流体混合如何影响流动过程的问题。 在过去的十年中，主要研究者的研究小组进行了实验的行为反应前沿移动流体流动。这些实验证实了一个理论，该理论预测存在着无形的障碍，阻碍了流动中反应前沿的运动。新的实验将非常相似的理论应用于一个看似非常不同的过程：自推进（“主动”）示踪剂的游动，如流动中的微观细菌。这些实验研究是否有无形的障碍物阻止游泳细菌的运动，如果有，这些障碍物如何影响细菌的个体和群体行为。最终，这些实验可能会导致更好地了解海洋中有害藻类的大量繁殖，这些藻类会破坏海洋生态系统;新材料的“自我组装”;微观流动在胚胎发育中的作用;以及人口流动对疾病传播的影响。所有这些研究都是由本科生完成的，他们在研究的各个方面都发挥着积极的作用，包括实验设计，仪器的建造和测试，数据收集和分析，以及结果的出版和展示。 这些都是第一次真实的研究经验，为大多数这些学生，并发挥了重要作用，在他们的发展作为科学家。技术说明许多流体过程的严重影响，其中示踪剂是由流动混合的方式。该项目由一系列实验组成，研究流动中主动（自推进）示踪剂的混合和运输。在实验中使用两种细菌菌株（枯草芽孢杆菌）作为活性示踪剂：（a）野生型细菌，其在不存在流动和化学梯度的情况下遵循随机运行和翻滚轨迹;和（B）平滑游动细菌，其已经遗传突变以消除其改变游动方向的能力。这些流动是实验室规模的、涡旋主导的流动或足够小规模的微流体流动，以跟踪单个细菌。实验结果进行了分析与凯文米切尔（加州大学默塞德）提出的理论是基于“游泳不变流形”，作为单向障碍的运动的游泳者。这一理论类似于反应前沿的“燃烧不变流形”理论，该理论已被主要研究者和他的学生通过实验验证，以预测和解释阻止反应前沿传播的单向障碍。该研究项目解决了以下问题：（a）限制流动中活性示踪剂运动的单向障碍物的存在和拓扑结构;（B）营养梯度的影响（c）由于游动和流体平流的结合，增强了活性示踪剂的远距离运输;以及（d）混合和运输对生物体集体行为的影响。该奖项反映了NSF的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

Non-Technical DescriptionThis project addresses the question of how fluid mixing affects processes going on in the flow. During the past decade, the principle investigator's research group has conducted experiments on the behavior of reaction fronts moving in fluid flows. Those experiments have verified a theory that predicts the existence of invisible barriers that block the motion of reaction fronts in a flow. The new experiments apply very similar theories to a seemingly very different process: the swimming of self-propelled ("active") tracers such as microscopic bacteria in a flow. The experiments investigate whether there are invisible barriers that block the motion of swimming bacteria and, if so, how these barriers affect both the individual and group behavior of the bacteria. Ultimately, these experiments may lead to a better understanding of blooms of harmful algae in the oceans that can damage marine ecosystems; "self-assembly" of novel materials; the role of microscopic flows in developing embryos; and the effects of moving populations on the spreading of a disease. All of this research is done with undergraduate students who play an active role in all aspects of the studies, including experimental design, building and testing of the apparatus, data collection and analysis, and publication and presentation of the results. These are the first real research experiences for most of these students, and play an important role in their development as scientists.Technical DescriptionMany fluid processes are heavily influenced by the manner in which tracers are mixed by flows. This project is composed of a series of experiments that study the mixing and transport of active (self-propelled) tracers in a flow. Two strains of bacteria (bacillus subtilis) are used in the experiments as the active tracers: (a) wild type bacteria, which follow a random run and tumble trajectory in the absence of a flow and chemical gradients; and (b) smooth swimming bacteria, which have been genetically mutated to eliminate their ability to change swimming directions. The flows are either laboratory scale, vortex-dominated flows or microfluidic flows on a small enough scale to track individual bacteria. The experimental results are analyzed with a theory proposed by Kevin Mitchell (University of California at Merced) that is based on "swimming invariant manifolds" that act as one-way barriers to the motion of the swimmers. This theory is similar to a theory of "burning invariant manifolds" for reaction fronts that has been verified experimentally by the principle investigator and his students to predict and explain one-way barriers that block reaction front propagation. The research project addresses the following issues: (a) the existence and topology of one-way barriers that restrict the motion of active tracers in a flow; (b) the effects of nutrient gradients (chemotaxis) in the flow on these barriers; (c) enhanced long-range transport of active tracers due to a combination of swimming and fluid advection; and (d) the effects of mixing and transport on collective behavior of the organisms.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.